Well-posedness for nonlinear SPDEs with strongly continuous perturbation

DOI10.1017/prm.2020.13zbMath1458.60075OpenAlexW3011964118MaRDI QIDQ4965414

Vallet, Guy, Aleksandra Zimmermann

Publication date: 1 March 2021

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/prm.2020.13

zbMATH Keywords

nonlinear SPDEstrongly continuous perturbationadditive stochastic forcingpseudomonotone SPDE

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (3)

Convergence of a spectral method for the stochastic incompressible Euler equations ⋮ Convergence of a finite-volume scheme for a heat equation with a multiplicative Lipschitz noise ⋮ A convergent finite volume scheme for the stochastic barotropic compressible Euler equations

Cites Work

• Stochastic partial differential equations: an introduction
• Compact sets in the space \(L^ p(0,T;B)\)
• Martingale and stationary solutions for stochastic Navier-Stokes equations
• Existence of strong solutions for Itô's stochastic equations via approximations
• Local martingale and pathwise solutions for an abstract fluids model
• Well-posedness for a pseudomonotone evolution problem with multiplicative noise
• Stochastic Equations in Infinite Dimensions
• Nonlinear partial differential equations with applications
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