EXISTENCE AND NONEXISTENCE OF SOLUTIONS OF ASYMPTOTICALLY LINEAR KLEIN-GORDON EQUATION

被引：0
|
作者：
Carriao, Paulo C. [1 ]
Lehrer, Raquel [2 ]
Vicente, Andre [2 ]
机构：
[1] Univ Fed Minas Gerais, ICEX, Math, BR-31270901 Belo Horizonte, MG, Brazil
[2] Univ Estadual Oeste Do Parana, CCET, Rua Univ 2069,Jd Univ, BR-85819110 Cascavel, PR, Brazil
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年
关键词：
Klein-Gordon equation; blow up of solution; asymptotically linear; Pohozaev manifold; WAVE-EQUATION; STANDING WAVES; BLOW-UP; INSTABILITY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we study a nonlinear Klein-Gordon equation when the nonlinear term asymptotically linear at infinity. We used the Pohozaev manifold to separate a subspace of H-1(R-N) on a global existence region and on a blow up region.
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页数：15
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