---
_id: '6028'
abstract:
- lang: eng
text: We give a construction allowing us to build local renormalized solutions to
general quasilinear stochastic PDEs within the theory of regularity structures,
thus greatly generalizing the recent results of [1, 5, 11]. Loosely speaking,
our construction covers quasilinear variants of all classes of equations for which
the general construction of [3, 4, 7] applies, including in particular one‐dimensional
systems with KPZ‐type nonlinearities driven by space‐time white noise. In a less
singular and more specific case, we furthermore show that the counterterms introduced
by the renormalization procedure are given by local functionals of the solution.
The main feature of our construction is that it allows exploitation of a number
of existing results developed for the semilinear case, so that the number of additional
arguments it requires is relatively small.
article_processing_charge: Yes (via OA deal)
author:
- first_name: Mate
full_name: Gerencser, Mate
id: 44ECEDF2-F248-11E8-B48F-1D18A9856A87
last_name: Gerencser
- first_name: Martin
full_name: Hairer, Martin
last_name: Hairer
citation:
ama: Gerencser M, Hairer M. A solution theory for quasilinear singular SPDEs. Communications
on Pure and Applied Mathematics. 2019;72(9):1983-2005. doi:10.1002/cpa.21816
apa: Gerencser, M., & Hairer, M. (2019). A solution theory for quasilinear singular
SPDEs. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.21816
chicago: Gerencser, Mate, and Martin Hairer. “A Solution Theory for Quasilinear
Singular SPDEs.” Communications on Pure and Applied Mathematics. Wiley,
2019. https://doi.org/10.1002/cpa.21816.
ieee: M. Gerencser and M. Hairer, “A solution theory for quasilinear singular SPDEs,”
Communications on Pure and Applied Mathematics, vol. 72, no. 9. Wiley,
pp. 1983–2005, 2019.
ista: Gerencser M, Hairer M. 2019. A solution theory for quasilinear singular SPDEs.
Communications on Pure and Applied Mathematics. 72(9), 1983–2005.
mla: Gerencser, Mate, and Martin Hairer. “A Solution Theory for Quasilinear Singular
SPDEs.” Communications on Pure and Applied Mathematics, vol. 72, no. 9,
Wiley, 2019, pp. 1983–2005, doi:10.1002/cpa.21816.
short: M. Gerencser, M. Hairer, Communications on Pure and Applied Mathematics 72
(2019) 1983–2005.
date_created: 2019-02-17T22:59:24Z
date_published: 2019-02-08T00:00:00Z
date_updated: 2023-08-24T14:44:31Z
day: '08'
ddc:
- '500'
department:
- _id: JaMa
doi: 10.1002/cpa.21816
external_id:
isi:
- '000475465000003'
file:
- access_level: open_access
checksum: 09aec427eb48c0f96a1cce9ff53f013b
content_type: application/pdf
creator: kschuh
date_created: 2020-01-07T13:25:55Z
date_updated: 2020-07-14T12:47:17Z
file_id: '7237'
file_name: 2019_Wiley_Gerencser.pdf
file_size: 381350
relation: main_file
file_date_updated: 2020-07-14T12:47:17Z
has_accepted_license: '1'
intvolume: ' 72'
isi: 1
issue: '9'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '02'
oa: 1
oa_version: Published Version
page: 1983-2005
publication: Communications on Pure and Applied Mathematics
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: A solution theory for quasilinear singular SPDEs
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: 72
year: '2019'
...