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arXiv · 1602.01820

Multispeed Klein-Gordon systems in dimension three

Yu Deng
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Abstract

We consider long time evolution of small solutions to general multispeed Klein-Gordon systems in 3+1 dimensions. We prove that such solutions are always global and scatter to a linear flow, thus extending previous partial results. The main new ingredients of our method is an improved linear dispersion estimate exploiting the asymptotic spherical symmetry of Klein-Gordon waves, and a corresponding bilinear oscillatory integral estimate.

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Yu Deng. 2016-02-04. Multispeed Klein-Gordon systems in dimension three. https://arxiv.org/abs/1602.01820

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