Regularities for semilinear stochastic partial differential equations

DOI10.1016/j.jfa.2007.03.018zbMath1123.60050OpenAlexW1972342108MaRDI QIDQ996254

Xicheng Zhang

Publication date: 13 September 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.03.018

zbMATH Keywords

regularitystochastic partial differential equationnonlinear interpolation

Mathematics Subject Classification ID

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

Related Items (14)

An \(L_p\)-maximal regularity estimate of moments of solutions to second-order stochastic partial differential equations ⋮ Renormalized entropy solutions of stochastic scalar conservation laws with boundary condition ⋮ Heterogeneous stochastic scalar conservation laws with non-homogeneous Dirichlet boundary conditions ⋮ Stochastic Volterra equations in Banach spaces and stochastic partial differential equation ⋮ Strong solutions of semilinear stochastic partial differential equations ⋮ Smooth solutions of non-linear stochastic partial differential equations driven by multiplicative noises ⋮ Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise ⋮ Well-posedness and optimal regularity of stochastic evolution equations with multiplicative noises ⋮ Strong solutions for stochastic partial differential equations of gradient type ⋮ Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise ⋮ ON STOCHASTIC EVOLUTION EQUATIONS WITH NON-LIPSCHITZ COEFFICIENTS ⋮ Strong rates of convergence for a space-time discretization of the backward stochastic heat equation, and of a linear-quadratic control problem for the stochastic heat equation ⋮ A Regularity Result for Quasilinear Stochastic Partial Differential Equations of Parabolic Type ⋮ \(L^p\)-strong solutions of stochastic partial differential equations with monotonic drifts

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