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arXiv · 1312.7265

Global solutions of nonlinear wave equations with large energy

Shiwu Yang
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Abstract

In this paper, we give a criterion on the Cauchy data for the semilinear wave equations satisfying the null condition in $\mathbb{R}^+\times\mathbb{R}^{3}$ such that the energy of the data can be arbitrarily large while the solution is still globally in time in the future.

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Shiwu Yang. 2013-12-27. Global solutions of nonlinear wave equations with large energy. https://arxiv.org/abs/1312.7265

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