Nonnegative weak solutions of a porous medium equation with strong absorption
type: Item
instance of: scholarly article
title: Nonnegative weak solutions of a porous medium equation with strong absorption
zbMATH Open document ID: 1014.35046
author: Chung-Ki Cho
published in: Differential and Integral Equations
publication date: 2003-01-26T00:00:00Z
review text: The author proves a sharp \(L_{\infty }\) estimate and a Harnack's type inequality for the weak solution of porous media type equation with strong absorption. As a consequence there are obtained existence results on initial traces, fundamental solution and nonexistence results of a very singular solution. Moser iteration technique is used.
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 1858729
zbMATH Keywords: sharp \(L_\infty\) estimates
zbMATH Keywords: Moser iteration technique
zbMATH Keywords: boundedness
zbMATH Keywords: Harnack's inequality
reviewed by: Jozef Kacur
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1858729