Existence of Strong Solutions for Stochastic Porous Media Equation under General Monotonicity Conditions
Probability
2007-05-23 v1
Abstract
One proves existence and uniqueness of strong solutions to stochastic porous media equations under minimal monotonicity conditions on the nonlinearity. In particular, we do not assume continuity of the drift or any growth condition at infinity.
Keywords
Cite
@article{arxiv.math/0703421,
title = {Existence of Strong Solutions for Stochastic Porous Media Equation under General Monotonicity Conditions},
author = {Viorel Barbu and Giuseppe Da Prato and Michael Röckner},
journal= {arXiv preprint arXiv:math/0703421},
year = {2007}
}
Comments
31 pages