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Asymptotic behaviour of the solution of the problem of combustion in the case of an autocatalytic reaction

✍ Scribed by V.F. Butuzov; L.V. Kalachev

Publisher: Elsevier Science
Year: 1988
Weight: 623 KB
Volume: 28
Category: Article
ISSN: 0041-5553
DOI: 10.1016/0041-5553(88)90175-9

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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