Sharp global well-posedness for KDV and modified KDV on R and T

被引：504

作者：

Colliander, J ^{[1
]}

Keel, M

Staffilani, G

Takaoka, H

Tao, T

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 3G3, Canada

[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[3] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

[4] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

关键词：

Korteweg-de Vries equation; nonlinear dispersive equations; bilinear estimates; multilinear harmonic analysis;

D O I：

10.1090/S0894-0347-03-00421-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：705 / 749

页数：45

共 52 条

[1] [Anonymous], 2001, ELECT J DIFF EQNS
[2] SELF-SPREADING AND STRENGTH OF SINGULARITIES FOR SOLUTIONS TO SEMILINEAR WAVE-EQUATIONS
BEALS, M
[J]. ANNALS OF MATHEMATICS, 1983, 118 (01) : 187 - 214
[3] On the ill-posedness of the IVP for the generalized Korteweg-DeVries and nonlinear Schrodinger equations
Birnir, B
Kenig, CE
Ponce, G
Svanstedt, N
Vega, L
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1996, 53 : 551 - 559
[4] The local ill-posedness of the modified KdV equation
Birnir, B
Ponce, G
Svanstedt, N
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1996, 13 (04): : 529 - 535
[5] INITIAL-VALUE PROBLEM FOR KORTEWEG-DEVRIES EQUATION
BONA, JL
SMITH, R
[J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1975, 278 (1287): : 555 - 601
[6] ASPECTS OF LONG-TIME BEHAVIOR OF SOLUTIONS OF NONLINEAR HAMILTONIAN EVOLUTION-EQUATIONS
BOURGAIN, J
[J]. GEOMETRIC AND FUNCTIONAL ANALYSIS, 1995, 5 (02) : 105 - 140
[7] Bourgain J, 1998, INT MATH RES NOTICES, V1998, P253
[8] Bourgain J., 1993, GEOM FUNCT ANAL, V3, P209
[9] BOURGAIN J, 1997, SELECTA MATH, V3
[10] Bourgain J., 1994, INT MATH RES NOTICES, V2, P79