Global small amplitude solutions for two-dimensional nonlinear Klein-Gordon systems in the presence of mass resonance
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Publication:719232
DOI10.1016/j.jde.2011.04.001zbMath1239.35022arXiv1104.1354OpenAlexW2962688489MaRDI QIDQ719232
Yuichiro Kawahara, Hideaki Sunagawa
Publication date: 10 October 2011
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.1354
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with quantum mechanics (35Q40) Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)
Related Items (17)
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Cites Work
- Remarks on the asymptotic behavior of the cubic nonlinear Klein-Gordon equations in one space dimension.
- On global small amplitude solutions to systems of cubic nonlinear Klein--Gordon equations with different mass terms in one space dimension
- A note on the large time asymptotics for a system of Klein-Gordon equations
- Large time asymptotics of solutions to nonlinear Klein-Gordon systems
- Global existence of small solutions for quadratic quasilinear Klein-Gordon systems in two space dimensions
- Simple nonlinear Klein-Gordon equations in two space dimensions, with long-range scattering
- Large time behavior of solutions to the Klein-Gordon equation with nonlinear dissipative terms
- A note on the null condition for quadratic nonlinear Klein-Gordon systems in two space dimensions
- “Existence globale et comportement asymptotique pour l'équation de Klein–Gordon quasi linéaire à données petites en dimension 1” [Ann. Sci. École Norm. Sup. (4) 34 (1) (2001) 1–61]
- Stability of Constant Equilibrium for the Maxwell-Higgs Equations
- Nonlinear scattering for a system of nonlinear Klein–Gordon equations
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