Weak solutions to a nonlinear variational sine-Gordon equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:402

Article

Hu, Yanbo¹  Wang, Guodong² 

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

[2] Anhui Univ Architecture, Dept Math & Phys, Hefei 230601, Peoples R China

关键词: Variational wave equation;    Variational sine-Gordon equation;    Weak solutions;    Young measure;   

DOI  :  10.1016/j.jmaa.2013.01.004

来源: Elsevier

【 摘 要 】

This paper considers a nonlinear variational sine-Gordon equation u(tt) - c(u)[c(u)u(x)](x) + lambda(2)/2 sin(2u) = 0 which describes the motion of long waves on a neutral dipole chain in the continuum limit and a few other physical phenomena. We establish the global existence of dissipative weak solutions to its Cauchy problem for initial data in the space H-1 x L-2 by using the Young measure theory in the setting of L-P spaces. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free