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DEAD-CORE RATES FOR THE HEAT EQUATION WITH ASPATIALLY DEPENDENT STRONG ABSORPTION

By Chin-Chin Wu and Zhengce Zhang

Abstract

This work is to study the dead-core behavior for a semilinear heat equation with a spatially dependent strong absorption term. We first give a criterion on the initial data such that the dead-core occurs. Then we prove the temporal dead-core rate is non-self-similar. This is based on the standard limiting process with the uniqueness of the self-similar solutions in a certain class

Topics: Dead-core, heat equation, strong absorption
Year: 2014
DOI identifier: 10.3934/dcdsb.2013.18.2203
OAI identifier: oai:ir.lib.nchu.edu.tw:11455/85056
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