On a random scaled porous media equation

被引：29

作者：

Barbu, Viorel ^{[3
,4
]}

Roeckner, Michael ^{[1
,2
]}

机构：

[1] Univ Bielefeld, Dept Math, Bielefeld, Germany

[2] Univ Bielefeld, BiBoS, Bielefeld, Germany

[3] Alexandru Ioan Cuza Univ, Dept Math, Iasi, Romania

[4] Octav Mayer Inst Math, Iasi, Romania

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 251卷 / 09期

关键词：

Stochastic porous media equation; Wiener process; Stochastic basis; Dirichlet problem; Sobolev embedding theorem; EXISTENCE; UNIQUENESS;

D O I：

10.1016/j.jde.2011.07.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that a random scaled porous media equation arising from a stochastic porous media equation with linear multiplicative noise through a random transformation is well-posed in L-infinity. In the fast diffusion case we show existence in L-p. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2494 / 2514

页数：21

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