Strong Feller Property and Irreducibility for Non-Linear Monotone SPDEs
arXiv:1407.7222
Abstract
Strong Feller property and irreducibility are study for a class of non-linear monotone stochastic partial differential equations with multiplicative noise. Hölder continuity of the associated Markov semigroups are discussed in some special cases. The main results are applied to several examples such as stochastic porous media equations, stochastic fast diffusion equations.
References in corpus (4)
- Harnack inequality and applications for stochastic generalized porous media equations
- Harnack Inequalities for Functional SDEs with Multiplicative Noise and Applications
- Local and global well-posedness of SPDE with generalized coercivity conditions
- Asymptotic Couplings by Reflection and Applications for Non-Linear Monotone SPDES