Ergodicity and Local Limits for Stochastic Local and Nonlocal $p$-Laplace Equations

DOI10.1137/15M1049774zbMath1364.60082arXiv1507.04545MaRDI QIDQ3179338

Jonas M. Tölle, Benjamin Gess

Publication date: 21 December 2016

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

Full work available at URL: https://arxiv.org/abs/1507.04545

zbMATH Keywords

stochastic partial differential equationsergodicityinvariant measure\(p\)-Laplacianstochastic variational inequalitylocal limits

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear parabolic equations (35K55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) PDEs with randomness, stochastic partial differential equations (35R60) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Existence of optimal solutions to problems involving randomness (49J55) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (11)

Nonlocal averages in space and time given by medians and the mean curvature flow ⋮ Random attractors for locally monotone stochastic partial differential equations ⋮ Stability and moment estimates for the stochastic singular \(\Phi\)-Laplace equation ⋮ On Temporal Regularity of Strong Solutions to Stochastic \(p\)-Laplace Systems ⋮ Ergodicity for singular-degenerate stochastic porous media equations ⋮ An averaged space-time discretization of the stochastic \(p\)-Laplace system ⋮ Ergodicity for Stochastic Porous Media Equations with Multiplicative Noise ⋮ Well-posedness of SVI solutions to singular-degenerate stochastic porous media equations arising in self-organized criticality ⋮ Nonlinear evolution equations that are non-local in space and time ⋮ Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE ⋮ Stochastic evolution equations with singular drift and gradient noise via curvature and commutation conditions

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