01-47 Galaktionov V.A., Vazquez J.L.

The Problem of Blow-up in Nonlinear Parabolic Equations (422K, Postscript) Feb 1, 01

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Abstract. The survey paper reviews the main topics of blow-up for nonlinear parabolic equations. It then concentrates on the work of the authors on the shape of blow-up, continuation after the blow-up time, existence of peaking solutions and instantaneous blow-up. Developments for related subjects like extinction and notice about results for other equations are given.

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