Harnack Inequality for Semilinear spdes with multiplicative noise

Abstract

By a new approximate method, dimensional free Harnack inequalities are established for a class of semilinear stochastic differential equations in Hilbert space with multiplicative noise. These inequalities are applied to study the strong Feller property for the semigroup and some properties of invariant measure.

References in corpus (4)

• Harnack inequality and applications for stochastic generalized porous media equations
• Harnack Inequalities for Functional SDEs with Multiplicative Noise and Applications
• Harnack inequality for SDE with multiplicative noise and extension to Neumann semigroup on nonconvex manifolds
• Time inhomogeneous Generalized Mehler Semigroups

Cited by in corpus (2)

• Harnack Inequalities for Stochastic Equations Driven by Lévy Noise
• Log-Harnack Inequality for Mild Solutions of SPDEs with Strongly Multiplicative Noise