---
_id: '14772'
abstract:
- lang: eng
text: "Many coupled evolution equations can be described via 2×2-block operator
matrices of the form A=[ \r\nA\tB\r\nC\tD\r\n ] in a product space X=X1×X2 with
possibly unbounded entries. Here, the case of diagonally dominant block operator
matrices is considered, that is, the case where the full operator A can be seen
as a relatively bounded perturbation of its diagonal part with D(A)=D(A)×D(D)
though with possibly large relative bound. For such operators the properties of
sectoriality, R-sectoriality and the boundedness of the H∞-calculus are studied,
and for these properties perturbation results for possibly large but structured
perturbations are derived. Thereby, the time dependent parabolic problem associated
with A can be analyzed in maximal Lpt\r\n-regularity spaces, and this is applied
to a wide range of problems such as different theories for liquid crystals, an
artificial Stokes system, strongly damped wave and plate equations, and a Keller-Segel
model."
acknowledgement: "We would like to thank Tim Binz, Emiel Lorist and Mark Veraar for
valuable discussions. We also thank the anonymous referees for their helpful comments
and suggestions, and for the very accurate reading of the manuscript.\r\nThe first
author has been supported partially by the Nachwuchsring – Network for the promotion
of young scientists – at TU Kaiserslautern. Both authors have been supported by
MathApp – Mathematics Applied to Real-World Problems - part of the Research Initiative
of the Federal State of Rhineland-Palatinate, Germany."
article_number: '110146'
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Antonio
full_name: Agresti, Antonio
id: 673cd0cc-9b9a-11eb-b144-88f30e1fbb72
last_name: Agresti
orcid: 0000-0002-9573-2962
- first_name: Amru
full_name: Hussein, Amru
last_name: Hussein
citation:
ama: Agresti A, Hussein A. Maximal Lp-regularity and H∞-calculus for block operator
matrices and applications. Journal of Functional Analysis. 2023;285(11).
doi:10.1016/j.jfa.2023.110146
apa: Agresti, A., & Hussein, A. (2023). Maximal Lp-regularity and H∞-calculus
for block operator matrices and applications. Journal of Functional Analysis.
Elsevier. https://doi.org/10.1016/j.jfa.2023.110146
chicago: Agresti, Antonio, and Amru Hussein. “Maximal Lp-Regularity and H∞-Calculus
for Block Operator Matrices and Applications.” Journal of Functional Analysis.
Elsevier, 2023. https://doi.org/10.1016/j.jfa.2023.110146.
ieee: A. Agresti and A. Hussein, “Maximal Lp-regularity and H∞-calculus for block
operator matrices and applications,” Journal of Functional Analysis, vol.
285, no. 11. Elsevier, 2023.
ista: Agresti A, Hussein A. 2023. Maximal Lp-regularity and H∞-calculus for block
operator matrices and applications. Journal of Functional Analysis. 285(11), 110146.
mla: Agresti, Antonio, and Amru Hussein. “Maximal Lp-Regularity and H∞-Calculus
for Block Operator Matrices and Applications.” Journal of Functional Analysis,
vol. 285, no. 11, 110146, Elsevier, 2023, doi:10.1016/j.jfa.2023.110146.
short: A. Agresti, A. Hussein, Journal of Functional Analysis 285 (2023).
date_created: 2024-01-10T09:15:18Z
date_published: 2023-12-01T00:00:00Z
date_updated: 2024-01-10T11:24:56Z
day: '01'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1016/j.jfa.2023.110146
external_id:
arxiv:
- '2108.01962'
isi:
- '001081809000001'
file:
- access_level: open_access
checksum: eda98ca2aa73da91bd074baed34c2b3c
content_type: application/pdf
creator: dernst
date_created: 2024-01-10T11:23:57Z
date_updated: 2024-01-10T11:23:57Z
file_id: '14789'
file_name: 2023_JourFunctionalAnalysis_Agresti.pdf
file_size: 1120592
relation: main_file
success: 1
file_date_updated: 2024-01-10T11:23:57Z
has_accepted_license: '1'
intvolume: ' 285'
isi: 1
issue: '11'
keyword:
- Analysis
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
publication: Journal of Functional Analysis
publication_identifier:
issn:
- 0022-1236
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Maximal Lp-regularity and H∞-calculus for block operator matrices and applications
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 285
year: '2023'
...
---
_id: '13135'
abstract:
- lang: eng
text: In this paper we consider a class of stochastic reaction-diffusion equations.
We provide local well-posedness, regularity, blow-up criteria and positivity of
solutions. The key novelties of this work are related to the use transport noise,
critical spaces and the proof of higher order regularity of solutions – even in
case of non-smooth initial data. Crucial tools are Lp(Lp)-theory, maximal regularity
estimates and sharp blow-up criteria. We view the results of this paper as a general
toolbox for establishing global well-posedness for a large class of reaction-diffusion
systems of practical interest, of which many are completely open. In our follow-up
work [8], the results of this paper are applied in the specific cases of the Lotka-Volterra
equations and the Brusselator model.
acknowledgement: The first author has received funding from the European Research
Council (ERC) under the European Union's Horizon 2020 research and innovation programme
(grant agreement No. 948819) Image 1. The second author is supported by the VICI
subsidy VI.C.212.027 of the Netherlands Organisation for Scientific Research (NWO).
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Antonio
full_name: Agresti, Antonio
id: 673cd0cc-9b9a-11eb-b144-88f30e1fbb72
last_name: Agresti
orcid: 0000-0002-9573-2962
- first_name: Mark
full_name: Veraar, Mark
last_name: Veraar
citation:
ama: 'Agresti A, Veraar M. Reaction-diffusion equations with transport noise and
critical superlinear diffusion: Local well-posedness and positivity. Journal
of Differential Equations. 2023;368(9):247-300. doi:10.1016/j.jde.2023.05.038'
apa: 'Agresti, A., & Veraar, M. (2023). Reaction-diffusion equations with transport
noise and critical superlinear diffusion: Local well-posedness and positivity.
Journal of Differential Equations. Elsevier. https://doi.org/10.1016/j.jde.2023.05.038'
chicago: 'Agresti, Antonio, and Mark Veraar. “Reaction-Diffusion Equations with
Transport Noise and Critical Superlinear Diffusion: Local Well-Posedness and Positivity.”
Journal of Differential Equations. Elsevier, 2023. https://doi.org/10.1016/j.jde.2023.05.038.'
ieee: 'A. Agresti and M. Veraar, “Reaction-diffusion equations with transport noise
and critical superlinear diffusion: Local well-posedness and positivity,” Journal
of Differential Equations, vol. 368, no. 9. Elsevier, pp. 247–300, 2023.'
ista: 'Agresti A, Veraar M. 2023. Reaction-diffusion equations with transport noise
and critical superlinear diffusion: Local well-posedness and positivity. Journal
of Differential Equations. 368(9), 247–300.'
mla: 'Agresti, Antonio, and Mark Veraar. “Reaction-Diffusion Equations with Transport
Noise and Critical Superlinear Diffusion: Local Well-Posedness and Positivity.”
Journal of Differential Equations, vol. 368, no. 9, Elsevier, 2023, pp.
247–300, doi:10.1016/j.jde.2023.05.038.'
short: A. Agresti, M. Veraar, Journal of Differential Equations 368 (2023) 247–300.
date_created: 2023-06-18T22:00:45Z
date_published: 2023-09-25T00:00:00Z
date_updated: 2024-01-29T11:04:41Z
day: '25'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1016/j.jde.2023.05.038
ec_funded: 1
external_id:
isi:
- '001019018700001'
file:
- access_level: open_access
checksum: 246b703b091dfe047bfc79abf0891a63
content_type: application/pdf
creator: dernst
date_created: 2024-01-29T11:03:09Z
date_updated: 2024-01-29T11:03:09Z
file_id: '14895'
file_name: 2023_JourDifferentialEquations_Agresti.pdf
file_size: 834638
relation: main_file
success: 1
file_date_updated: 2024-01-29T11:03:09Z
has_accepted_license: '1'
intvolume: ' 368'
isi: 1
issue: '9'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 247-300
project:
- _id: 0aa76401-070f-11eb-9043-b5bb049fa26d
call_identifier: H2020
grant_number: '948819'
name: Bridging Scales in Random Materials
publication: Journal of Differential Equations
publication_identifier:
eissn:
- 1090-2732
issn:
- 0022-0396
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Reaction-diffusion equations with transport noise and critical superlinear
diffusion: Local well-posedness and positivity'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 368
year: '2023'
...
---
_id: '12429'
abstract:
- lang: eng
text: In this paper, we consider traces at initial times for functions with mixed
time-space smoothness. Such results are often needed in the theory of evolution
equations. Our result extends and unifies many previous results. Our main improvement
is that we can allow general interpolation couples. The abstract results are applied
to regularity problems for fractional evolution equations and stochastic evolution
equations, where uniform trace estimates on the half-line are shown.
acknowledgement: The first author has been partially supported by the Nachwuchsring—Network
for the promotion of young scientists—at TU Kaiserslautern. The second and third
authors were supported by the Vidi subsidy 639.032.427 of the Netherlands Organisation
for Scientific Research (NWO).
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Antonio
full_name: Agresti, Antonio
id: 673cd0cc-9b9a-11eb-b144-88f30e1fbb72
last_name: Agresti
orcid: 0000-0002-9573-2962
- first_name: Nick
full_name: Lindemulder, Nick
last_name: Lindemulder
- first_name: Mark
full_name: Veraar, Mark
last_name: Veraar
citation:
ama: Agresti A, Lindemulder N, Veraar M. On the trace embedding and its applications
to evolution equations. Mathematische Nachrichten. 2023;296(4):1319-1350.
doi:10.1002/mana.202100192
apa: Agresti, A., Lindemulder, N., & Veraar, M. (2023). On the trace embedding
and its applications to evolution equations. Mathematische Nachrichten.
Wiley. https://doi.org/10.1002/mana.202100192
chicago: Agresti, Antonio, Nick Lindemulder, and Mark Veraar. “On the Trace Embedding
and Its Applications to Evolution Equations.” Mathematische Nachrichten.
Wiley, 2023. https://doi.org/10.1002/mana.202100192.
ieee: A. Agresti, N. Lindemulder, and M. Veraar, “On the trace embedding and its
applications to evolution equations,” Mathematische Nachrichten, vol. 296,
no. 4. Wiley, pp. 1319–1350, 2023.
ista: Agresti A, Lindemulder N, Veraar M. 2023. On the trace embedding and its applications
to evolution equations. Mathematische Nachrichten. 296(4), 1319–1350.
mla: Agresti, Antonio, et al. “On the Trace Embedding and Its Applications to Evolution
Equations.” Mathematische Nachrichten, vol. 296, no. 4, Wiley, 2023, pp.
1319–50, doi:10.1002/mana.202100192.
short: A. Agresti, N. Lindemulder, M. Veraar, Mathematische Nachrichten 296 (2023)
1319–1350.
date_created: 2023-01-29T23:00:59Z
date_published: 2023-04-01T00:00:00Z
date_updated: 2023-08-16T11:41:42Z
day: '01'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1002/mana.202100192
external_id:
arxiv:
- '2104.05063'
isi:
- '000914134900001'
file:
- access_level: open_access
checksum: 6f099f1d064173784d1a27716a2cc795
content_type: application/pdf
creator: dernst
date_created: 2023-08-16T11:40:02Z
date_updated: 2023-08-16T11:40:02Z
file_id: '14067'
file_name: 2023_MathNachrichten_Agresti.pdf
file_size: 449280
relation: main_file
success: 1
file_date_updated: 2023-08-16T11:40:02Z
has_accepted_license: '1'
intvolume: ' 296'
isi: 1
issue: '4'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc/4.0/
month: '04'
oa: 1
oa_version: Published Version
page: 1319-1350
publication: Mathematische Nachrichten
publication_identifier:
eissn:
- 1522-2616
issn:
- 0025-584X
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the trace embedding and its applications to evolution equations
tmp:
image: /images/cc_by_nc.png
legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
short: CC BY-NC (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 296
year: '2023'
...
---
_id: '12486'
abstract:
- lang: eng
text: This paper is concerned with the problem of regularization by noise of systems
of reaction–diffusion equations with mass control. It is known that strong solutions
to such systems of PDEs may blow-up in finite time. Moreover, for many systems
of practical interest, establishing whether the blow-up occurs or not is an open
question. Here we prove that a suitable multiplicative noise of transport type
has a regularizing effect. More precisely, for both a sufficiently noise intensity
and a high spectrum, the blow-up of strong solutions is delayed up to an arbitrary
large time. Global existence is shown for the case of exponentially decreasing
mass. The proofs combine and extend recent developments in regularization by noise
and in the Lp(Lq)-approach to stochastic PDEs, highlighting new connections between
the two areas.
acknowledgement: "The author has received funding from the European Research Council
(ERC) under the European Union’s Horizon 2020 research and innovation programme
(Grant Agreement No. 948819).\r\nThe author thanks Lorenzo Dello Schiavo, Lucio
Galeati and Mark Veraar for helpful comments. The author acknowledges Caterina Balzotti
for her support in creating the picture. The author\r\nthanks the anonymous referee
for helpful comments. "
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Antonio
full_name: Agresti, Antonio
id: 673cd0cc-9b9a-11eb-b144-88f30e1fbb72
last_name: Agresti
orcid: 0000-0002-9573-2962
citation:
ama: 'Agresti A. Delayed blow-up and enhanced diffusion by transport noise for systems
of reaction-diffusion equations. Stochastics and Partial Differential Equations:
Analysis and Computations. 2023. doi:10.1007/s40072-023-00319-4'
apa: 'Agresti, A. (2023). Delayed blow-up and enhanced diffusion by transport noise
for systems of reaction-diffusion equations. Stochastics and Partial Differential
Equations: Analysis and Computations. Springer Nature. https://doi.org/10.1007/s40072-023-00319-4'
chicago: 'Agresti, Antonio. “Delayed Blow-up and Enhanced Diffusion by Transport
Noise for Systems of Reaction-Diffusion Equations.” Stochastics and Partial
Differential Equations: Analysis and Computations. Springer Nature, 2023.
https://doi.org/10.1007/s40072-023-00319-4.'
ieee: 'A. Agresti, “Delayed blow-up and enhanced diffusion by transport noise for
systems of reaction-diffusion equations,” Stochastics and Partial Differential
Equations: Analysis and Computations. Springer Nature, 2023.'
ista: 'Agresti A. 2023. Delayed blow-up and enhanced diffusion by transport noise
for systems of reaction-diffusion equations. Stochastics and Partial Differential
Equations: Analysis and Computations.'
mla: 'Agresti, Antonio. “Delayed Blow-up and Enhanced Diffusion by Transport Noise
for Systems of Reaction-Diffusion Equations.” Stochastics and Partial Differential
Equations: Analysis and Computations, Springer Nature, 2023, doi:10.1007/s40072-023-00319-4.'
short: 'A. Agresti, Stochastics and Partial Differential Equations: Analysis and
Computations (2023).'
date_created: 2023-02-02T10:45:47Z
date_published: 2023-11-28T00:00:00Z
date_updated: 2023-12-18T07:53:45Z
day: '28'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1007/s40072-023-00319-4
ec_funded: 1
external_id:
arxiv:
- '2207.08293'
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1007/s40072-023-00319-4
month: '11'
oa: 1
oa_version: Submitted Version
project:
- _id: 0aa76401-070f-11eb-9043-b5bb049fa26d
call_identifier: H2020
grant_number: '948819'
name: Bridging Scales in Random Materials
publication: 'Stochastics and Partial Differential Equations: Analysis and Computations'
publication_identifier:
eissn:
- 2194-041X
issn:
- 2194-0401
publication_status: epub_ahead
publisher: Springer Nature
scopus_import: '1'
status: public
title: Delayed blow-up and enhanced diffusion by transport noise for systems of reaction-diffusion
equations
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '11701'
abstract:
- lang: eng
text: In this paper we develop a new approach to nonlinear stochastic partial differential
equations with Gaussian noise. Our aim is to provide an abstract framework which
is applicable to a large class of SPDEs and includes many important cases of nonlinear
parabolic problems which are of quasi- or semilinear type. This first part is
on local existence and well-posedness. A second part in preparation is on blow-up
criteria and regularization. Our theory is formulated in an Lp-setting, and because
of this we can deal with nonlinearities in a very efficient way. Applications
to several concrete problems and their quasilinear variants are given. This includes
Burgers' equation, the Allen–Cahn equation, the Cahn–Hilliard equation, reaction–diffusion
equations, and the porous media equation. The interplay of the nonlinearities
and the critical spaces of initial data leads to new results and insights for
these SPDEs. The proofs are based on recent developments in maximal regularity
theory for the linearized problem for deterministic and stochastic evolution equations.
In particular, our theory can be seen as a stochastic version of the theory of
critical spaces due to Prüss–Simonett–Wilke (2018). Sharp weighted time-regularity
allow us to deal with rough initial values and obtain instantaneous regularization
results. The abstract well-posedness results are obtained by a combination of
several sophisticated splitting and truncation arguments.
acknowledgement: The second author is supported by the VIDI subsidy 639.032.427 of
the Netherlands Organisation for Scientific Research (NWO).
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Antonio
full_name: Agresti, Antonio
id: 673cd0cc-9b9a-11eb-b144-88f30e1fbb72
last_name: Agresti
orcid: 0000-0002-9573-2962
- first_name: Mark
full_name: Veraar, Mark
last_name: Veraar
citation:
ama: Agresti A, Veraar M. Nonlinear parabolic stochastic evolution equations in
critical spaces Part I. Stochastic maximal regularity and local existence. Nonlinearity.
2022;35(8):4100-4210. doi:10.1088/1361-6544/abd613
apa: Agresti, A., & Veraar, M. (2022). Nonlinear parabolic stochastic evolution
equations in critical spaces Part I. Stochastic maximal regularity and local existence.
Nonlinearity. IOP Publishing. https://doi.org/10.1088/1361-6544/abd613
chicago: Agresti, Antonio, and Mark Veraar. “Nonlinear Parabolic Stochastic Evolution
Equations in Critical Spaces Part I. Stochastic Maximal Regularity and Local Existence.”
Nonlinearity. IOP Publishing, 2022. https://doi.org/10.1088/1361-6544/abd613.
ieee: A. Agresti and M. Veraar, “Nonlinear parabolic stochastic evolution equations
in critical spaces Part I. Stochastic maximal regularity and local existence,”
Nonlinearity, vol. 35, no. 8. IOP Publishing, pp. 4100–4210, 2022.
ista: Agresti A, Veraar M. 2022. Nonlinear parabolic stochastic evolution equations
in critical spaces Part I. Stochastic maximal regularity and local existence.
Nonlinearity. 35(8), 4100–4210.
mla: Agresti, Antonio, and Mark Veraar. “Nonlinear Parabolic Stochastic Evolution
Equations in Critical Spaces Part I. Stochastic Maximal Regularity and Local Existence.”
Nonlinearity, vol. 35, no. 8, IOP Publishing, 2022, pp. 4100–210, doi:10.1088/1361-6544/abd613.
short: A. Agresti, M. Veraar, Nonlinearity 35 (2022) 4100–4210.
date_created: 2022-07-31T22:01:47Z
date_published: 2022-08-04T00:00:00Z
date_updated: 2023-08-03T12:25:08Z
day: '04'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1088/1361-6544/abd613
external_id:
arxiv:
- '2001.00512'
isi:
- '000826695900001'
file:
- access_level: open_access
checksum: 997a4bff2dfbee3321d081328c2f1e1a
content_type: application/pdf
creator: dernst
date_created: 2022-08-01T10:39:36Z
date_updated: 2022-08-01T10:39:36Z
file_id: '11715'
file_name: 2022_Nonlinearity_Agresti.pdf
file_size: 2122096
relation: main_file
success: 1
file_date_updated: 2022-08-01T10:39:36Z
has_accepted_license: '1'
intvolume: ' 35'
isi: 1
issue: '8'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/3.0/
month: '08'
oa: 1
oa_version: Published Version
page: 4100-4210
publication: Nonlinearity
publication_identifier:
eissn:
- 1361-6544
issn:
- 0951-7715
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Nonlinear parabolic stochastic evolution equations in critical spaces Part
I. Stochastic maximal regularity and local existence
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
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type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 35
year: '2022'
...
---
_id: '11858'
abstract:
- lang: eng
text: "This paper is a continuation of Part I of this project, where we developed
a new local well-posedness theory for nonlinear stochastic PDEs with Gaussian
noise. In the current Part II we consider blow-up criteria and regularization
phenomena. As in Part I we can allow nonlinearities with polynomial growth and
rough initial values from critical spaces. In the first main result we obtain
several new blow-up criteria for quasi- and semilinear stochastic evolution equations.
In particular, for semilinear equations we obtain a Serrin type blow-up criterium,
which extends a recent result of Prüss–Simonett–Wilke (J Differ Equ 264(3):2028–2074,
2018) to the stochastic setting. Blow-up criteria can be used to prove global
well-posedness for SPDEs. As in Part I, maximal regularity techniques and weights
in time play a central role in the proofs. Our second contribution is a new method
to bootstrap Sobolev and Hölder regularity in time and space, which does not require
smoothness of the initial data. The blow-up criteria are at the basis of these
new methods. Moreover, in applications the bootstrap results can be combined with
our blow-up criteria, to obtain efficient ways to prove global existence. This
gives new results even in classical \U0001D43F2-settings, which we illustrate
for a concrete SPDE. In future works in preparation we apply the results of the
current paper to obtain global well-posedness results and regularity for several
concrete SPDEs. These include stochastic Navier–Stokes equations, reaction– diffusion
equations and the Allen–Cahn equation. Our setting allows to put these SPDEs into
a more flexible framework, where less restrictions on the nonlinearities are needed,
and we are able to treat rough initial values from critical spaces. Moreover,
we will obtain higher-order regularity results."
acknowledgement: "The authors thank Emiel Lorist for helpful comments. The authors
thank the anonymous referees for their helpful remarks to improve the presentation.\r\nOpen
access funding provided by Institute of Science and Technology (IST Austria)."
article_number: '56'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Antonio
full_name: Agresti, Antonio
id: 673cd0cc-9b9a-11eb-b144-88f30e1fbb72
last_name: Agresti
orcid: 0000-0002-9573-2962
- first_name: Mark
full_name: Veraar, Mark
last_name: Veraar
citation:
ama: Agresti A, Veraar M. Nonlinear parabolic stochastic evolution equations in
critical spaces part II. Journal of Evolution Equations. 2022;22(2). doi:10.1007/s00028-022-00786-7
apa: Agresti, A., & Veraar, M. (2022). Nonlinear parabolic stochastic evolution
equations in critical spaces part II. Journal of Evolution Equations. Springer
Nature. https://doi.org/10.1007/s00028-022-00786-7
chicago: Agresti, Antonio, and Mark Veraar. “Nonlinear Parabolic Stochastic Evolution
Equations in Critical Spaces Part II.” Journal of Evolution Equations.
Springer Nature, 2022. https://doi.org/10.1007/s00028-022-00786-7.
ieee: A. Agresti and M. Veraar, “Nonlinear parabolic stochastic evolution equations
in critical spaces part II,” Journal of Evolution Equations, vol. 22, no.
2. Springer Nature, 2022.
ista: Agresti A, Veraar M. 2022. Nonlinear parabolic stochastic evolution equations
in critical spaces part II. Journal of Evolution Equations. 22(2), 56.
mla: Agresti, Antonio, and Mark Veraar. “Nonlinear Parabolic Stochastic Evolution
Equations in Critical Spaces Part II.” Journal of Evolution Equations,
vol. 22, no. 2, 56, Springer Nature, 2022, doi:10.1007/s00028-022-00786-7.
short: A. Agresti, M. Veraar, Journal of Evolution Equations 22 (2022).
date_created: 2022-08-16T08:39:43Z
date_published: 2022-06-01T00:00:00Z
date_updated: 2023-08-03T12:53:51Z
day: '01'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1007/s00028-022-00786-7
external_id:
isi:
- '000809108500001'
file:
- access_level: open_access
checksum: 59b99d1b48b6bd40983e7ce298524a21
content_type: application/pdf
creator: kschuh
date_created: 2022-08-16T08:52:46Z
date_updated: 2022-08-16T08:52:46Z
file_id: '11862'
file_name: 2022_Journal of Evolution Equations_Agresti.pdf
file_size: 1758371
relation: main_file
success: 1
file_date_updated: 2022-08-16T08:52:46Z
has_accepted_license: '1'
intvolume: ' 22'
isi: 1
issue: '2'
keyword:
- Mathematics (miscellaneous)
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
publication: Journal of Evolution Equations
publication_identifier:
eissn:
- 1424-3202
issn:
- 1424-3199
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Nonlinear parabolic stochastic evolution equations in critical spaces part
II
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 22
year: '2022'
...
---
_id: '12178'
abstract:
- lang: eng
text: In this paper we consider the stochastic primitive equation for geophysical
flows subject to transport noise and turbulent pressure. Admitting very rough
noise terms, the global existence and uniqueness of solutions to this stochastic
partial differential equation are proven using stochastic maximal L² regularity,
the theory of critical spaces for stochastic evolution equations, and global a
priori bounds. Compared to other results in this direction, we do not need any
smallness assumption on the transport noise which acts directly on the velocity
field and we also allow rougher noise terms. The adaptation to Stratonovich type
noise and, more generally, to variable viscosity and/or conductivity are discussed
as well.
acknowledgement: The authors thank the anonymous referees for their helpful comments
and suggestions. Open Access funding enabled and organized by Projekt DEAL.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Antonio
full_name: Agresti, Antonio
id: 673cd0cc-9b9a-11eb-b144-88f30e1fbb72
last_name: Agresti
orcid: 0000-0002-9573-2962
- first_name: Matthias
full_name: Hieber, Matthias
last_name: Hieber
- first_name: Amru
full_name: Hussein, Amru
last_name: Hussein
- first_name: Martin
full_name: Saal, Martin
last_name: Saal
citation:
ama: 'Agresti A, Hieber M, Hussein A, Saal M. The stochastic primitive equations
with transport noise and turbulent pressure. Stochastics and Partial Differential
Equations: Analysis and Computations. 2022. doi:10.1007/s40072-022-00277-3'
apa: 'Agresti, A., Hieber, M., Hussein, A., & Saal, M. (2022). The stochastic
primitive equations with transport noise and turbulent pressure. Stochastics
and Partial Differential Equations: Analysis and Computations. Springer Nature.
https://doi.org/10.1007/s40072-022-00277-3'
chicago: 'Agresti, Antonio, Matthias Hieber, Amru Hussein, and Martin Saal. “The
Stochastic Primitive Equations with Transport Noise and Turbulent Pressure.” Stochastics
and Partial Differential Equations: Analysis and Computations. Springer Nature,
2022. https://doi.org/10.1007/s40072-022-00277-3.'
ieee: 'A. Agresti, M. Hieber, A. Hussein, and M. Saal, “The stochastic primitive
equations with transport noise and turbulent pressure,” Stochastics and Partial
Differential Equations: Analysis and Computations. Springer Nature, 2022.'
ista: 'Agresti A, Hieber M, Hussein A, Saal M. 2022. The stochastic primitive equations
with transport noise and turbulent pressure. Stochastics and Partial Differential
Equations: Analysis and Computations.'
mla: 'Agresti, Antonio, et al. “The Stochastic Primitive Equations with Transport
Noise and Turbulent Pressure.” Stochastics and Partial Differential Equations:
Analysis and Computations, Springer Nature, 2022, doi:10.1007/s40072-022-00277-3.'
short: 'A. Agresti, M. Hieber, A. Hussein, M. Saal, Stochastics and Partial Differential
Equations: Analysis and Computations (2022).'
date_created: 2023-01-12T12:12:29Z
date_published: 2022-10-27T00:00:00Z
date_updated: 2023-08-16T09:11:38Z
day: '27'
department:
- _id: JuFi
doi: 10.1007/s40072-022-00277-3
external_id:
isi:
- '000874389000001'
isi: 1
keyword:
- Applied Mathematics
- Modeling and Simulation
- Statistics and Probability
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1007/s40072-022-00277-3
month: '10'
oa: 1
oa_version: Published Version
publication: 'Stochastics and Partial Differential Equations: Analysis and Computations'
publication_identifier:
eissn:
- 2194-041X
issn:
- 2194-0401
publication_status: epub_ahead
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The stochastic primitive equations with transport noise and turbulent pressure
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2022'
...