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arXiv:2103.08156 [math.AP]AbstractReferencesReviewsResources

The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension

Shunsuke Kitamura, Katsuaki Morisawa, Hiroyuki Takamura

Published 2021-03-15Version 1

This paper studies initial value problems for semilinear wave equations with spatial weights in one space dimension. The lifespan estimates of classical solutions for compactly supported data are established in all the cases of polynomial weights. The results are classified into two cases according to the total integral of the initial speed.

Comments: 30 pages
Categories: math.AP
Subjects: 35L71, 35B44
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