Global solutions to quasilinear wave-Klein-Gordon systems in two space dimensions

In this paper we prove global existence and global behavior of solutions to quasilinear wave-Klein-Gordon systems in $ \mathbb{R}^{1+2} $ with quadratic nonlinearities satisfying the null condition. We consider small, regular, and compactly supported initial data, and prove global existence, pointwise decay estimates, and linear scattering for the solutions.

Authors

Publication Details

Journal
Discrete and Continuous Dynamical Systems
Published
2024-12-11
DOI
https://doi.org/10.3934/dcds.2024167
Citations
1
Primary Topic
Advanced Mathematical Physics Problems
Type
article
Field-Weighted Citation Impact
0.89
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article

Global solutions to quasilinear wave-Klein-Gordon systems in two space dimensions

Qian Zhang
1 citations
Discrete and Continuous Dynamical Systems
Advanced Mathematical Physics Problems
0.89
article

Global solutions to quasilinear wave-Klein-Gordon systems in two space dimensions

Qian Zhang
article en
1 citations

Abstract

In this paper we prove global existence and global behavior of solutions to quasilinear wave-Klein-Gordon systems in $ \mathbb{R}^{1+2} $ with quadratic nonlinearities satisfying the null condition. We consider small, regular, and compactly supported initial data, and prove global existence, pointwise decay estimates, and linear scattering for the solutions.

Discrete and Continuous Dynamical SystemsVol. 45(7)
Openalex Percentile: Top 25%
Advanced Mathematical Physics Problems
0.89
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Global solutions to quasilinear wave-Klein-Gordon systems in two space dimensions — Qian Zhang · Discrete and Continuous Dynamical Systems (2024) | TGRS Research Map | TGRS