Singular-Degenerate Multivalued Stochastic Fast Diffusion Equations

DOI10.1137/151003726zbMath1330.60080arXiv1501.01544OpenAlexW1871997478MaRDI QIDQ3196646

Benjamin Gess, Michael Roeckner

Publication date: 30 October 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01544

zbMATH Keywords

stochastic variational inequalitiesmultivalued stochastic partial differential equationsingular-degenerate stochastic partial differential equationstochastic fast diffusion

Mathematics Subject Classification ID

Variational inequalities (49J40) Flows in porous media; filtration; seepage (76S05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stochastic analysis (60H99)

Related Items (13)

Ergodicity and Local Limits for Stochastic Local and Nonlocal $p$-Laplace Equations ⋮ Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise ⋮ Existence and uniqueness of the solution for stochastic super-fast diffusion equations with multiplicative noise ⋮ Ergodicity for singular-degenerate stochastic porous media equations ⋮ Stability of solutions to stochastic partial differential equations ⋮ Doubly nonlinear stochastic evolution equations ⋮ Refined existence and regularity results for a class of semilinear dissipative SPDEs ⋮ Well-posedness of SVI solutions to singular-degenerate stochastic porous media equations arising in self-organized criticality ⋮ Nonlinear stochastic partial differential equations with singular diffusivity and gradient Stratonovich noise ⋮ Periodic, almost periodic and almost automorphic solutions for SPDEs with monotone coefficients ⋮ Stochastic evolution equations with singular drift and gradient noise via curvature and commutation conditions ⋮ Stochastic porous media equations with divergence Itô noise ⋮ Supremum estimates for degenerate, quasilinear stochastic partial differential equations

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