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Global existence for semilinear wave equations exterior to nontrapping obstacles

Jason Metcalfe
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Abstract

In this paper, we show global existence, in spatial dimensions greater than or equal to four, for semilinear wave equations with quadratic nonlinearities exterior to a nontrapping obstacle. This extends the previous work of Shibata-Tsutsumi and Hayashi. Shibata-Tsutsumi showed the result for spatial dimensions greater than or equal to 6, and Hayashi proved the result exterior to a ball.

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Jason Metcalfe. 2003-02-21. Global existence for semilinear wave equations exterior to nontrapping obstacles. https://arxiv.org/abs/math/0210246

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