A note on doubly nonlinear SPDEs with singular drift in divergence form

Abstract

We prove well-posedness for a class of second-order SPDEs with multiplicative Wiener noise and doubly nonlinear drift in divergence form involving maximal monotone graphs defined everywhere, on which neither growth nor continuity assumptions are imposed.

13 pages

References in corpus (2)

• A variational approach to dissipative SPDEs with singular drift
• Well-posedness for a class of doubly nonlinear stochastic PDEs of divergence type

Cited by in corpus (6)

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• The stochastic viscous Cahn-Hilliard equation: well-posedness, regularity and vanishing viscosity limit
• Doubly nonlinear stochastic evolution equations
• Refined existence and regularity results for a class of semilinear dissipative SPDEs
• An extended variational theory for nonlinear evolution equations via modular spaces