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数学
Blow Up Behavior for a Semilinear Parabolic Equation with Localized Source
 
<正>In this paper,we investigate the blow-up behavior of solutions of a parabolic equation with localized reactions.We completely classify blow-up solutions into the total blow-up case and the single point blow-up case,and give the blow-up rates of solutions near the blow-up time which improve or extend previous results of several authors.Our proofs rely on the maximum principle,a variant of the eigenfunction method and an initial data construction method.
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Acta Mathematicae Applicatae Sinica(English Series)
2010年01期

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