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Some remarks on the asymptotic behaviour of the solutions of a class of parabolic problems

✍ Scribed by G. A. Philippin; V. Proytcheva

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
103 KB
Volume
29
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This paper deals with a class of semilinear parabolic problems. We establish sufficient conditions on the data forcing the solution to blow up at finite time Ο„ and derive an upper bound for Ο„. Moreover, we show that if the problem is modified in some way, the solution decays exponentially in time and depends continuously on the data. Copyright Β© 2005 John Wiley & Sons, Ltd.

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