Stability of a coupled wave-Klein-Gordon system with quadratic nonlinearities

DOI10.1016/J.JDE.2020.05.019zbMath1471.35032arXiv1811.10022OpenAlexW3033806041MaRDI QIDQ2189814

Shijie Dong, Zoe Wyatt

Publication date: 16 June 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.10022

zbMATH Keywords

hyperboloidal foliation methodKlein-Gordon-Zakharov equationsglobal existence for small initial datahyperboloidal energy estimates

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (11)

Global existence for systems of nonlinear wave and Klein-Gordon equations in two space dimensions under a kind of the weak null condition ⋮ Global Solutions of Wave-Klein--Gordon Systems in 2+1 Dimensional Space-Time with Strong Couplings in Divergence Form ⋮ Global solution to the 3D Dirac-Klein-Gordon system with uniform energy bounds ⋮ Modified wave operators for the Wave-Klein-Gordon system ⋮ The zero mass problem for Klein–Gordon equations ⋮ On the global well-posedness and scattering of the 3D Klein-Gordon-Zakharov system ⋮ Stability of a coupled wave-Klein-Gordon system with non-compactly supported initial data ⋮ Global solution to the wave and Klein-Gordon system under null condition in dimension two ⋮ Asymptotic behavior of the solution to the Klein-Gordon-Zakharov model in dimension two ⋮ The zero mass problem for Klein-Gordon equations: quadratic null interactions ⋮ Global Solution to the Klein--Gordon--Zakharov Equations with Uniform Energy Bounds

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