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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 2006-07
上傳時間 21-Jul-2015 15:29:52 (UTC+8)
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
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 Yien_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) articleen
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-