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

被引：2
|
作者：
Inui, Takahisa [1 ]
Mizutani, Haruya [1 ]
机构：
[1] Osaka Univ, Dept Math, Grad Sch Sci, Toyonaka, Osaka 5600043, Japan
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2021年 / 28卷 / 01期
关键词：
Wave equation; Scale-invariant damping; Scattering; Energy critical nonlinearity; Strichartz estimates; TIME-DEPENDENT DISSIPATION; LIFE-SPAN; EXPONENT;
D O I：
10.1007/s00030-020-00671-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页数：33
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