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• W3100424736 abstract "Abstract We show global existence of small solutions to the Cauchy problem for a system of quasi-linear wave equations in three space dimensions. The feature of the system lies in that it satisfies the weak null condition, though we permit the presence of some quadratic nonlinear terms which do not satisfy the null condition. Due to the presence of such quadratic terms, the standard argument no longer works for the proof of global existence. To get over this difficulty, we extend the ghost weight method of Alinhac so that it works for the system under consideration. The original theorem of Alinhac for the scalar unknowns is also refined." @default.
• W3100424736 created "2020-11-23" @default.
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• W3100424736 date "2018-02-22" @default.
• W3100424736 modified "2023-09-24" @default.
• W3100424736 title "Global Existence for a System of Quasi-Linear Wave Equations in 3D Satisfying the Weak Null Condition" @default.
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• W3100424736 doi "https://doi.org/10.1093/imrn/rny024" @default.
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