On SPDEs with variable coefficients in one space dimension

DOI10.1023/B:POTA.0000033334.06990.9dzbMath1059.60075MaRDI QIDQ1876616

Kyeong-Hun Kim, Nicolai V. Krylov

Publication date: 20 August 2004

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

zbMATH Keywords

stochastic partial differential equations\(L^p\)-theorySobolev spaces with weights

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (12)

On initial-boundary value problem of the stochastic heat equation in Lipschitz cylinders ⋮ Linear parabolic equations with strong boundary degeneration ⋮ A \(W^n_2\)-theory of elliptic and parabolic partial differential systems in \(C^1\) domains ⋮ Boundary behavior and interior Hölder regularity of the solution to nonlinear stochastic partial differential equation driven by space-time white noise ⋮ A \({W}^{n}_{2}\)-theory of stochastic parabolic partial differential systems on \(C ^{1}\)-domains ⋮ A Sobolev space theory for parabolic stochastic PDEs driven by Lévy processes 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 ⋮ On \(L_p\)-theory of stochastic partial differential equations of divergence form in \(C^1\) domains ⋮ A weighted Sobolev space theory for the diffusion-wave equations with time-fractional derivatives on \(C^1\) domains ⋮ Sharp regularity near an absorbing boundary for solutions to second order SPDEs in a half-line with constant coefficients ⋮ Sobolev space theory and Hölder estimates for the stochastic partial differential equations on conic and polygonal domains

This page was built for publication: On SPDEs with variable coefficients in one space dimension