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arXiv · 2112.01015

Semilinear wave equations of derivative type with spatial weights in one space dimension

Shunsuke Kitamura·Katsuaki Morisawa·Hiroyuki Takamura
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Abstract

This paper is devoted to the initial value problems for semilinear wave equations of derivative type with spatial weights in one space dimension. The lifespan estimates of classical solutions are quite different from those for nonlinearity of unknown function itself as the global-in-time existence can be established by spatial decay.

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Shunsuke Kitamura, Katsuaki Morisawa, Hiroyuki Takamura. 2022-09-22. Semilinear wave equations of derivative type with spatial weights in one space dimension. https://doi.org/10.1016/j.nonrwa.2022.103764

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