Global solutions of quasilinear wave-Klein–Gordon system in two-space dimension: Completion of the proof

DOI10.1142/S0219891617500217zbMath1386.35277OpenAlexW2775554992MaRDI QIDQ4595807

Yue Ma

Publication date: 6 December 2017

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

Full work available at URL: https://doi.org/10.1142/s0219891617500217

zbMATH Keywords

normal formglobal existencewave-Klein-Gordon system

Mathematics Subject Classification ID

Second-order quasilinear hyperbolic equations (35L72)

Related Items (8)

Global existence for systems of nonlinear wave and Klein-Gordon equations in two space dimensions under a kind of the weak null condition ⋮ Modified wave operators for the Wave-Klein-Gordon system ⋮ Global Existence of Small Amplitude Solutions for a Model Quadratic Quasilinear Coupled Wave-Klein-Gordon System in Two Space Dimension, with Mildly Decaying Cauchy Data ⋮ Global solutions of quasilinear wave-Klein–Gordon system in two-space dimension: Technical tools ⋮ Asymptotic behavior of 2D wave-Klein-Gordon coupled system under null condition ⋮ Global solution to the wave and Klein-Gordon system under null condition in dimension two ⋮ Global solutions of nonlinear wave-Klein-Gordon system in two spatial dimensions: a prototype of strong coupling case ⋮ Asymptotic behavior of the solution to the Klein-Gordon-Zakharov model in dimension two

Cites Work

• The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model
• Lectures on nonlinear hyperbolic differential equations
• Normal forms and quadratic nonlinear Klein-Gordon equations
• Global solutions of quasilinear wave-Klein–Gordon system in two-space dimension: Technical tools
• The Hyperboloidal Foliation Method

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