Extinction in finite time of solutions to nonlinear absorption-diffusion equations
type: Item
instance of: scholarly article
title: Extinction in finite time of solutions to nonlinear absorption-diffusion equations
zbMATH Open document ID: 0809.35047
author: Alan V. Lair
author: Mark E. Oxley
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-03-29T00:00:00Z
review text: The authors obtain necessary and sufficient conditions for the extinction in a finite time of solutions to nonlinear absorption-diffusion equations of the type \[ u_ t= \Delta\varphi (u)- f(u) \qquad \text{in } \Omega\times (0,\infty), \] where \(\Omega\) is a domain (bounded or unbounded) in \(\mathbb{R}^ N\). They improve several previous results in the literature.
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 584094
zbMATH Keywords: extinction in a finite time
zbMATH Keywords: nonlinear absorption-diffusion equations
reviewed by: Jesus Idelfonso Díaz
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1125
OpenAlex ID: W2006008129
DOI: 10.1006/JMAA.1994.1125
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description: scientific article; zbMATH DE number 584094