English

The regularity and exponential decay of solution for a linear wave equation associated with two-point boundary conditions

Analysis of PDEs 2011-11-29 v2

Abstract

This paper is concerned with the existence and the regularity of global solutions to the linear wave equation associated with two-point type boundary conditions. We also investigate the decay properties of the global solutions to this problem by the construction of a suitable Lyapunov functional.

Keywords

Cite

@article{arxiv.0807.1510,
  title  = {The regularity and exponential decay of solution for a linear wave equation associated with two-point boundary conditions},
  author = {Le Xuan Truong and Le Thi Phuong Ngoc and Alain Pham Ngoc Dinh and Nguyen Thanh Long},
  journal= {arXiv preprint arXiv:0807.1510},
  year   = {2011}
}

Comments

18 pages

R2 v1 2026-06-21T10:59:00.869Z