On the Blow-up for Quasilinear Parabolic Equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1993Publisher:Global Science PressJournal:Journal of Partial Differential Equations, volume 6, pages 117-120 (issn: 1000-940X, eissn: 2079-732X,

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Authors: Wang, Liwen; Chen, Qingyi;

doi: 10.4208/jpde.v6.n2.3

On the Blow-up for Quasilinear Parabolic Equations

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Abstract

Summary: This article is concerned with the position of blow-up points, blow up rate and an isoperimetric problem for the equation \(u_ t = \Delta u^ m + u^ p\) \((p>m \geq 1)\) in a convex bounded domain.

Keywords

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, isoperimetric problem, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, blow-up points, blow up rate, convex bounded domain

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