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Blow-up behaviour for nonlinearly perturbed semilinear parabolic equations

Published online by Cambridge University Press:  14 November 2011

Stephen Bricher
Stephen Bricher
Affiliation:
Department of Mathematics, Linfield College, McMinnville. OR 97128, U.S.A.
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Extract

The blow-up behaviour of radially symmetric classical solutions to the quasilinear parabolic equation

is analysed assuming k(u) and Q(u) are small perturbations of {k, Q} ≡ {1, up},p > 1. Moreover, it is proved that the asymptotic behaviour near blowup of solutions to the semilinear equation ut = Δu + up, and in particular the final-time profile, is stable with respect to small quasilinear perturbations of the elliptic operator.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 5 , 1994 , pp. 947 - 969
Copyright
Copyright © Royal Society of Edinburgh 1994

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