|
|||||
|
|
A linear wave equation with a nonlinear boundary condition of viscoelastic type |
|
| Authors: | Le Thi Phuong Ngoc Nguyen Anh Triet Nguyen Thanh Long |
| Institution: | 1. Nhatrang Educational College, 01 Nguyen Chanh Street, Nhatrang City, Viet Nam;2. Department of Mathematics, University of Architecture of Ho Chi Minh City, 196 Pasteur Street, Dist. 3, Ho Chi Minh City, Viet Nam;3. Department of Mathematics and Computer Science, University of Natural Science, Vietnam National University, Ho Chi Minh City, 227 Nguyen Van Cu Street, Dist. 5, Ho Chi Minh City, Viet Nam |
| Abstract: | The paper is devoted to the study of a linear wave equation with a nonlinear boundary condition of viscoelastic type. The existence of a weak solution is proved by using the Faedo–Galerkin method. The uniqueness, regularity and asymptotic expansion of the solution are also discussed. |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ | |