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

共 50 条

[21] On the existence of hylomorphic vortices in the nonlinear Klein-Gordon equation
Bellazzini, J.
Benci, V.
Bonanno, C.
Sinibaldi, E.
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2013, 10 (01) : 1 - 24
[22] Nonexistence of global solutions of the initial-boundary value problem for the nonlinear Klein-Gordon equation
J Math Phys, 2 (756):
[23] Existence and asymptotic behavior of solutions for a Klein-Gordon system
Da Silva, Cladio O. P.
Louredo, Aldo T.
Miranda, Manuel Milla
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (07) : 3865 - 3895
[24] DERIVATION OF SOLUTIONS OF KLEIN-GORDON EQUATION FROM SOLUTIONS OF WAVE EQUATION
CHAMBERS, LG
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1966, 15 : 125 - &
[25] An elementary proof of the existence of monotone traveling waves solutions in a generalized Klein-Gordon equation
Gomez, Adrian
Morales, Nolbert
Zamora, Manuel
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (13) : 10785 - 10789
[26] Closed form root of a linear Klein-Gordon equation
Edeki, S. O.
Anake, T. A.
Ejoh, S. A.
3RD INTERNATIONAL CONFERENCE ON SCIENCE AND SUSTAINABLE DEVELOPMENT (ICSSD 2019): SCIENCE, TECHNOLOGY AND RESEARCH: KEYS TO SUSTAINABLE DEVELOPMENT, 2019, 1299
[27] A family of the spiral solutions of the nonlinear Klein-Gordon equation
Gudkov, V.V.
Mathematical Modelling and Analysis, 1998, 3 (01): : 98 - 103
[28] Exact Solutions of the Klein-Gordon Equation with Hylleraas Potential
Ikot, Akpan N.
Awoga, Oladunjoye A.
Ita, Benedict I.
FEW-BODY SYSTEMS, 2012, 53 (3-4) : 539 - 548
[29] Exact solutions of coupled nonlinear Klein-Gordon equation
Shang, Desheng
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (04) : 1577 - 1583
[30] CONCENTRATION IN SEQUENCES OF SOLUTIONS TO THE NONLINEAR KLEIN-GORDON EQUATION
ZHENG, YX
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1991, 40 (01) : 201 - 235

← 1 2 3 4 5 →