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.
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页码：713 / 729
页数：17
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