Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass

被引：0

作者：

Takahisa Inui

Haruya Mizutani

机构：

[1] Osaka University,Department of Mathematics, Graduate School of Science

来源：

Nonlinear Differential Equations and Applications NoDEA | 2021年 / 28卷

关键词：

Wave equation; Scale-invariant damping; Scattering; Energy critical nonlinearity; Strichartz estimates; 35L05; 35B40; 35L70; etc;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

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