Open Access
VOL. 41 | 2004 Invariant Measures for a Stochastic Porous Medium Equation
Chapter Author(s) Giuseppe Da Prato, Michael Röckner
Editor(s) Hiroshi Kunita, Shinzo Watanabe, Yoichiro Takahashi
Adv. Stud. Pure Math., 2004: 13-29 (2004) DOI: 10.2969/aspm/04110013

Abstract

We prove the existence of (infinitesimally) invariant measures for a stochastic version of the porous medium equation (of exponent $m = 3$) with Dirichlet Laplacian on an open set in $\mathbb{R}^d$.

Information

Published: 1 January 2004
First available in Project Euclid: 3 January 2019

zbMATH: 1102.76074
MathSciNet: MR2083701

Digital Object Identifier: 10.2969/aspm/04110013

Subjects:
Primary: 35J25 , 37L40 , 76S05

Rights: Copyright © 2004 Mathematical Society of Japan

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