Stochastic Generalized Porous Media Equations with Reflection
Probability
2013-04-04 v1
Abstract
A non-negative Markovian solution is constructed for a class of stochastic generalized porous media equations with reflection. To this end, some regularity properties and a comparison theorem are proved for stochastic generalized porous media equations, which are interesting by themselves. Invariant probability measures and ergodicity of the solution are also investigated.
Cite
@article{arxiv.1304.0818,
title = {Stochastic Generalized Porous Media Equations with Reflection},
author = {Michael Röckner and Feng-Yu Wang and Tusheng Zhang},
journal= {arXiv preprint arXiv:1304.0818},
year = {2013}
}
Comments
22 pages