An \(L_{p}\)-theory of stochastic PDEs of divergence form on Lipschitz domains

DOI10.1007/s10959-008-0170-xzbMath1160.60021OpenAlexW2110693695MaRDI QIDQ1014057

Kyeong-Hun Kim

Publication date: 24 April 2009

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

Full work available at URL: https://doi.org/10.1007/s10959-008-0170-x

zbMATH Keywords

weighted Sobolev spacesstochastic partial differential equationsdivergence formLipshitz domains

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (3)

An \(L_p\)-theory of SPDEs on Lipschitz domains ⋮ Erratum to: ``An \(L_{p}\)-theory of stochastic PDEs of divergence form on Lipschitz domains ⋮ The obstacle problem for quasilinear stochastic PDEs with non-homogeneous operator

Cites Work

• On \(L_p\)-theory of stochastic partial differential equations of divergence form in \(C^1\) domains
• Linear stochastic parabolic equations, degenerating on the boundary of a domain
• Weighted sobolev spaces and laplace's equation and the heat equations in a half space
• On The Sobolev Space Theory of Parabolic and Elliptic Equations inC¹Domains
• A Sobolev Space Theory of SPDEs with Constant Coefficients in a Half Space
• OnL_p-Theory of stochastic partialdifferential equations of divergence form with continuous coefficients
• Sobolev spaces with weights in domains and boundary value problems for degenerate elliptic equations
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