QUENCHING PROFILES FOR ONE-DIMENSIONAL SEMILINEAR HEAT-EQUATIONS

被引：33

作者：

FILIPPAS, S ^{[1
]}

GUO, JS ^{[1
]}

机构：

[1] NATL TSING HUA UNIV,INST APPL MATH,HSINCHU 30043,TAIWAN

来源：

QUARTERLY OF APPLIED MATHEMATICS | 1993年 / 51卷 / 04期

关键词：

D O I：

10.1090/qam/1247436

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are interested in the local behavior, near a quenching point, of a solution of a semilinear heat equation with singular powerlike absorption. Using the method of Herrero and Velazquez, we obtain a precise description of the spatial profile of the solution in a neighborhood of a quenching point at the quenching time, under certain assumptions on the initial data.

引用

页码：713 / 729

页数：17

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