Existence and Uniqueness of Nonnegative Solutions to the Stochastic Porous Media Equation
Probability
2007-05-23 v1
Abstract
One proves that the stochastic porous media equation in 3-D has a unique nonnegative solution for nonnegative initial data in if the nonlinearity is monotone and has polynomial growth.
Keywords
Cite
@article{arxiv.math/0703420,
title = {Existence and Uniqueness of Nonnegative Solutions to the Stochastic Porous Media Equation},
author = {Viorel Barbu and Giuseppe Da Prato and Michael Röckner},
journal= {arXiv preprint arXiv:math/0703420},
year = {2007}
}
Comments
25 pages