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：
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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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