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デジタル記事
小野寺, 栄治Mathematical Society of Japan - Kobe University2012MI Preprint Series2008-2
インターネットで読める全国の図書館
  • 件名Schrödinger map geometric analysis energy method smoothing ...
  • 一般注記MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry グローバルCOEプログラ...
  • 関連情報Funkcialaj Ekvacioj || 55(1) || p137-156 http://www.math.kyushu-u.ac.jp/ http://www.math.sci.kobe-u.ac.jp/~fe/
デジタル記事
2012Funkcialaj Ekvacioj55 1p.137-156
インターネットで読める全国の図書館
  • 要約等We consider a curve flow for maps from a real line into a compact almost Hermitian manifold, which is governed by a third order nonlinear dispersive equation. This article shows sh......e existence of a solution to the initial value problem for the equation. The difficult......omes from the lack of the Kähler condition on the target manifold, since the covariant derivative of the almost complex structure causes a loss of one derivative in our equation and thus the classical energy method breaks down in general. In the present article, we can overcome the difficulty by constructing a gauge transformation on the pull-back bundle f...
  • 件名Nonlinear dispersive partial differential equations Vortex filament Derivative loss Smoot......thod Geometric analysis
  • 参照A fifth-order dispersive partial differential equation for curve flow on the sphere Local existence of a fourth-order dispersive curve flow on locally Hermitian symmetric spaces and its application Fourth-order dispersive systems on the one-dimensional torus

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