[{"volume":47,"date_updated":"2025-07-10T11:53:17Z","month":"03","status":"public","page":"804-834","arxiv":1,"language":[{"iso":"eng"}],"scopus_import":"1","oa_version":"Preprint","publication":"Annals of Probability","year":"2019","publication_identifier":{"issn":["0091-1798"]},"day":"01","title":"Boundary regularity of stochastic PDEs","isi":1,"date_created":"2019-04-07T21:59:15Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"2","author":[{"first_name":"Mate","last_name":"Gerencser","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","full_name":"Gerencser, Mate"}],"department":[{"_id":"JaMa"}],"intvolume":"        47","external_id":{"arxiv":["1705.05364"],"isi":["000459681900005"]},"publisher":"Institute of Mathematical Statistics","oa":1,"doi":"10.1214/18-AOP1272","quality_controlled":"1","publication_status":"published","type":"journal_article","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1705.05364"}],"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."}],"_id":"6232","date_published":"2019-03-01T00:00:00Z","article_processing_charge":"No","citation":{"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.","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>.","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>","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.","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>.","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>"}}]