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

被引：6

作者：

Le Xuan Truong ^{[2
]}

Le Thi Phuong Ngoc ^{[3
]}

Alain Pham Ngoc Dinh ^{[4
]}

Nguyen Thanh Long ^{[1
]}

机构：

[1] Vietnam Natl Univ HoChiMinh City, Univ Nat Sci, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam

[2] Hoa Sen Univ, Fac Econ & Commerces, Ho Chi Minh City, Vietnam

[3] Nhatrang Educ Coll, Nhatrang City, Vietnam

[4] Univ Orleans, MAPMO, UMR 6628, F-45067 Orleans 2, France

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 03期

关键词：

Faedo-Galerkin method; Global existence; Nonlinear wave equation; Two-point boundary conditions; MATHEMATICAL ASPECTS; ELASTIC STRINGS; VIBRATIONS; EXISTENCE;

D O I：

10.1016/j.nonrwa.2009.02.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence and the regularity of global solutions to the linear wave equation associated the boundary conditions of two-point type We also investigate the decay properties of the global solutions to this problem by the construction of a suitable Lyapunov functional. Finally, we present some numerical results. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1289 / 1303

页数：15

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