Global solutions to a one-dimensional nonlinear wave equation derivable from a variational principle

This article focuses on a one-dimensional nonlinear wave equation which is the Euler-Lagrange equation of a variational principle whose Lagrangian density involves linear terms and zero term as well as quadratic terms in derivatives of the field. We establish the global existence of weak solutio...

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Bibliographic Details
Main Authors: Yanbo Hu, Guodong Wang
Format: Article
Language:English
Published: Texas State University 2017-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/294/abstr.html