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.

引用

页数：15

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