Refined existence and regularity results for a class of semilinear dissipative SPDEs

DOI10.1142/S0219025720500149zbMath1451.60071arXiv1711.11091MaRDI QIDQ5132465

Carlo Marinelli, Luca Scarpa

Publication date: 12 November 2020

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.11091

zbMATH Keywords

invariant measuresvariational approachstochastic evolution equationsmonotonicity methodssingular drift

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Ergodicity, mixing, rates of mixing (37A25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Applications of functional analysis in probability theory and statistics (46N30)

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Absolute continuity of solutions to reaction-diffusion equations with multiplicative noise ⋮ Rate-independent stochastic evolution equations: parametrized solutions ⋮ Doubly nonlinear stochastic evolution equations. II. ⋮ A note on doubly nonlinear SPDEs with singular drift in divergence form ⋮ Analysis and optimal velocity control of a stochastic convective Cahn-Hilliard equation ⋮ An Extended Variational Theory for Nonlinear Evolution Equations via Modular Spaces ⋮ The stochastic viscous Cahn-Hilliard equation: well-posedness, regularity and vanishing viscosity limit ⋮ Well-posedness of monotone semilinear SPDEs with semimartingale noise ⋮ Optimal control of stochastic phase-field models related to tumor growth

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