Global smooth solutions of the 4-D quasilinear Klein-Gordon equations on the product space \(\mathbb{R}^3 \times \mathbb{T}\)
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Publication:2686117
DOI10.1016/j.jde.2022.12.031OpenAlexW4315476862MaRDI QIDQ2686117
Publication date: 24 February 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.12.031
global solutionenergy estimateLittlewood-Paley decompositionspace-time resonancequasilinear Klein-Gordon equationZ-norm
Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial value problems for second-order hyperbolic equations (35L15) Second-order quasilinear hyperbolic equations (35L72)
Related Items
The partial null conditions and global smooth solutions of the nonlinear wave equations on \(\mathbb{R}^d \times \mathbb{T}\) with \(d = 2, 3\) ⋮ On global smooth small data solutions of 3-D quasilinear Klein-Gordon equations on \(\mathbb{R}^2\times \mathbb{T} \) ⋮ Global classical solutions of semilinear wave equations on \(\mathbb{R}^3\times\mathbb{T}\) with cubic nonlinearities
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