論文

査読有り
2010年

A Remark on the Global Existence of a Third Order Dispersive Flow into Locally Hermitian Symmetric Spaces

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
  • Eiji Onodera

35
6
開始ページ
1130
終了ページ
1144
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1080/03605301003717134
出版者・発行元
TAYLOR & FRANCIS INC

We prove time-global existence of solutions to the initial value problem for a third order dispersive flow into compact locally Hermitian symmetric spaces. The equation under consideration generalizes two-sphere-valued completely integrable systems modeling the motion of vortex filament. Unlike one-dimensional Schrodinger maps, our third order equation is not completely integrable under the curvature condition on the target manifold in general. The idea of our proof is to exploit two conservation laws and an oalmost conserved quantityo which prevents the formation of a singularity in finite time.

Web of Science ® 被引用回数 : 6

リンク情報
DOI
https://doi.org/10.1080/03605301003717134
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000277728800006&DestApp=WOS_CPL
URL
http://www.informaworld.com/smpp/content~db=all?content=10.1080/03605301003717134

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