---
_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. <i>Mathematische Nachrichten</i>. 2023;296(4):1319-1350.
    doi:<a href="https://doi.org/10.1002/mana.202100192">10.1002/mana.202100192</a>
  apa: Agresti, A., Lindemulder, N., &#38; Veraar, M. (2023). On the trace embedding
    and its applications to evolution equations. <i>Mathematische Nachrichten</i>.
    Wiley. <a href="https://doi.org/10.1002/mana.202100192">https://doi.org/10.1002/mana.202100192</a>
  chicago: Agresti, Antonio, Nick Lindemulder, and Mark Veraar. “On the Trace Embedding
    and Its Applications to Evolution Equations.” <i>Mathematische Nachrichten</i>.
    Wiley, 2023. <a href="https://doi.org/10.1002/mana.202100192">https://doi.org/10.1002/mana.202100192</a>.
  ieee: A. Agresti, N. Lindemulder, and M. Veraar, “On the trace embedding and its
    applications to evolution equations,” <i>Mathematische Nachrichten</i>, 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.” <i>Mathematische Nachrichten</i>, vol. 296, no. 4, Wiley, 2023, pp.
    1319–50, doi:<a href="https://doi.org/10.1002/mana.202100192">10.1002/mana.202100192</a>.
  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
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  file_name: 2023_MathNachrichten_Agresti.pdf
  file_size: 449280
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  success: 1
file_date_updated: 2023-08-16T11:40:02Z
has_accepted_license: '1'
intvolume: '       296'
isi: 1
issue: '4'
language:
- iso: eng
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'
...