---
res:
bibo_abstract:
- 'The boundary behaviour of solutions of stochastic PDEs with Dirichlet boundary
conditions can be surprisingly—and in a sense, arbitrarily—bad: as shown by Krylov[
SIAM J. Math. Anal.34(2003) 1167–1182], for any α>0 one can find a simple 1-dimensional
constant coefficient linear equation whose solution at the boundary is not α-Hölder
continuous.We obtain a positive counterpart of this: under some mild regularity
assumptions on the coefficients, solutions of semilinear SPDEs on C1 domains are
proved to be α-Hölder continuous up to the boundary with some α>0.@eng'
bibo_authorlist:
- foaf_Person:
foaf_givenName: Mate
foaf_name: Gerencser, Mate
foaf_surname: Gerencser
foaf_workInfoHomepage: http://www.librecat.org/personId=44ECEDF2-F248-11E8-B48F-1D18A9856A87
bibo_doi: 10.1214/18-AOP1272
bibo_issue: '2'
bibo_volume: 47
dct_date: 2019^xs_gYear
dct_isPartOf:
- http://id.crossref.org/issn/00911798
dct_language: eng
dct_publisher: Institute of Mathematical Statistics@
dct_title: Boundary regularity of stochastic PDEs@
...