| Well-posedness for a class of mixed problem of wave equations | |
| Liu, Haihong ; Su, Ning | |
| 2010-10-12 ; 2010-10-12 | |
| 关键词 | Well-posedness Wave equation Variable separation Eigenvalue Energy inequality Mathematics, Applied Mathematics |
| 中文摘要 | This paper studies an initial-boundary value problem (IBV) of the wave equation, in which time derivative of second order appears in the boundary condition. This results in study of new Sturm-Liouville problem. The solution of IBV is then constructed in terms of the family of eigenfunctions of the S-L problem. Uniqueness and stability are proved via energy inequality method. Some extension is explained. A parabolic variant is also illustrated. (c) 2008 Elsevier Ltd. All rights reserved. |
| 语种 | 英语 ; 英语 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD ; OXFORD ; THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/81295]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Liu, Haihong,Su, Ning. Well-posedness for a class of mixed problem of wave equations[J],2010, 2010. |
| APA | Liu, Haihong,&Su, Ning.(2010).Well-posedness for a class of mixed problem of wave equations.. |
| MLA | Liu, Haihong,et al."Well-posedness for a class of mixed problem of wave equations".(2010). |
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