Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass
Analysis of PDEs
2020-04-20 v2
Abstract
We consider the linear wave equation with the time-dependent scale-invariant damping and mass. We also treat the corresponding equation with the energy critical nonlinearity. Our aim is to show that the solution scatters to a modified linear wave solution and to obtain its asymptotic order.
Cite
@article{arxiv.2004.03832,
title = {Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass},
author = {Takahisa Inui and Haruya Mizutani},
journal= {arXiv preprint arXiv:2004.03832},
year = {2020}
}