Quenching problem in nonhomogeneous media
type: Item
instance of: scholarly article
title: Quenching problem in nonhomogeneous media
zbMATH Open document ID: 0940.35113
author: Jong-Shenq Guo
published in: Differential and Integral Equations
publication date: 2000-05-22T00:00:00Z
review text: The author studies critical values of \(\lambda \) for which the problem \[ u_t=\Delta u+\lambda k(x)(1-u)^{-\beta},\quad u(0,x)=u_0(x), \quad u|_{\partial \Omega}=0 \] has a global solution, generalizing similar results obtained for \(k\equiv 1\). Existence of a finite critical value \(\lambda ^\ast \) as well as some estimates of \(\lambda ^\ast \) depending on \(k\) are proved and a comparison of the corresponding minimal solutions is given.
reviewed by: Hana Petzeltová
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 1450168
zbMATH Keywords: semilinear heat equation
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1450168