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arXiv · 1807.02403

Global existence for the 3-D semilinear damped wave equations in the scattering case

Yige Bai·Mengyun Liu
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Abstract

We study the global existence of solutions to semilinear damped wave equations in the scattering case with derivative power-type nonlinearity on (1+3) dimensional nontrapping asymptotically Euclidean manifolds. The main idea is to exploit local energy estimate, together with local existence to convert the parameter $\mu$ to small one.

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Yige Bai, Mengyun Liu. 2018-07-06. Global existence for the 3-D semilinear damped wave equations in the scattering case. https://arxiv.org/abs/1807.02403

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