ON SOLUTIONS FOR THE KADOMTSEV-PETVIASHVILI I EQUATION

被引:7
作者
Colliander, J. [1 ]
Kenig, C. [2 ]
Staffilani, G. [3 ,4 ]
机构
[1] Univ Toronto, Toronto, ON M5S 1A1, Canada
[2] Univ Chicago, Chicago, IL 60637 USA
[3] Brown Univ, Providence, RI 02912 USA
[4] Stanford Univ, Stanford, CA 94305 USA
关键词
Kadomtsev-Petviashvili equation; initial value problem; well-posedness; oscillatory intergals;
D O I
10.17323/1609-4514-2001-1-4-491-520
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Oscillatory integral techniques are used to study the well-posedness of the KP-I equation for initial data that are small with respect to the norm of a weighted Sobolev space involving derivatives of total order no larger than 2.
引用
收藏
页码:491 / 520
页数:30
相关论文
共 23 条
[1]  
[Anonymous], CONT MATH A M S
[2]  
Ben-Artzi M., 1999, DIFFERENTIAL INTEGRA, V12, P137
[3]  
Bourgain J., 1993, GEOM FUNCT ANAL, V3, P315
[4]   Globalizing estimates for the periodic KPI equation [J].
Colliander, JE .
ILLINOIS JOURNAL OF MATHEMATICS, 1996, 40 (04) :692-698
[5]  
FAMINSKII AV, 1992, SIB MAT ZH, V33, P160
[6]   ON THE SOLVABILITY OF THE N-WAVE, DAVEY-STEWARTSON AND KADOMTSEV-PETVIASHVILI EQUATIONS [J].
FOKAS, AS ;
SUNG, LY .
INVERSE PROBLEMS, 1992, 8 (05) :673-708
[7]   On equations of KP-type [J].
Iorio, RJ ;
Nunes, WVL .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1998, 128 :725-743
[8]   Local solution for the Kadomtsev-Petviashvili equation in R(2) [J].
Isaza, P ;
Mejia, J ;
Stallbohm, V .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 196 (02) :566-587
[9]  
ISAZA P, 1997, REV COLOMB MAT, V31, P37
[10]  
Kadomtsev B. B., 1970, Soviet Physics - Doklady, V15, P539