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Comparison and stability of solutions to a class of quasilinear parabolic problems

Published online by Cambridge University Press:  14 November 2011

Michel Chipot  and
José-Francisco Rodrigues
Michel Chipot
Affiliation:
Départment Mathématiques, Université de Metz, He du Saulcy, 57045 Metz Cédex, France
José-Francisco Rodrigues
Affiliation:
CMAF and University of Lisbon, Av. Prof. Gama Pinto, 2, 1699 Lisboa Codex, Portugal
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Synopsis

This paper presents new comparison and uniqueness results for the solutions of parabolic quasilinear boundary value problems with (and without) obstacles. A stability result in L1(Ω) yields the asymptotic stabilisation in this space, when t → ∞) towards the corresponding elliptic problem.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 110 , Issue 3-4 , 1988 , pp. 275 - 285
Copyright
Copyright © Royal Society of Edinburgh 1988

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