2016年10月
Combined effects of two nonlinearities in lifespan of small solutions to semi-linear wave equations
Mathematische Annalen
- ,
- ,
- 巻
- 366
- 号
- 1-2
- 開始ページ
- 667
- 終了ページ
- 694
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/s00208-015-1346-1
- 出版者・発行元
- SPRINGER HEIDELBERG
This paper investigates the combined effects of two distinctive power-type nonlinear terms (with parameters p, q > 1) in the lifespan of small solutions to semi-linear wave equations. We determine the full region of (p, q) to admit global existence of small solutions, at least for spatial dimensions n = 2, 3. Moreover, for many (p, q) when there is no global existence, we obtain sharp lower bound of the lifespan, which is of the same order as the upper bound of the lifespan.
- リンク情報
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- DOI
- https://doi.org/10.1007/s00208-015-1346-1
- J-GLOBAL
- https://jglobal.jst.go.jp/detail?JGLOBAL_ID=201702220045702469
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000386761100024&DestApp=WOS_CPL
- URL
- http://arxiv.org/abs/1407.6750
- ID情報
-
- DOI : 10.1007/s00208-015-1346-1
- ISSN : 0025-5831
- eISSN : 1432-1807
- J-Global ID : 201702220045702469
- Web of Science ID : WOS:000386761100024