Global existence for semilinear wave equations exterior to nontrapping obstacles

Details Global existence for semilinear wave equations exterior to nontrapping obstacles Global existence for semilinear wave equations exterior to nontrapping obstacles

2002-10-16

arxiv.org/abs/math/0210246v2

Mathematics

Analysis of PDEs

Scientific paper

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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