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The regularity and exponential decay of solution for a linear wave equation associated with two-point boundary conditions |
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| Authors: | Le Xuan Truong Le Thi Phuong Ngoc Alain Pham Ngoc Dinh Nguyen Thanh Long |
| Institution: | 1. Faculty of Economics and Commerces, Hoa Sen University, 08 Nguyen Van Trang Street, Dist. 1, HoChiMinh City, Viet Nam;2. Nhatrang Educational College, 01 Nguyen Chanh Street, Nhatrang City, Viet Nam;3. MAPMO, UMR 6628, bât. Mathématiques, University of Orléans, BP 6759, 45067 Orléeans Cedex 2, France;4. Department of Mathematics and Computer Science, University of Natural Science, Vietnam National University HoChiMinh City, 227 Nguyen Van Cu Street, Dist. 5, HoChiMinh City, Viet Nam |
| Abstract: | 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. |
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