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arXiv · 2204.00242

The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights

Shunsuke Kitamura·Hiroyuki Takamura·Kyouhei Wakasa
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Abstract

In this paper, we study the lifespan estimates of classical solutions for semilinear wave equations with characteristic weights and compactly supported data in one space dimension. The results include those for weights by time-variable, but exclude those for weights by space-variable in some cases. We have interactions of two characteristic directions.

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Shunsuke Kitamura, Hiroyuki Takamura, Kyouhei Wakasa. 2023-06-26. The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights. https://doi.org/10.1016/j.jmaa.2023.127516

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