On the Cauchy problem for a nonlinear variational wave equation with degenerate initial data

被引：11

作者：

Hu, Yanbo ^{[1
]}

Wang, Guodong ^{[2
]}

机构：

[1] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China

[2] Anhui Jianzhu Univ, Sch Math & Phys, Hefei 230601, Anhui, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2018年 / 176卷

基金：

美国国家科学基金会;

关键词：

Variational wave equation; Degenerate hyperbolic; Cauchy problem; Weighted metric space; CONSERVATIVE SOLUTIONS; LIQUID-CRYSTALS; WEAK SOLUTIONS; UNIQUENESS; EXISTENCE; SYSTEM;

D O I：

10.1016/j.na.2018.06.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is focused on a one-dimensional nonlinear variational wave equation which is the Euler-Lagrange equations of a variational principle arising in the theory of nematic liquid crystals and a few other physical contexts. We establish the local existence and uniqueness of classical solutions to its Cauchy problem with initial data given on the parabolic degenerating line. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：192 / 208

页数：17

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