On the growth of high Sobolev norms of solutions for KdV and Schrodinger equations

被引：78
作者：
Staffilani, G
机构：
[1] Department of Mathematics, Stanford University, Stanford, CA
来源：
DUKE MATHEMATICAL JOURNAL | 1997年 / 86卷 / 01期
关键词：
D O I：
10.1215/S0012-7094-97-08604-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：109 / 142
页数：34
相关论文
共 16 条
[1]  
BOURGAIN J, 1995, J FOURIER ANAL APPL, P17
[2]  
Bourgain J., 1993, GEOM FUNCT ANAL, V3, P107
[3]  
BOURGAIN J, 1995, NONLINEAR SCHRODINGE
[4]  
BOURGAIN J, 1996, GROWTH TIME HIGHER S, P277
[5]  
Bourgain J., 1993, GEOM FUNCT ANAL, V3, P209
[6]   THE CAUCHY-PROBLEM FOR THE CRITICAL NONLINEAR SCHRODINGER-EQUATION IN HS [J].
CAZENAVE, T ;
WEISSLER, FB .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1990, 14 (10) :807-836
[7]  
CAZENAVE T, 1989, LECT NOTES MATH, V1394, P18
[8]  
KENIG C, IN PRESS T AM MATH S
[9]   SMALL SOLUTIONS TO NONLINEAR SCHRODINGER-EQUATIONS [J].
KENIG, CE ;
PONCE, G ;
VEGA, L .
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1993, 10 (03) :255-288
[10]   OSCILLATORY INTEGRALS AND REGULARITY OF DISPERSIVE EQUATIONS [J].
KENIG, CE ;
PONCE, G ;
VEGA, L .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1991, 40 (01) :33-69
12