THE CAUCHY PROBLEM FOR SCHRODINGER FLOWS INTO KAHLER MANIFOLDS

被引：19
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：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2010年 / 27卷 / 02期
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
收藏
页码：389 / 439
页数：51
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