{ "id": "0807.1510", "version": "v2", "published": "2008-07-09T18:06:40.000Z", "updated": "2011-11-16T09:35:53.000Z", "title": "The regularity and exponential decay of solution for a linear wave equation associated with two-point boundary conditions", "authors": [ "Le Xuan Truong", "Le Thi Phuong Ngoc", "Alain Pham Ngoc Dinh", "Nguyen Thanh Long" ], "comment": "18 pages", "journal": "Nonlinear Analysis - Real World Applications (2010) 1289-1303", "categories": [ "math.AP" ], "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.", "revisions": [ { "version": "v2", "updated": "2011-11-16T09:35:53.000Z" } ], "analyses": { "keywords": [ "linear wave equation", "two-point boundary conditions", "exponential decay", "regularity", "global solutions" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0807.1510T" } } }