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arXiv · 1712.05315

Global solutions of non-linear wave-Klein-Gordon system in two space dimension: semi-linear interactions

Yue MA
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Abstract

In this work we consider the problem of global existence of small regular solutions to a type nonlinear wave-Klein-Gordon system with semi-linear interactions in two spatial dimension. We develop some new techniques on both wave equations and Klein-Gordon equations in order to get sufficient decay rates when energies are not uniformly bounded. These techniques are compatible with those introduced in previous work on two spatial-dimensional quasi-linear wave-Klein-Gordon systems, and can be applied in much general cases.

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Yue MA. 2017-12-14. Global solutions of non-linear wave-Klein-Gordon system in two space dimension: semi-linear interactions. https://arxiv.org/abs/1712.05315

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