Global solutions of nonlinear wave-Klein-Gordon system in one space dimension

DOI10.1016/J.NA.2019.111641zbMath1439.35319arXiv1808.06850OpenAlexW2979603990WikidataQ127151315 ScholiaQ127151315MaRDI QIDQ2288391

Yue Ma

Publication date: 17 January 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06850

zbMATH Keywords

global existencehyperboloidal foliation methodcombined foliation

Mathematics Subject Classification ID

Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (6)

Global Solutions of Wave-Klein--Gordon Systems in 2+1 Dimensional Space-Time with Strong Couplings in Divergence Form ⋮ 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 ⋮ Nonlinear stability of self-gravitating massive fields. A wave-Klein–Gordon model ⋮ Einstein-Klein-Gordon spacetimes in the harmonic near-Minkowski regime ⋮ Global solutions of nonlinear wave-Klein-Gordon system in two spatial dimensions: a prototype of strong coupling case

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• Normal forms and quadratic nonlinear Klein-Gordon equations
• Global existence for nonlinear wave equations
• Global existence and asymptotics for quasi-linear one-dimensional Klein-Gordon equations with mildly decaying Cauchy data
• The Hyperboloidal Foliation Method

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