Probabilistic methods for discrete nonlinear Schrodinger equations

被引：12
|
作者：
Chatterjee, Sourav [1 ]
Kirkpatrick, Kay [1 ,2 ]
机构：
[1] NYU, Courant Inst, 251 Mercer St,Rm 813, New York, NY 10012 USA
[2] Univ Paris 09, Ctr Rech Math Decis, F-75775 Paris 16, France
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2012年 / 65卷 / 05期
基金：
美国国家科学基金会;
关键词：
DATA CAUCHY-THEORY; INVARIANT-MEASURES; CUBIC SCHRODINGER; STATISTICAL-MECHANICS; DERIVATION; THRESHOLDS; BREATHERS; EXISTENCE; DYNAMICS; PETIT;
D O I：
10.1002/cpa.21388
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the thermodynamics of the focusing cubic discrete nonlinear Schrodinger equation are exactly solvable in dimension 3 and higher. A number of explicit formulas are derived. (c) 2012 Wiley Periodicals, Inc.
引用
收藏
页码：727 / 757
页数：31
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