On a random scaled porous media equation
type: Item
instance of: scholarly article
title: On a random scaled porous media equation
zbMATH Open document ID: 1238.60070
author: Viorel Barbu
author: Michael Röckner
published in: Journal of Differential Equations
publication date: 2011-10-10T00:00:00Z
review text: The authors consider a deterministic nonlinear partial differential equation with random coefficients, which is a result of a random transformation of a stochastic porous media equation. It is shown that this transformed equation is well-posed in \(L^{\infty}\), and in the fast diffusion case existence in \(L^{p}\) is proven as well.
reviewed by: Maria Gordina
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35R60
zbMATH DE Number: 5955721
zbMATH Keywords: stochastic porous media equation
zbMATH Keywords: Wiener process
zbMATH Keywords: Dirichlet problem
MaRDI profile type: Publication
full work available at URL: j.jde.2011.07.012
OpenAlex ID: W2101528443
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DOI: 10.1016/J.JDE.2011.07.012
description: scientific article; zbMATH DE number 5955721