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- W2134604477 abstract "This paper addresses the existence and uniqueness of strong solutions to stochastic porous media equations dX−ΔΨ(X) dt=B(X) dW(t) in bounded domains of ℝd with Dirichlet boundary conditions. Here Ψ is a maximal monotone graph in ℝ×ℝ (possibly multivalued) with the domain and range all of ℝ. Compared with the existing literature on stochastic porous media equations, no growth condition on Ψ is assumed and the diffusion coefficient Ψ might be multivalued and discontinuous. The latter case is encountered in stochastic models for self-organized criticality or phase transition." @default.
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- W2134604477 date "2009-03-01" @default.
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- W2134604477 title "Existence of strong solutions for stochastic porous media equation under general monotonicity conditions" @default.
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- W2134604477 doi "https://doi.org/10.1214/08-aop408" @default.
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