Improvement on the blow-up for a weakly coupled wave equations with scale-invariant damping and mass and time derivative nonlinearity
Analysis of PDEs
2022-03-29 v1
Abstract
An improvement of [18] on the blow-up region and the lifespan estimate of a weakly coupled system of wave equations with damping and mass in the scale-invariant case and with time-derivative nonlinearity is obtained in this article. Indeed, thanks to a better understanding of the dynamics of the solutions, we give here a better characterization of the blow-up region. Furthermore, the techniques used in this article may be extended to other systems and interestingly they simplify the proof of the blow-up result in [3] which is concerned with the single wave equation in the same context as in the present work.
Keywords
Cite
@article{arxiv.2203.14403,
title = {Improvement on the blow-up for a weakly coupled wave equations with scale-invariant damping and mass and time derivative nonlinearity},
author = {Makram Hamouda and Mohamed Ali Hamza},
journal= {arXiv preprint arXiv:2203.14403},
year = {2022}
}
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19 pages