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arXiv:2112.01015 [math.AP]AbstractReferencesReviewsResources

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

Shunsuke Kitamura, Katsuaki Morisawa, Hiroyuki Takamura

Published 2021-12-02, updated 2022-04-02Version 2

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.

Comments: 16 pages. Minor errors and typos are revised
Categories: math.AP
Subjects: 35L71, 35B44
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