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題名 非線性擾動下三維有界域半線性波方式爆炸解之穩定性研究
其他題名 Stability of Positive Solutions for Some Semilinear Wave Equations in Bounded Domain under Nonlinear Perturbation near Blow-Up Solutions in 3-Space Dimension
作者 李明融;白仁德;謝宗翰
貢獻者 國立政治大學應用數學學系
行政院國家科學委員會
關鍵詞 數學
stability; boundary values problem; semilinear wave equation; blow-up
日期 2010
上傳時間 24-十月-2012 16:14:07 (UTC+8)
摘要 我們將於此計畫研究二維有界域上半線性波方程在非線性干擾下正解的穩定性問題。
In this research we will study the stability of the positive solutions for some semilinear wave equations under nonlinear perturbation near blow-up solutions in 2-space dimension u − Δu = u p + uq in [0,T )× Ω. tt λ . In this report we will consider the stability problem of positive solutions of semilinear wave equations pttuuu with initial and boundary values problem near the blow-up solution in 3-space dimension.
關聯 基礎研究
學術補助
研究期間:9908~ 10007
研究經費:395仟元
資料類型 report
dc.contributor 國立政治大學應用數學學系en_US
dc.contributor 行政院國家科學委員會en_US
dc.creator (作者) 李明融;白仁德;謝宗翰zh_TW
dc.date (日期) 2010en_US
dc.date.accessioned 24-十月-2012 16:14:07 (UTC+8)-
dc.date.available 24-十月-2012 16:14:07 (UTC+8)-
dc.date.issued (上傳時間) 24-十月-2012 16:14:07 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/54057-
dc.description.abstract (摘要) 我們將於此計畫研究二維有界域上半線性波方程在非線性干擾下正解的穩定性問題。en_US
dc.description.abstract (摘要) In this research we will study the stability of the positive solutions for some semilinear wave equations under nonlinear perturbation near blow-up solutions in 2-space dimension u − Δu = u p + uq in [0,T )× Ω. tt λ . In this report we will consider the stability problem of positive solutions of semilinear wave equations pttuuu with initial and boundary values problem near the blow-up solution in 3-space dimension.en_US
dc.language.iso en_US-
dc.relation (關聯) 基礎研究en_US
dc.relation (關聯) 學術補助en_US
dc.relation (關聯) 研究期間:9908~ 10007en_US
dc.relation (關聯) 研究經費:395仟元en_US
dc.subject (關鍵詞) 數學en_US
dc.subject (關鍵詞) stability; boundary values problem; semilinear wave equation; blow-upen_US
dc.title (題名) 非線性擾動下三維有界域半線性波方式爆炸解之穩定性研究zh_TW
dc.title.alternative (其他題名) Stability of Positive Solutions for Some Semilinear Wave Equations in Bounded Domain under Nonlinear Perturbation near Blow-Up Solutions in 3-Space Dimensionen_US
dc.type (資料類型) reporten