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On the asymptotic behaviour of the solution of a parabolic equation with small parameters in the highest derivatives

โœ Scribed by V.F. Butuzov; A.V. Nesterov


Publisher
Elsevier Science
Year
1982
Weight
351 KB
Volume
22
Category
Article
ISSN
0041-5553

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โœ G. A. Philippin; V. Proytcheva ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 103 KB ๐Ÿ‘ 1 views

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