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https://ah.lib.nccu.edu.tw/handle/140.119/76766| 題名: | Blow-up of solutions for some non-linear wave equations of Kirchhoff type with some dissipation | 作者: | Wu, Shun-Tang 吳舜堂 Tsai, Long Yi 蔡隆義 |
貢獻者: | 應數系 | 關鍵詞: | Boundary value problems; Estimation; Nonlinear equations; Problem solving; Blow-up; Dissipation; Life span; Non-linear wave equations; Wave equations | 日期: | 七月-2006 | 上傳時間: | 21-七月-2015 | 摘要: | The initial boundary value problem for non-linear wave equations of Kirchhoff type with dissipation in a bounded domain is considered. We prove the blow-up of solutions for the strong dissipative term - Δ ut and the linear dissipative term ut by the energy method and give some estimates for the life span of solutions. We also show the nonexistence of global solutions with positive initial energy for non-linear dissipative term by Vitillaro`s argument. © 2005 Elsevier Ltd. All rights reserved. | 關聯: | Nonlinear Analysis, Theory, Methods and Applications, 65(2), 243-264 | 資料類型: | article | DOI: | http://dx.doi.org/10.1016/j.na.2004.11.023 |
| Appears in Collections: | 期刊論文 |
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| 243-264.pdf | 212.44 kB | Adobe PDF2 | View/Open |
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