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arXiv · 2201.02286

Asymptotic behaviour of non-radiative solution to the wave equations

Liang Li·Ruipeng Shen·Chenhui Wang·Lijuan Wei
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Abstract

In this work we consider weakly non-radiative solutions to both linear and non-linear wave equations. We first characterize all weakly non-radiative free waves, without the radial assumption. Then in dimension 3 we show that the initial data of non-radiative solutions to a wide range of nonlinear wave equations are similar to those of non-radiative free waves in term of asymptotic behaviour.

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Liang Li, Ruipeng Shen, Chenhui Wang, Lijuan Wei. 2022-01-07. Asymptotic behaviour of non-radiative solution to the wave equations. https://arxiv.org/abs/2201.02286

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