Harnack inequality and applications for stochastic generalized porous media equations

From MaRDI portal
Publication:2373568

DOI10.1214/009117906000001204zbMath1129.60060arXiv0708.1671OpenAlexW1975913290MaRDI QIDQ2373568

Feng-Yu Wang

Publication date: 12 July 2007

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.1671




Related Items (59)

Distribution-dependent stochastic porous media equationsLarge deviation principle of occupation measures for non-linear monotone SPDEsEstimates for invariant probability measures of degenerate SPDEs with singular and path-dependent driftsErgodicity and Local Limits for Stochastic Local and Nonlocal $p$-Laplace EquationsSingular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroupsLog-Harnack inequality for reflected SPDEs driven by multiplicative noises and its applicationsHarnack inequality and derivative formula for stochastic heat equation with fractional noiseHarnack inequality and derivative formula for SDE driven by fractional Brownian motionSPDE in Hilbert space with locally monotone coefficientsIrreducibility and strong Feller property for non-linear SPDEsHarnack inequalities and heat kernel estimates for SDEs with singular driftsStochastic integral evolution equations with locally monotone and non-Lipschitz coefficientsErgodicity of stochastic Cahn-Hilliard equations with logarithmic potentials driven by degenerate or nondegenerate noisesA modified log-Harnack inequality and asymptotically strong Feller propertyNonlinear Fokker-Planck equations for probability measures on path space and path-distribution dependent sdesLarge Deviations for Stochastic Generalized Porous Media Equations Driven by Lévy NoiseErgodicity for singular-degenerate stochastic porous media equationsHarnack inequality and applications for stochastic evolution equations with monotone driftsDegenerate Fokker-Planck equations: Bismut formula, gradient estimate and Harnack inequalityDimension-independent Harnack inequalities for subordinated semigroupsErgodicity of transition semigroups for stochastic fast diffusion equationsHarnack inequality on configuration spaces: the coupling approach and a unified treatmentHarnack inequality for semilinear SPDE with multiplicative noiseLog-Harnack inequality for stochastic Burgers equations and applicationsExistence and uniqueness of solutions to nonlinear evolution equations with locally monotone operatorsErgodicity for Stochastic Porous Media Equations with Multiplicative NoiseExponential stability of stochastic generalized porous media equations with jumpHarnack inequalities for SDEs driven by subordinate Brownian motionsHarnack inequalities and applications for Ornstein-Uhlenbeck semigroups with jumpHarnack and super poincaré inequalities for generalized Cox-Ingersoll-Ross modelHypercontractivity for space-time white noise driven SPDEs with reflectionHypercontractivity for functional stochastic differential equationsAsymptotic log-Harnack inequality and ergodicity for 3D Leray-\(\alpha\) model with degenerate type noiseDERIVATIVE FORMULA AND APPLICATIONS FOR HYPERDISSIPATIVE STOCHASTIC NAVIER–STOKES/BURGERS EQUATIONSLOG-HARNACK INEQUALITY FOR STOCHASTIC DIFFERENTIAL EQUATIONS IN HILBERT SPACES AND ITS CONSEQUENCESINVARIANCE OF SUBSPACES UNDER THE SOLUTION FLOW OF SPDEDERIVATIVE FORMULA AND HARNACK INEQUALITY FOR DEGENERATE FUNCTIONAL SDEsHARNACK INEQUALITIES AND APPLICATIONS FOR MULTIVALUED STOCHASTIC EVOLUTION EQUATIONSWell-posedness and regularity for distribution dependent SPDEs with singular driftsDerivative Formula and Harnack Inequality for SDEs Driven by Lévy ProcessesHarnack inequality and strong Feller property for stochastic fast-diffusion equationsAsymptotic log-Harnack inequality and applications for SPDE with degenerate multiplicative noiseAsymptotic log-Harnack inequality and applications for stochastic systems of infinite memoryHarnack inequalities for Ornstein-Uhlenbeck processes driven by Lévy processesAsymptotic couplings by reflection and applications for nonlinear monotone SPDEsWhite noise driven SPDEs with reflection: Strong Feller properties and Harnack inequalitiesAsymptotic log-Harnack inequality and applications for stochastic 2D hydrodynamical-type systems with degenerate noiseHarnack inequality for SDE with multiplicative noise and extension to Neumann semigroup on nonconvex manifoldsOn a random scaled porous media equationHarnack inequalities for functional SDEs with multiplicative noise and applicationsLarge deviations for stochastic evolution equations with small multiplicative noiseWang's Harnack inequalities for space-time white noises driven SPDEs with two reflecting walls and their applicationsThe Global Random Attractor for a Class of Stochastic Porous Media EquationsStochastic generalized porous media equations driven by Lévy noise with increasing Lipschitz nonlinearitiesOn the stochastic \(p\)-Laplace equationQuasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groupsFreidlin-Wentzell's large deviation principle for stochastic integral evolution equationsAsymptotic log-Harnack inequality for stochastic fractional MHD equations with degenerate noiseExponential convergence of non-linear monotone SPDEs



Cites Work


This page was built for publication: Harnack inequality and applications for stochastic generalized porous media equations