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

DOI10.1090/memo/1441arXiv1810.10235MaRDI QIDQ6078618

Annalaura Stingo

Publication date: 25 October 2023

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.10235

zbMATH Keywords

semiclassical analysisKlainerman vector fieldsquasilinear normal formsglobal solution of coupled wave-Klein-Gordon systems

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) A priori estimates in context of PDEs (35B45) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Paradifferential operators as generalizations of partial differential operators in context of PDEs (35S50) Second-order quasilinear hyperbolic equations (35L72) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (7)

The partial null conditions and global smooth solutions of the nonlinear wave equations on \(\mathbb{R}^d \times \mathbb{T}\) with \(d = 2, 3\) ⋮ Two dimensional wave-Klein-Gordon equations with a below-critical nonlinearity ⋮ Asymptotic behavior of 2D wave-Klein-Gordon coupled system under null condition ⋮ Global behavior of small data solutions for the 2D Dirac–Klein-Gordon system ⋮ 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

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