STATISTICAL-MECHANICS OF NONLINEAR-WAVE EQUATIONS .4. CUBIC SCHRODINGER

被引：40
|
作者：
MCKEAN, HP
机构：
[1] CIMS, New York University, New York City, 10012, Ny
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1995年 / 168卷 / 03期
关键词：
D O I：
10.1007/BF02101840
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The cubic Schrodinger equation is considered on the circle, both in the de-focussing and the focussing case. The existence of the flow is proved together with the invariance of the appropriate Gibbsian measure, namely the petit canonical measure in the defocussing case and the micro-canonical measure in the focussing case.
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页码：479 / 491
页数：13
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