{"abstract":[{"text":"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.","lang":"eng"}],"publication_identifier":{"issn":["00911798"]},"scopus_import":1,"title":"Boundary regularity of stochastic PDEs","doi":"10.1214/18-AOP1272","date_updated":"2021-01-12T08:06:47Z","day":"01","author":[{"id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","first_name":"Mate","last_name":"Gerencser","full_name":"Gerencser, Mate"}],"month":"03","_id":"6232","quality_controlled":"1","publication":"Annals of Probability","oa_version":"Preprint","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","volume":47,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1705.05364"}],"language":[{"iso":"eng"}],"date_created":"2019-04-07T21:59:15Z","type":"journal_article","publisher":"Institute of Mathematical Statistics","date_published":"2019-03-01T00:00:00Z","citation":{"chicago":"Gerencser, Mate. “Boundary Regularity of Stochastic PDEs.” Annals of Probability. Institute of Mathematical Statistics, 2019. https://doi.org/10.1214/18-AOP1272.","ama":"Gerencser M. Boundary regularity of stochastic PDEs. Annals of Probability. 2019;47(2):804-834. doi:10.1214/18-AOP1272","ista":"Gerencser M. 2019. Boundary regularity of stochastic PDEs. Annals of Probability. 47(2), 804–834.","short":"M. Gerencser, Annals of Probability 47 (2019) 804–834.","apa":"Gerencser, M. (2019). Boundary regularity of stochastic PDEs. Annals of Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/18-AOP1272","ieee":"M. Gerencser, “Boundary regularity of stochastic PDEs,” Annals of Probability, vol. 47, no. 2. Institute of Mathematical Statistics, pp. 804–834, 2019.","mla":"Gerencser, Mate. “Boundary Regularity of Stochastic PDEs.” Annals of Probability, vol. 47, no. 2, Institute of Mathematical Statistics, 2019, pp. 804–34, doi:10.1214/18-AOP1272."},"oa":1,"intvolume":" 47","external_id":{"arxiv":["1705.05364"]},"status":"public","publication_status":"published","issue":"2","department":[{"_id":"JaMa"}],"page":"804-834","year":"2019"}