BLOWUP FOR A TIME-OSCILLATING NONLINEAR HEAT EQUATION

被引:0
|
作者
Cazenave, Th. [1 ,2 ]
Escobedo, M. [3 ,4 ]
Zuazua, E. [4 ,5 ]
机构
[1] Univ Paris 06, BC 187,4 Pl Jussieu, F-75252 Paris 05, France
[2] CNRS, Lab Jacques Louis Lions, F-75252 Paris 05, France
[3] Univ Basque Country, Dept Matemat, Bilbao 48080, Spain
[4] BCAM, Bilbao 48009, Basque Country, Spain
[5] Basque Fdn Sci, Ikerbasque, Bilbao 48011, Basque Country, Spain
来源
关键词
semilinear heat equation; time-oscillating nonlinearity; finite-time blowup;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study a nonlinear heat equation with a periodic time oscillating term in factor of the nonlinearity. In particular, we give examples showing how the behavior of the solution can drastically change according to both the frequency of the oscillating factor and the size of the initial value.
引用
收藏
页码:125 / 146
页数:22
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