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| Title | Blow-up of solutions for some non-linear wave equations of Kirchhoff type with some dissipation |
| Creator | Wu, Shun-Tang 吳舜堂 Tsai, Long Yi 蔡隆義 |
| Contributor | 應數系 |
| Key Words | Boundary value problems; Estimation; Nonlinear equations; Problem solving; Blow-up; Dissipation; Life span; Non-linear wave equations; Wave equations |
| Date | 2006-07 |
| Date Issued | 21-Jul-2015 15:29:52 (UTC+8) |
| Summary | 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. |
| Relation | Nonlinear Analysis, Theory, Methods and Applications, 65(2), 243-264 |
| Type | article |
| DOI | http://dx.doi.org/10.1016/j.na.2004.11.023 |
| dc.contributor | 應數系 | - |
| dc.creator (作者) | Wu, Shun-Tang | - |
| dc.creator (作者) | 吳舜堂 | zh_TW |
| dc.creator (作者) | Tsai, Long Yi | en_US |
| dc.creator (作者) | 蔡隆義 | zh_TW |
| dc.date (日期) | 2006-07 | - |
| dc.date.accessioned | 21-Jul-2015 15:29:52 (UTC+8) | - |
| dc.date.available | 21-Jul-2015 15:29:52 (UTC+8) | - |
| dc.date.issued (上傳時間) | 21-Jul-2015 15:29:52 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/76766 | - |
| dc.description.abstract (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. | - |
| dc.format.extent | 217537 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | Nonlinear Analysis, Theory, Methods and Applications, 65(2), 243-264 | - |
| dc.subject (關鍵詞) | Boundary value problems; Estimation; Nonlinear equations; Problem solving; Blow-up; Dissipation; Life span; Non-linear wave equations; Wave equations | - |
| dc.title (題名) | Blow-up of solutions for some non-linear wave equations of Kirchhoff type with some dissipation | - |
| dc.type (資料類型) | article | en |
| dc.identifier.doi (DOI) | 10.1016/j.na.2004.11.023 | - |
| dc.doi.uri (DOI) | http://dx.doi.org/10.1016/j.na.2004.11.023 | - |