On the \(L_q(L_p)\)-regularity and Besov smoothness of stochastic parabolic equations on bounded Lipschitz domains

DOI10.1214/EJP.v18-2478zbMath1309.60067arXiv1301.1180OpenAlexW2015230627MaRDI QIDQ388974

Kyeong-Hun Kim, Felix Lindner, Petru A. Cioica, Kijung Lee

Publication date: 17 January 2014

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.1180

zbMATH Keywords

stochastic partial differential equationsHölder regularityLipschitz domainBesov regularityweighted stochastic Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

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