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

Carlo Marinelli, Luca Scarpa
2018 Rendiconti Lincei - Matematica e Applicazioni  
We prove well-posedness for a class of second-order SPDEs with multiplicative Wiener noise and doubly nonlinear drift of the form − div γ(∇·) + β(·), where γ is the subdifferential of a convex function on R d and β is a maximal monotone graph everywhere defined on R, on which neither growth nor continuity assumptions are imposed.
doi:10.4171/rlm/825 fatcat:cc5mhwtxszck7ioha4lsjfpavi