arXiv Analytics

Sign in

arXiv:2211.12295 [math.AP]AbstractReferencesReviewsResources

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

Shunsuke Kitamura

Published 2022-11-22Version 1

In this paper, we investigate the lifespan estimates of classical solutions of the initial value problems for semilinear wave equations of derivative type with characteristic weights in one space dimension. Such equations provide us basic principles on extending the general theory for nonlinear wave equations to the non-autonomous case. In our results, two characteristic weights interact with each others and produce a different range of parameters on the global-in-time existence from the nonlinear terms of unknown function itself.

Comments: 28 page, 3 figures. arXiv admin note: substantial text overlap with arXiv:2112.01015
Categories: math.AP
Subjects: 35L71, 35B44
Related articles: Most relevant | Search more
arXiv:2112.01015 [math.AP] (Published 2021-12-02, updated 2022-04-02)
Semilinear wave equations of derivative type with spatial weights in one space dimension
arXiv:2205.07198 [math.AP] (Published 2022-05-15)
The combined effect in one space dimension beyond the general theory for nonlinear wave equations
arXiv:1708.06804 [math.AP] (Published 2017-08-22)
A refined description of evolving interfaces in certain nonlinear wave equations

Links

Toolbox