Nonexistence of global solutions of wave equations with weak time-dependent damping and combined nonlinearity
Analysis of PDEs
2019-05-20 v1
Abstract
In our previous two works, we studied the blow-up and lifespan estimates for damped wave equations with a power nonlinearity of the solution or its derivative, with scattering damping independently. In this work, we are devoted to establishing a similar result for a combined nonlinearity. Comparing to the result of wave equation without damping, one can say that the scattering damping has no influence.
Keywords
Cite
@article{arxiv.1802.10273,
title = {Nonexistence of global solutions of wave equations with weak time-dependent damping and combined nonlinearity},
author = {Ning-An Lai and Hiroyuki Takamura},
journal= {arXiv preprint arXiv:1802.10273},
year = {2019}
}
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19 pages