On Cauchy-Dirichlet problem for parabolic quasilinear SPDEs

DOI10.1007/s11118-005-9006-9zbMath1138.60047OpenAlexW2075563805MaRDI QIDQ2502245

Remigijus Mikulevičius, H. Pragarauskas

Publication date: 12 September 2006

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-005-9006-9

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for second-order parabolic equations (35K15)

Related Items (4)

Poincaré inequality for linear SPDE driven by Lévy noise ⋮ Stochastic Hölder continuity of random fields governed by a system of stochastic PDEs ⋮ Ergodicity of linear SPDE driven by Lévy noise ⋮ Finite-time blowup and existence of global positive solutions of a semi-linear SPDE

Cites Work

• On the Cauchy problem for parabolic SPDEs in Hölder classes.
• On Cauchy-Dirichlet problem in half-space for parabolic SPDEs in weighted Hölder spaces.
• ON THE CAUCHY PROBLEM FOR LINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
• A Sobolev Space Theory of SPDE with Constant Coefficients on a Half Line
• A Sobolev Space Theory of SPDEs with Constant Coefficients in a Half Space
• Dirichlet problem for stochasticparabolic equations in smoothdomains
• On the optimal filtering of diffusion processes
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