---
_id: '7388'
abstract:
- lang: eng
  text: We give a Wong-Zakai type characterisation of the solutions of quasilinear
    heat equations driven by space-time white noise in 1 + 1 dimensions. In order
    to show that the renormalisation counterterms are local in the solution, a careful
    arrangement of a few hundred terms is required. The main tool in this computation
    is a general ‘integration by parts’ formula that provides a number of linear identities
    for the renormalisation constants.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Mate
  full_name: Gerencser, Mate
  id: 44ECEDF2-F248-11E8-B48F-1D18A9856A87
  last_name: Gerencser
citation:
  ama: Gerencser M. Nondivergence form quasilinear heat equations driven by space-time
    white noise. <i>Annales de l’Institut Henri Poincaré C, Analyse non linéaire</i>.
    2020;37(3):663-682. doi:<a href="https://doi.org/10.1016/j.anihpc.2020.01.003">10.1016/j.anihpc.2020.01.003</a>
  apa: Gerencser, M. (2020). Nondivergence form quasilinear heat equations driven
    by space-time white noise. <i>Annales de l’Institut Henri Poincaré C, Analyse
    Non Linéaire</i>. Elsevier. <a href="https://doi.org/10.1016/j.anihpc.2020.01.003">https://doi.org/10.1016/j.anihpc.2020.01.003</a>
  chicago: Gerencser, Mate. “Nondivergence Form Quasilinear Heat Equations Driven
    by Space-Time White Noise.” <i>Annales de l’Institut Henri Poincaré C, Analyse
    Non Linéaire</i>. Elsevier, 2020. <a href="https://doi.org/10.1016/j.anihpc.2020.01.003">https://doi.org/10.1016/j.anihpc.2020.01.003</a>.
  ieee: M. Gerencser, “Nondivergence form quasilinear heat equations driven by space-time
    white noise,” <i>Annales de l’Institut Henri Poincaré C, Analyse non linéaire</i>,
    vol. 37, no. 3. Elsevier, pp. 663–682, 2020.
  ista: Gerencser M. 2020. Nondivergence form quasilinear heat equations driven by
    space-time white noise. Annales de l’Institut Henri Poincaré C, Analyse non linéaire.
    37(3), 663–682.
  mla: Gerencser, Mate. “Nondivergence Form Quasilinear Heat Equations Driven by Space-Time
    White Noise.” <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>,
    vol. 37, no. 3, Elsevier, 2020, pp. 663–82, doi:<a href="https://doi.org/10.1016/j.anihpc.2020.01.003">10.1016/j.anihpc.2020.01.003</a>.
  short: M. Gerencser, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire
    37 (2020) 663–682.
date_created: 2020-01-29T09:39:41Z
date_published: 2020-05-01T00:00:00Z
date_updated: 2023-08-17T14:35:46Z
day: '01'
department:
- _id: JaMa
doi: 10.1016/j.anihpc.2020.01.003
external_id:
  arxiv:
  - '1902.07635'
  isi:
  - '000531049800007'
intvolume: '        37'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1902.07635
month: '05'
oa: 1
oa_version: Preprint
page: 663-682
publication: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
publication_identifier:
  issn:
  - 0294-1449
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Nondivergence form quasilinear heat equations driven by space-time white noise
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 37
year: '2020'
...