THE CAUCHY PROBLEM FOR SCHRODINGER FLOWS INTO KAHLER MANIFOLDS

被引：18

作者：

Kenig, Carlos ^{[1
]}

Lamm, Tobias ^{[2
]}

Pollack, Daniel ^{[3
]}

Staffilani, Gigliola ^{[4
]}

Toro, Tatiana ^{[3
]}

机构：

[1] Univ Chicago, Chicago, IL 60637 USA

[2] Univ British Columbia, Vancouver, BC V5Z 1M9, Canada

[3] Univ Washington, Seattle, WA 98195 USA

[4] MIT, Cambridge, MA 02139 USA

来源：

基金：

美国国家科学基金会;

关键词：

Schrodinger flows; Energy Estimates; Cauchy Problem; GLOBAL EXISTENCE; LOCAL EXISTENCE; MAPS; UNIQUENESS; DYNAMICS;

D O I：

10.3934/dcds.2010.27.389

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove local well-posedness of the Schrodinger flow from R-n into a compact Kahler manifold N with initial data in Hs+1(R-n, N) for s >= [n/2] + 4.

引用

页码：389 / 439

页数：51

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