论文期刊

Global solutions of quasilinear wave-Klein-Gordon system in two space dimension: technical tools




作者: Y. Ma
发表/完成日期: 2017-06-30
期刊名称: J. Hyperbol. Differ. Eq.
期卷: 14 (4)
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论文简介
In this paper and its successor, we make an application of the hyperboloidal foliation method in 2 + 1 space-time dimension. After the establishment of some technical tools in this paper, we will prove further the global existence of small regular solution to a class of hyperbolic system composed by a wave equation and a Klein–Gordon equation with null couplings. Our method belongs to vector field method and, more precisely, is a combination of the normal form and the hyperboloidal foliation method.