Dirichlet problem for stochasticparabolic equations in smoothdomains
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Publication:4943566
DOI10.1080/17442509908834221zbMath0944.60076OpenAlexW2073589962MaRDI QIDQ4943566
Publication date: 29 May 2000
Published in: Stochastics and Stochastic Reports (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17442509908834221
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
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On initial-boundary value problem of the stochastic heat equation in Lipschitz cylinders ⋮ A \({W}^{n}_{2}\)-theory of stochastic parabolic partial differential systems on \(C ^{1}\)-domains ⋮ A weighted Sobolev space theory of parabolic stochastic PDEs on non-smooth domains ⋮ Elliptic equations with nonzero boundary conditions in weighted Sobolev spaces ⋮ An \(L_p\)-theory of SPDEs on Lipschitz domains ⋮ \(L_p\)-theory of parabolic SPDEs degenerating on the boundary of \(C^{1}\) domains ⋮ On stochastic partial differential equations with variable coefficients in \(C^1\) domains ⋮ Some properties of traces for stochastic and deterministic parabolic weighted Sobolev spaces ⋮ On Cauchy-Dirichlet problem for parabolic quasilinear SPDEs ⋮ On the Cauchy-Dirichlet problem in the half space for parabolic sPDEs in weighted Hölder spaces ⋮ Sobolev space theory of SPDEs with continuous or measurable leading coefficients ⋮ An Elliptic Boundary Value Problem with Fractional Nonlinearity ⋮ On Cauchy-Dirichlet problem in half-space for parabolic SPDEs in weighted Hölder spaces.
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