The lifespan of classical solutions of one dimensional wave equations with semilinear terms of the spatial derivative

The lifespan of classical solutions of one dimensional wave equations with semilinear terms of the spatial derivative

This paper is devoted to the lifespan estimates of small classical solutions of the initial value problems for one dimensional wave equations with semilinear terms of the spatial derivative of the unknown function. It is natural that the result is same as the one for semilinear terms of the time-der...

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Bibliographic Details
Main Authors: Takiko Ssasaki, Shu Takamatsu, Hiroyuki Takamura
Format: Article
Language:English
Published: AIMS Press 2023-08-01
Series:AIMS Mathematics
Subjects:
semilinear wave equation
one dimension
classical solution
lifespan
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231300?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20231300?viewType=HTML

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