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• W835128175 abstract "We study existence and uniqueness of a variational solution in terms of stochastic variational inequalities (SVI) to stochastic nonlinear diffusion equations with a highly singular diffusivity term and multiplicative Stratonovich gradient-type noise. We derive a commutator relation for the unbounded noise coefficients in terms of a geometric Killing vector condition. The drift term is given by the total variation flow, respectively, by a singular p-Laplace-type operator. We impose nonlinear zero Neumann boundary conditions and precisely investigate their connection with the coefficient fields of the noise. This solves an open problem posed in Barbu et al. (2013) [7] and Barbu and Röckner (2015) [10]." @default.
• W835128175 created "2016-06-24" @default.
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• W835128175 date "2016-10-01" @default.
• W835128175 modified "2023-10-14" @default.
• W835128175 title "Nonlinear stochastic partial differential equations with singular diffusivity and gradient Stratonovich noise" @default.
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• W835128175 doi "https://doi.org/10.1016/j.jfa.2016.05.013" @default.
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