Standing waves of the inhomogeneous Klein-Gordon equations with critical exponent

DOI10.1007/S10114-005-0656-8zbMath1108.35119OpenAlexW2028265309MaRDI QIDQ2508549

Jian Zhang, Zai-Hui Gan

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0656-8

zbMATH Keywords

ground stateglobal existencenonlinear Klein-Gordon equationstanding wave

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Second-order nonlinear hyperbolic equations (35L70)

Related Items (5)

Profile of blow-up solution to hyperbolic system with nonlocal term ⋮ Focusing NLKG equation with singular potential ⋮ THE GREEN FUNCTION OF THE KLEIN–GORDON EQUATION IN BLACK-HOLE COORDINATES ⋮ Sharp criterion of global existence for nonlinear Schrödinger equation with a harmonic potential ⋮ Breaking symmetry in focusing nonlinear Klein-Gordon equations with potential

Cites Work

• Unnamed Item
• Unnamed Item
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• Global solution of the system of wave and Klein-Gordon equations
• Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
• Existence of solitary waves in higher dimensions
• Wave operators and analytic solutions for systems of nonlinear Klein- Gordon equations and of nonlinear Schrödinger equations
• Applied functional analysis. Main principles and their applications
• Normal form and global solutions for the Klein-Gordon-Zakharov equations
• Non-linear semi-groups
• On existence and scattering for critical and subcritical nonlinear Klein-Gordon equations in Hs
• Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.

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