Uniqueness of conservative solutions to a one-dimensional general quasilinear wave equation through variational principle

被引：4

作者：

Cai, Hong ^{[1
,2
]}

Chen, Geng ^{[3
]}

Du, Yi ^{[4
]}

Shen, Yannan ^{[3
]}

机构：

[1] Qingdao Univ Sci & Technol, Dept Math, Qingdao 266061, Shandong, Peoples R China

[2] Qingdao Univ Sci & Technol, Res Inst Math & Interdisciplinary Sci, Qingdao 266061, Shandong, Peoples R China

[3] Univ Kansas, Dept Math, Lawrence, KS 66045 USA

[4] Jinan Univ, Dept Math, Guangzhou 510632, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2022年 / 63卷 / 02期

基金：

中国国家自然科学基金; 美国国家科学基金会; 国家重点研发计划;

关键词：

GLOBAL EXISTENCE; SINGULARITIES; REGULARITY; SYSTEM;

D O I：

10.1063/5.0079917

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we prove the uniqueness of an energy conservative Holder continuous weak solution to a general quasilinear wave equation by the analysis of characteristics. This result has no restriction on the size of solutions, i.e., it is a large data result. This paper is a companion paper of Cai, Chen, and Shen [J. Math. Pures Appl. (submitted); arXiv:2007.15201] addressing the Lipschitz continuous dependence of solution.

引用

页数：21

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