CLASS OF NON-LINEAR SCHRODINGER-EQUATIONS WITH NON LOCAL INTERACTION

被引:152
作者
GINIBRE, J
VELO, G
机构
[1] UNIV BOLOGNA, IST FIS A RIGHI, I-40126 BOLOGNA, ITALY
[2] IST NAZL FIZ NUCL, BOLOGNA, ITALY
关键词
D O I
10.1007/BF01214768
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:109 / 136
页数:28
相关论文
共 14 条
[1]  
BAILLON JB, 1977, CR ACAD SCI A MATH, V284, P869
[2]   HARTREE-FOCK TIME-DEPENDENT PROBLEM [J].
BOVE, A ;
DAPRATO, G ;
FANO, G .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1976, 49 (01) :25-33
[3]   EXISTENCE PROOF FOR HARTREE-FOCK TIME-DEPENDENT PROBLEM WITH BOUNDED 2-BODY INTERACTION [J].
BOVE, A ;
DAPRATO, G ;
FANO, G .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1974, 37 (03) :183-191
[4]   GLOBAL EXISTENCE OF SOLUTIONS TO CAUCHY-PROBLEM FOR TIME-DEPENDENT HARTREE EQUATIONS [J].
CHADAM, JM ;
GLASSEY, RT .
JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (05) :1122-1130
[5]  
Friedman A., 1969, PARTIAL DIFFERENTIAL
[6]   CLASS OF NON-LINEAR SCHRODINGER EQUATIONS .2. SCATTERING THEORY, GENERAL-CASE [J].
GINIBRE, J ;
VELO, G .
JOURNAL OF FUNCTIONAL ANALYSIS, 1979, 32 (01) :33-71
[7]  
GINIBRE J, 1978, ANN I H POINCARE A, V28, P287
[8]   CLASSICAL FIELD LIMIT OF SCATTERING THEORY FOR NONRELATIVISTIC MANY-BOSON SYSTEMS .1. [J].
GINIBRE, J ;
VELO, G .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 66 (01) :37-76
[9]   CLASS OF NON-LINEAR SCHRODINGER EQUATIONS .1. CAUCHY-PROBLEM, GENERAL-CASE [J].
GINIBRE, J ;
VELO, G .
JOURNAL OF FUNCTIONAL ANALYSIS, 1979, 32 (01) :1-32
[10]   ASYMPTOTIC-BEHAVIOR OF SOLUTIONS TO CERTAIN NONLINEAR SCHRODINGER-HARTREE EQUATIONS [J].
GLASSEY, RT .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1977, 53 (01) :9-18