Asymptotic behavior of global solutions to one-dimension quasilinear wave equations

被引：0

作者：

Li, Mengni ^{[1
,2
]}

机构：

[1] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China

[2] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China

来源：

DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 18卷 / 02期

关键词：

Quasilinear wave equation; null condition; weight function; asymptotic behavior; EXISTENCE; DECAY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The asymptotic behavior of solutions is a significant subject in the theory of wave equations. In this paper we are concerned with the asymptotic behavior of the unique global solution to the Cauchy problem for one-dimension quasilinear wave equations with null conditions. By applying the small-data-global-existence result and exploiting the strength of weights, we not only provide sharper convergence from the quasilinear case to the linear case but also study the rigidity aspect of the scattering problem for quasilinear waves.

引用

页码：81 / 100

页数：20

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