On the Cauchy Problem for the third order Benjamin-Ono equation

被引:6
作者
Feng, XS [1 ]
Han, XY [1 ]
机构
[1] SHANXI ECON MANAGEMENT COLL,DEPT ENVIRONM SCI,TAIYUAN 030006,PEOPLES R CHINA
来源
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 1996年 / 53卷
关键词
D O I
10.1112/jlms/53.3.512
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The existence and uniqueness of global solutions to the Cauchy problem for the third order Benjamin-One equation are established, In addition, we obtain an Iorio type result for the asymptotic behaviour of its solutions.
引用
收藏
页码:512 / 528
页数:17
相关论文
共 14 条
[1]   NONLOCAL MODELS FOR NONLINEAR, DISPERSIVE WAVES [J].
ABDELOUHAB, L ;
BONA, JL ;
FELLAND, M ;
SAUT, JC .
PHYSICA D, 1989, 40 (03) :360-392
[2]  
Abdelouhab L, 1992, DIFFERENTIAL INTEGRA, V5, P307
[3]  
FENG XS, 1995, IN PRESS ACTA MATH A
[4]  
GINIBRE J, 1989, ANN I H POINCARE-PHY, V51, P221
[5]   SMOOTHING PROPERTIES AND EXISTENCE OF SOLUTIONS FOR THE GENERALIZED BENJAMIN-ONO-EQUATION [J].
GINIBRE, J ;
VELO, G .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 93 (01) :150-212
[6]   THE BENJAMIN-ONO-EQUATION IN WEIGHTED SOBOLEV SPACES [J].
IORIO, RJ .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 157 (02) :577-590
[7]   ON THE CAUCHY-PROBLEM FOR THE BENJAMIN-ONO-EQUATION [J].
IORIO, RJ .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1986, 11 (10) :1031-1081
[8]  
Kato T., 1972, Journal of Functional Analysis, V9, P296, DOI 10.1016/0022-1236(72)90003-1
[9]  
KATO T, 1984, J FUNCT ANAL, V51, P15
[10]  
KUPERSHMIDT B, 1981, LIBERTAS MATH, V1, P125