Global Existence for a System of Quasi-Linear Wave Equations in 3D Satisfying the Weak Null Condition

DOI10.1093/IMRN/RNY024zbMath1479.35572arXiv1706.00216OpenAlexW3100424736MaRDI QIDQ5015549

Kunio Hidano, Kazuyoshi Yokoyama

Publication date: 9 December 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00216

zbMATH Keywords

small solutionsquadratic nonlinear terms

Mathematics Subject Classification ID

Second-order quasilinear hyperbolic equations (35L72) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (9)

Energy decay for small solutions to semilinear wave equations with weakly dissipative structure ⋮ Global existence for systems of nonlinear wave and Klein-Gordon equations in two space dimensions under a kind of the weak null condition ⋮ Global nonlinear stability of large dispersive solutions to the Einstein equations ⋮ Global existence and blow up for systems of nonlinear wave equations related to the weak null condition ⋮ Global existence for a system of multiple-speed wave equations violating the null condition ⋮ Global existence for null-form wave equations with data in a Sobolev space of lower regularity and weight ⋮ Global stability of solutions to two-dimension and one-dimension systems of semilinear wave equations ⋮ A Fuchsian viewpoint on the weak null condition ⋮ On a system of weakly null semilinear wave equations

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