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On the blow-up rate by regular variation functions. (English) Zbl 1212.35247

Summary: We develop a direct method for obtaining the blow-up rate of positive solutions of semilinear parabolic equations by using the theory of regularly varying functions. The method is applicable to the case when the blow-up set is a single point.

MSC:

35K58 Semilinear parabolic equations
35B44 Blow-up in context of PDEs
35B09 Positive solutions to PDEs
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