We prove well-posedness for a class of second-order SPDEs with multiplicative Wiener noise and doubly nonlinear drift of the form div gð‘Þ þ bðÞ, where g is the subdi¤erential of a convex function on R d and b is a maximal monotone graph everywhere defined on R, on which neither growth nor continuity assumptions are imposed.
A note on doubly nonlinear SPDEs with singular drift in divergence form
Scarpa L.
2018-01-01
Abstract
We prove well-posedness for a class of second-order SPDEs with multiplicative Wiener noise and doubly nonlinear drift of the form div gð‘Þ þ bðÞ, where g is the subdi¤erential of a convex function on R d and b is a maximal monotone graph everywhere defined on R, on which neither growth nor continuity assumptions are imposed.File in questo prodotto:
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