On divergence form SPDEs with VMO coefficients in a half space

DOI10.1016/j.spa.2008.11.003zbMath1165.60330arXiv0806.1963OpenAlexW2064048246MaRDI QIDQ1019625

Nicolai V. Krylov

Publication date: 4 June 2009

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.1963

zbMATH Keywords

Sobolev spacesstochastic partial differential equationsdivergence equations

Mathematics Subject Classification ID

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

Related Items (5)

Elliptic and parabolic equations with measurable coefficients in weighted Sobolev spaces ⋮ Neumann problem for non-divergence elliptic and parabolic equations with \(\mathrm{BMO}_x\) coefficients in weighted Sobolev spaces ⋮ A weighted \(L_p\)-theory for divergence type parabolic PDEs with BMO coefficients on \(C^1\)-domains ⋮ Unnamed Item ⋮ Parabolic and elliptic equations with singular or degenerate coefficients: The Dirichlet problem

Cites Work

• On \(L_p\)-theory of stochastic partial differential equations of divergence form in \(C^1\) domains
• \(L_p\)-estimates for SPDE with discontinuous coefficients in domains
• Parabolic equations with VMO coefficients in Sobolev spaces with mixed norms
• On stochastic partial differential equations with variable coefficients in \(C^1\) domains
• On Divergence Form SPDEs with VMO Coefficients
• Weighted sobolev spaces and laplace's equation and the heat equations in a half space
• A Sobolev Space Theory of SPDEs with Constant Coefficients in a Half Space
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