Existence for semilinear parabolic stochastic equations

DOI10.4171/RLM/579zbMath1213.35260MaRDI QIDQ619699

Viorel Barbu

Publication date: 26 January 2011

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

mild solutioncylindrical Wiener process

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 (9)

A variational approach to dissipative SPDEs with singular drift ⋮ Optimal control approach to nonlinear diffusion equations driven by Wiener noise ⋮ A variational approach to stochastic nonlinear parabolic problems ⋮ Refined existence and regularity results for a class of semilinear dissipative SPDEs ⋮ Singular stochastic Allen-Cahn equations with dynamic boundary conditions ⋮ A note on doubly nonlinear SPDEs with singular drift in divergence form ⋮ On the stochastic Cahn-Hilliard equation with a singular double-well potential ⋮ Well-posedness for a class of doubly nonlinear stochastic PDEs of divergence type ⋮ An Extended Variational Theory for Nonlinear Evolution Equations via Modular Spaces

Cites Work

• Kolmogorov equations for stochastic PDEs.
• Existence of strong solutions for stochastic porous media equation under general monotonicity conditions
• Stochastic Equations in Infinite Dimensions

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