Differential and Integral Equations

Quenching problem in nonhomogeneous media

Jong-Shenq Guo

Full-text: Open access

Abstract

The purpose of this paper is to study the critical value of the quenching problem for a semilinear heat equation with negative power reaction term which depends also on the spatial variable. This problem arises when we deal with nonhomogeneous media. We show that the critical value exists and is finite. Moreover, we also give some estimates of the critical value.

Article information

Source
Differential Integral Equations, Volume 10, Number 6 (1997), 1065-1074.

Dates
First available in Project Euclid: 1 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367438219

Mathematical Reviews number (MathSciNet)
MR1608029

Zentralblatt MATH identifier
0940.35113

Subjects
Primary: 35K60: Nonlinear initial value problems for linear parabolic equations
Secondary: 35B99: None of the above, but in this section 35K57: Reaction-diffusion equations

Citation

Guo, Jong-Shenq. Quenching problem in nonhomogeneous media. Differential Integral Equations 10 (1997), no. 6, 1065--1074. https://projecteuclid.org/euclid.die/1367438219


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