On the well-posedness of SPDEs with singular drift in divergence form

DOI10.1007/978-3-319-74929-7_12zbMath1407.60087arXiv1701.08326OpenAlexW3122200570MaRDI QIDQ1710428

Carlo Marinelli, Luca Scarpa

Publication date: 22 January 2019

Full work available at URL: https://arxiv.org/abs/1701.08326

zbMATH Keywords

monotone operatorsmultiplicative noisestochastic evolution equationsdivergence formsingular drift

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) 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 ⋮ Stability and moment estimates for the stochastic singular \(\Phi\)-Laplace equation ⋮ Fréchet differentiability of mild solutions to SPDEs with respect to the initial datum ⋮ 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 ⋮ Ergodicity and Kolmogorov equations for dissipative SPDEs with singular drift: a variational approach ⋮ The stochastic viscous Cahn-Hilliard equation: well-posedness, regularity and vanishing viscosity limit

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