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arXiv · 2011.06743

Non-decay of the energy for a system of semilinear wave equations

Yoshinori Nishii
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Abstract

We consider the global Cauchy problem for a two-component system of cubic semilinear wave equations in two space dimensions. We give a criterion for large time non-decay of the energy for small amplitude solutions in terms of the radiation fields associated with the initial data.

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Yoshinori Nishii. 2020-11-13. Non-decay of the energy for a system of semilinear wave equations. https://doi.org/10.1215/21562261-10428437

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