A variational approach to stochastic nonlinear parabolic problems

DOI10.1016/j.jmaa.2010.07.016zbMath1235.60074OpenAlexW1984734306MaRDI QIDQ638453

Viorel Barbu

Publication date: 12 September 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.07.016

zbMATH Keywords

Wiener processconvex functionstochastic equationporous media equation

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Semilinear parabolic equations (35K58)

Related Items (12)

Stochastic nonlinear parabolic equations with Stratonovich gradient noise ⋮ Stochastic differential equations with variable structure driven by multiplicative Gaussian noise and sliding mode dynamic ⋮ A variational approach to nonlinear stochastic differential equations with linear multiplicative noise ⋮ Optimal control approach to nonlinear diffusion equations driven by Wiener noise ⋮ A duality approach to nonlinear diffusion equations ⋮ An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise ⋮ Variational solutions to nonlinear diffusion equations with singular diffusivity ⋮ Existence for nonlinear finite dimensional stochastic differential equations of subgradient type ⋮ Variational solutions to nonlinear stochastic differential equations in Hilbert spaces ⋮ Optimal Control for Fast, Accurate Threshold-Hitting ⋮ Well-posedness of monotone semilinear SPDEs with semimartingale noise ⋮ A variational approach to Neumann stochastic semi-linear equations modeling the thermostatic control

Cites Work

• Existence for semilinear parabolic stochastic equations
• Kolmogorov equations for stochastic PDEs.
• Existence of strong solutions for stochastic porous media equation under general monotonicity conditions
• Stability of the separable solution for fast diffusion
• The two phase stochastic Stefan problem
• Stochastic generalized porous media and fast diffusion equations
• Ergodicity for Infinite Dimensional Systems
• Strong Solutions of Stochastic Generalized Porous Media Equations: Existence, Uniqueness, and Ergodicity
• Existence and uniqueness of nonnegative solutions to the stochastic porous media equation
• Nonlinear Differential Equations of Monotone Types in Banach Spaces
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