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Blow-up, global existence and exponential decay estimates for a class of quasilinear parabolic problems

โœ Scribed by C. Enache

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
299 KB
Volume
69
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

This paper deals with a class of nonlinear parabolic problems in divergence form whose solutions, without appropriate data restrictions, might blow up at some finite time. The purpose of this paper is to establish conditions on the data sufficient to guarantee blow-up of solution at some finite time ฯ„ , conditions to ensure that the solution remains bounded as well as conditions to derive some explicit exponential decay bounds for the solution and its derivatives.

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