THE REGULARITY AND EXPONENTIAL DECAY OF SOLUTION FOR A LINEAR WAVE EQUATION ASSOCIATED WITH TWO-POINT BOUNDARY CONDITIONS

Le Xuan Truong; Le Thi Phuong Ngoc; Alain Pham Ngoc Dinh; Nguyen Thanh Long

hal-00294600, version 1

THE REGULARITY AND EXPONENTIAL DECAY OF SOLUTION FOR A LINEAR WAVE EQUATION ASSOCIATED WITH TWO-POINT BOUNDARY CONDITIONS

Le Xuan Truong () ¹, Le Thi Phuong Ngoc ², Alain Pham Ngoc Dinh () ³, Nguyen Thanh Long () ⁴

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.

1: Department of Mathematics
University of Technical Education of HoChiMinh City
2: Mathematics department
Nhatrang Educational College
3: Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO)
Université d'Orléans – CNRS : UMR7349
4: University of Natural Science, Vietnam National University HoChiMinhCity (UNS-HCMC)
University of Natural Science, HoChiMinhCity

hal-00294600, version 1
http://hal.archives-ouvertes.fr/hal-00294600
oai:hal.archives-ouvertes.fr:hal-00294600
From: Alain Pham Ngoc Dinh <>
Submitted on: Wednesday, 9 July 2008 19:20:51
Updated on: Wednesday, 9 July 2008 20:06:48

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arXiv: 0807.1510

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