Paulo C. Carriao, Raquel Lehrer, Andre Vicente
Abstract:
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 R^N
on a global existence region and on a blow up region.
Submitted December 15, 2015. Published June 17, 2016.
Math Subject Classifications: 35L15, 35L70, 35B40, 35B44, 35A01, 35A15.
Key Words: Klein-Gordon equation; blow up of solution; asymptotically linear;
Pohozaev manifold.
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Paulo C. Carrião Universidade Federal de Minas Gerais - ICEX - Matemática CEP: 31270-901, Belo Horizonte, MG, Brazil email: pauloceca@gmail.com |
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Raquel Lehrer Universidade Estadual do Oeste do Paraná - CCET Rua Universitária, 2069, Jd. Universitário CEP: 85819-110, Cascavel, PR, Brazil email: rlehrer@gmail.com |
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André Vicente Universidade Estadual do Oeste do Paraná - CCET Rua Universitária, 2069, Jd. Universitário CEP: 85819-110, Cascavel, PR, Brazil email: andre.vicente@unioeste.br |
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