EXISTENCE OF GLOBAL-SOLUTIONS FOR NONLINEAR DISPERSIVE EQUATIONS

被引:2
作者
TOM, MM
机构
[1] Department of Mathematics, Louisiana State University, Baton Rouge
关键词
NONLINEAR DISPERSIVE WAVES; LOCAL (GLOBAL) WELL-POSEDNESS; CONTINUATION PRINCIPLE;
D O I
10.1016/0362-546X(93)90016-L
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
[No abstract available]
引用
收藏
页码:175 / 189
页数:15
相关论文
共 22 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]  
ALBERT JP, 1988, MAT APL COMPUT, V7, P3
[4]   INTERNAL WAVES OF PERMANENT FORM IN FLUIDS OF GREAT DEPTH [J].
BENJAMIN, TB .
JOURNAL OF FLUID MECHANICS, 1967, 29 :559-&
[5]   INITIAL-VALUE PROBLEM FOR KORTEWEG-DEVRIES EQUATION [J].
BONA, JL ;
SMITH, R .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1975, 278 (1287) :555-601
[6]  
BONA JL, IN PRESS J DIFF EQNS
[7]  
Brezis H., 1980, Nonlinear Analysis Theory, Methods & Applications, V4, P677, DOI 10.1016/0362-546X(80)90068-1
[8]   DISPERSION OF SMALL AMPLITUDE SOLUTIONS OF THE GENERALIZED KORTEWEG-DEVRIES EQUATION [J].
CHRIST, FM ;
WEINSTEIN, MI .
JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 100 (01) :87-109
[9]   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
[10]   ON THE CAUCHY-PROBLEM FOR THE BENJAMIN-ONO-EQUATION [J].
IORIO, RJ .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1986, 11 (10) :1031-1081