On the Cauchy-Dirichlet problem in the half space for parabolic sPDEs in weighted Hölder spaces

DOI10.1007/s10440-007-9130-1zbMath1122.60058OpenAlexW2031301979MaRDI QIDQ996774

N. Sonnadara, H. Pragarauskas, Remigijus Mikulevičius

Publication date: 19 July 2007

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-007-9130-1

zbMATH Keywords

stochastic partial differential equationsparabolic equationsinitial value problems for second order

Mathematics Subject Classification ID

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

Related Items (4)

Poincaré inequality for linear SPDE driven by Lévy noise ⋮ Regularity of solutions of abstract linear evolution equations ⋮ Ergodicity of linear SPDE driven by Lévy noise ⋮ Existence and regularity of solutions to time-fractional diffusion equations

Cites Work

• On the Cauchy problem for parabolic SPDEs in Hölder classes.
• On stochastic partial differential equations with variable coefficients in \(C^1\) domains
• 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
• Stochastic Equations in Infinite Dimensions
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