Global solutions of nonlinear wave equations with large energy

preprint2013arXivOpen access

Abstract

In this paper, we give a criterion on the Cauchy data for the semilinear wave equations satisfying the null condition in R+×R3\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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