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On the asymptotic stability of the solution of a nonlinear parabolic system

✍ Scribed by Iu.I. Domshlak

Publisher: Elsevier Science
Year: 1963
Tongue: English
Weight: 149 KB
Volume: 27
Category: Article
ISSN: 0021-8928
DOI: 10.1016/0021-8928(63)90110-2

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## 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 τ and derive an upper bound for τ. Moreover, we show that if the problem is modified in some way, the solution decays exponential