Convergence of invariant measures for singular stochastic diffusion equations

DOI10.1016/j.spa.2011.11.011zbMath1252.60059arXiv1201.2839OpenAlexW2041366450MaRDI QIDQ424516

Ioana Ciotir, Jonas M. Tölle

Publication date: 1 June 2012

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2839

zbMATH Keywords

\(p\)-Laplace equationsingular stochastic equationstochastic fast diffusion equation

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Singular parabolic equations (35K67) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)

Related Items

Ergodicity and Local Limits for Stochastic Local and Nonlocal $p$-Laplace Equations, Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise, Limit theorems of invariant measures for multivalued McKean-Vlasov stochastic differential equations, Stability of solutions to stochastic partial differential equations, Multi-valued, singular stochastic evolution inclusions, Stochastic evolution equations with singular drift and gradient noise via curvature and commutation conditions, Stochastic porous media equations with divergence Itô noise

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and uniqueness of invariant measures for stochastic evolution equations with weakly dissipative drifts
• A Trotter-type theorem for nonlinear stochastic equations in variational formulation and homogenization.
• Convergence of solutions for the stochastic porous media equations and homogenization
• Degenerate parabolic equations
• Stochastic porous media equations and self-organized criticality
• A Trotter type result for the stochastic porous media equations
• An alternative derivation of the eigenvalue equation for the 1-Laplace operator
• Invariant measures and the Kolmogorov equation for the stochastic fast diffusion equation
• On ergodicity of some Markov processes
• On the stochastic \(p\)-Laplace equation
• Stability of the separable solution for fast diffusion
• Best constant in Sobolev inequality
• The Cauchy problem for linear growth functionals
• Local solvability of a constrained gradient system of total variation
• Analysis and control of nonlinear infinite dimensional systems
• A concise course on stochastic partial differential equations
• Ergodicity for nonlinear stochastic equations in variational formulation
• Ergodicity of Stochastic Curve Shortening Flow in the Plane
• DIRICHLET PROBLEMS FOR THE 1-LAPLACE OPERATOR, INCLUDING THE EIGENVALUE PROBLEM
• Stochastic Nonlinear Diffusion Equations with Singular Diffusivity
• Existence for a class of stochastic parabolic variational inequalities
• On some stochastic parabolic variational inequalities
• Lp approximation of variational problems in L1 and L∞
• Stochastic variational inequalities in infinite dimensional spaces
• Variational Analysis
• Ergodicity for Infinite Dimensional Systems
• Deterministic and Stochastic Differential Equations in Hilbert Spaces Involving Multivalued Maximal Monotone Operators
• The Neumann Problem on Unbounded Domains of ℝ^dand Stochastic Variational Inequalities
• The Dirichlet problem for the total variation flow