A note on doubly nonlinear SPDEs with singular drift in divergence form
Carlo Marinelli
University College London, UKLuca Scarpa
University College London, UK
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Abstract
We prove well-posedness for a class of second-order SPDEs with multiplicative Wiener noise and doubly nonlinear drift of the form –div , where is the subdifferential of a convex function on and is a maximal monotone graph everywhere defined on , on which neither growth nor continuity assumptions are imposed.
Cite this article
Carlo Marinelli, Luca Scarpa, A note on doubly nonlinear SPDEs with singular drift in divergence form. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 29 (2018), no. 4, pp. 619–633
DOI 10.4171/RLM/825