\(L_p\)-estimates for SPDE with discontinuous coefficients in domains
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Publication:1767548
DOI10.1214/EJP.v10-234zbMath1065.60079OpenAlexW1976056548MaRDI QIDQ1767548
Publication date: 8 March 2005
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/124793
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
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Local \(L_\infty\)-estimates, weak Harnack inequality, and stochastic continuity of solutions of SPDEs ⋮ Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence* ⋮ The critical variational setting for stochastic evolution equations ⋮ A weighted \(L_p\)-theory for divergence type parabolic PDEs with BMO coefficients on \(C^1\)-domains ⋮ Sobolev space theory of SPDEs with continuous or measurable leading coefficients ⋮ Stochastic maximal regularity for rough time-dependent problems ⋮ On divergence form SPDEs with VMO coefficients in a half space ⋮ On the solvability of degenerate stochastic partial differential equations in Sobolev spaces ⋮ On the boundedness of solutions of SPDEs
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