Article ID Journal Published Year Pages File Type
1708672 Applied Mathematics Letters 2012 5 Pages PDF
Abstract

Liang and Zhao showed in [Z. Liang, J. Zhao, Localization for the evolution pp-Laplacian equation with strongly nonlinear source term, J. Differential Equations 246 (2009) 391–407] that the unbounded solution of the equation ut=div(|∇u|p−2∇u)+uq,(x,t)∈RN×(0,T) is strictly localized for q≥p−1q≥p−1, provided that the initial function is compactly supported. In this work we give an upper estimate on the localization in terms of the initial support suppu0(x) and the blowing-up time T<∞T<∞.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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