{"type":"journal_article","year":"2019","author":[{"first_name":"Mate","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","last_name":"Gerencser","full_name":"Gerencser, Mate"}],"_id":"6232","title":"Boundary regularity of stochastic PDEs","department":[{"_id":"JaMa"}],"date_created":"2019-04-07T21:59:15Z","date_updated":"2023-08-25T08:59:11Z","page":"804-834","month":"03","volume":47,"intvolume":"        47","isi":1,"oa_version":"Preprint","oa":1,"publication_status":"published","day":"01","status":"public","date_published":"2019-03-01T00:00:00Z","publication_identifier":{"issn":["00911798"]},"main_file_link":[{"url":"https://arxiv.org/abs/1705.05364","open_access":"1"}],"quality_controlled":"1","external_id":{"isi":["000459681900005"],"arxiv":["1705.05364"]},"publication":"Annals of Probability","publisher":"Institute of Mathematical Statistics","abstract":[{"lang":"eng","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."}],"article_processing_charge":"No","language":[{"iso":"eng"}],"issue":"2","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","doi":"10.1214/18-AOP1272","scopus_import":"1","citation":{"ista":"Gerencser M. 2019. Boundary regularity of stochastic PDEs. Annals of Probability. 47(2), 804–834.","mla":"Gerencser, Mate. “Boundary Regularity of Stochastic PDEs.” <i>Annals of Probability</i>, vol. 47, no. 2, Institute of Mathematical Statistics, 2019, pp. 804–34, doi:<a href=\"https://doi.org/10.1214/18-AOP1272\">10.1214/18-AOP1272</a>.","short":"M. Gerencser, Annals of Probability 47 (2019) 804–834.","apa":"Gerencser, M. (2019). Boundary regularity of stochastic PDEs. <i>Annals of Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/18-AOP1272\">https://doi.org/10.1214/18-AOP1272</a>","chicago":"Gerencser, Mate. “Boundary Regularity of Stochastic PDEs.” <i>Annals of Probability</i>. Institute of Mathematical Statistics, 2019. <a href=\"https://doi.org/10.1214/18-AOP1272\">https://doi.org/10.1214/18-AOP1272</a>.","ama":"Gerencser M. Boundary regularity of stochastic PDEs. <i>Annals of Probability</i>. 2019;47(2):804-834. doi:<a href=\"https://doi.org/10.1214/18-AOP1272\">10.1214/18-AOP1272</a>","ieee":"M. Gerencser, “Boundary regularity of stochastic PDEs,” <i>Annals of Probability</i>, vol. 47, no. 2. Institute of Mathematical Statistics, pp. 804–834, 2019."}}