Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/120191
DC Field | Value | Language |
---|---|---|
dc.contributor | 應數系 | |
dc.creator | 李明融 | zh_TW |
dc.creator | Li, Meng-Rong | en_US |
dc.date | 2004 | |
dc.date.accessioned | 2018-09-28T08:20:11Z | - |
dc.date.available | 2018-09-28T08:20:11Z | - |
dc.date.issued | 2018-09-28T08:20:11Z | - |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/120191 | - |
dc.description.abstract | The author studies the initial value problem for a second order nonlinear ordinary differential equation of the form u ′′ −u p =0 with p∈(0,1) and p∈(1,∞) . The author discusses the existence, blow-up of solutions and an estimate of their life span. This paper tries to cover a particular case of previous studies, namely what the author calls "the lower dimensional case of the semilinear wave equation``. The analysis is standard and it mainly uses energy estimates to analyse the behaviour of solutions of the above "conservative`` system. | zh_TW |
dc.description.abstract | In this paper we work with the ordinary equation u ′′ −u p = 0 and obtain some interesting phenomena concerning blow-up, blow-up rate, life-span, zeros, critical points and the asymptotic behavior at infinity of solutions to this equation. | en_US |
dc.format.extent | 430280 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.relation | Bulletin of the Institute of Mathematics. Academia Sinica (Bull. Inst. Math. Acad. Sinica), Vol. 32 No. 3, 145-172 | |
dc.relation | AMS MathSciNet:MR2095180 | |
dc.title | On the positive solutions of the differential equation $u``-u^p=0$. | en_US |
dc.type | article | |
item.fulltext | With Fulltext | - |
item.cerifentitytype | Publications | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.grantfulltext | restricted | - |
Appears in Collections: | 期刊論文 |
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