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.

引用

页数：33

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