[{"external_id":{"isi":[],"arxiv":[]},"article_processing_charge":"No","author":[{"first_name":"Mate","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","last_name":"Gerencser"}],"citation":{"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.","short":"M. Gerencser, Annals of Probability 47 (2019) 804–834.","ieee":"M. Gerencser, “Boundary regularity of stochastic PDEs,” Annals of Probability, vol. 47, no. 2. Institute of Mathematical Statistics, pp. 804–834, 2019.","apa":"Gerencser, M. (2019). Boundary regularity of stochastic PDEs. Annals of Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/18-AOP1272","chicago":"Gerencser, Mate. “Boundary Regularity of Stochastic PDEs.” Annals of Probability. Institute of Mathematical Statistics, 2019. https://doi.org/10.1214/18-AOP1272.","ista":"Gerencser M. 2019. Boundary regularity of stochastic PDEs. Annals of Probability. 47(2), 804–834."},"dini_type":"doc-type:article","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa":1,"quality_controlled":"1","uri_base":"https://research-explorer.ista.ac.at","page":"804-834","date_created":"2019-04-07T21:59:15Z","date_published":"2019-03-01T00:00:00Z","isi":1,"publication":"Annals of Probability","dc":{"identifier":["https://research-explorer.ista.ac.at/record/6232"],"description":["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."],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1214/18-AOP1272","info:eu-repo/semantics/altIdentifier/issn/00911798","info:eu-repo/semantics/altIdentifier/wos/000459681900005","info:eu-repo/semantics/altIdentifier/arxiv/1705.05364"],"source":["Gerencser M. Boundary regularity of stochastic PDEs. Annals of Probability. 2019;47(2):804-834. doi:10.1214/18-AOP1272"],"publisher":["Institute of Mathematical Statistics"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"date":["2019"],"language":["eng"],"rights":["info:eu-repo/semantics/openAccess"],"creator":["Gerencser, Mate"],"title":["Boundary regularity of stochastic PDEs"]},"day":"01","type":"journal_article","status":"public","_id":"6232","department":[{"tree":[{"_id":"ResearchGroups"},{"_id":"IST"}],"_id":"JaMa"}],"date_updated":"2023-08-25T08:59:11Z","creator":{"login":"dernst","id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1705.05364"}],"scopus_import":"1","intvolume":" 47","month":"03","abstract":[{"lang":"eng"}],"oa_version":"Preprint","issue":"2","volume":47,"publication_status":"published","publication_identifier":{"issn":[]},"language":[{}]}]