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Critical behaviour of nonlinear elliptic boundary value problems suggested by exothermic reactions

Published online by Cambridge University Press:  14 November 2011

Henning Wiebers
Henning Wiebers
Affiliation:
Institut für Angewandte Mathematik, Universität Hamburg, 2000 Hamburg 13, West Germany
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Synopsis

We consider a class of semilinear elliptic boundary value problems depending on a parameter, which arise in the theory of combustion. Based on the results in another paper by the same author, a rigorous quantitative connection is shown between the solution set of the boundary value problem and that of a simple scalar equation (the Semenov approximation).

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 102 , Issue 1-2 , 1986 , pp. 19 - 36
Copyright
Copyright © Royal Society of Edinburgh 1986

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