A Lipschitz metric for α-dissipative solutions to the Hunter-Saxton equation

被引：0

作者：

Grunert, Katrin ^{[1
]}

Tandy, Matthew ^{[1
]}

机构：

[1] NTNU Norwegian Univ Sci & Technol, Dept Math Sci, NO-7491 Trondheim, Norway

来源：

PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2024年 / 5卷 / 04期

关键词：

Hunter-Saxton equation; Lipschitz stability; alpha-Dissipative solutions; CAMASSA-HOLM EQUATION; CONSERVATIVE SOLUTIONS; STABILITY;

D O I：

10.1007/s42985-024-00293-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We explore the Lipschitz stability of solutions to the Hunter-Saxton equation with respect to the initial data. In particular, we study the stability of alpha-dissipative solutions constructed using a generalised method of characteristics approach, where alpha is a function determining the energy loss at each position in space.

引用

页数：33

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