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題名 Regularity and blow-up constants of solutions for differential equation u``−u p = 0/TJM
作者 李明融
Li, Meng-Rong
林俊宏
Lin, Zing-Hung
貢獻者 應數系
日期 2006.03
上傳時間 13-Jun-2014 16:56:08 (UTC+8)
摘要 In this paper we gain some results on the regularity and also the blow-up rates and constants of solutions to the equation u − up = 0 under some different situations. The blow-up rate and blow-up constant of u(2n) are (p− 2n+ 2) and (±) (p− 2n+ 2)· Πn−1 i=0 (p−2i+ 2) (p− 2i+ 1)E (0)p/2 respectively; blow-up rate and blow-up constant of u(2n+1) are (p− 2n+ 1) and (p−2n+2) Πn−1 i=0 (p−2i+2)· (p−2i+1)E (0)p−n respectively, where E (0) = u (0)2 − 2p+1u(0)p+1
關聯 Taiwanese Journal of Mathematics, 10(3), 777-795
資料類型 article
dc.contributor 應數系en_US
dc.creator (作者) 李明融zh_TW
dc.creator (作者) Li, Meng-Rongen_US
dc.creator (作者) 林俊宏zh_TW
dc.creator (作者) Lin, Zing-Hungen_US
dc.date (日期) 2006.03en_US
dc.date.accessioned 13-Jun-2014 16:56:08 (UTC+8)-
dc.date.available 13-Jun-2014 16:56:08 (UTC+8)-
dc.date.issued (上傳時間) 13-Jun-2014 16:56:08 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/66704-
dc.description.abstract (摘要) In this paper we gain some results on the regularity and also the blow-up rates and constants of solutions to the equation u − up = 0 under some different situations. The blow-up rate and blow-up constant of u(2n) are (p− 2n+ 2) and (±) (p− 2n+ 2)· Πn−1 i=0 (p−2i+ 2) (p− 2i+ 1)E (0)p/2 respectively; blow-up rate and blow-up constant of u(2n+1) are (p− 2n+ 1) and (p−2n+2) Πn−1 i=0 (p−2i+2)· (p−2i+1)E (0)p−n respectively, where E (0) = u (0)2 − 2p+1u(0)p+1en_US
dc.format.extent 161910 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Taiwanese Journal of Mathematics, 10(3), 777-795en_US
dc.title (題名) Regularity and blow-up constants of solutions for differential equation u``−u p = 0/TJMen_US
dc.type (資料類型) articleen