On Schrodinger propagator for the special Hermite operator

被引:11
作者
Ratnakumar, P. K. [1 ]
机构
[1] Harish Chandra Res Inst, Jhansi 211019, Uttar Pradesh, India
关键词
Schrodinger equation; oscillatory semi group; special Hermite expansion; special Hermite operator;
D O I
10.1007/s00041-008-9007-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We establish a Strichartz type estimate for the Schrodinger propagator e(itL) for the special Hermite operator L on C-n. Our method relies on a regularization technique. We show that no admissibility condition is required on (q, p) when 1 <= q <= 2.
引用
收藏
页码:286 / 300
页数:15
相关论文
共 13 条
[1]  
Folland G. B., 1989, ANN MATH STUDIES, V122
[2]  
Folland G.B., 1984, REAL ANAL MODERN TEC
[3]   Dispersive estimates for the three-dimensional Schrodinger equation with rough potentials [J].
Goldberg, M. .
AMERICAN JOURNAL OF MATHEMATICS, 2006, 128 (03) :731-750
[4]   Dispersive estimates for Schrodinger operators in dimensions one and three [J].
Goldberg, M ;
Schlag, W .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2004, 251 (01) :157-178
[5]   DECAY-ESTIMATES FOR SCHRODINGER-OPERATORS [J].
JOURNE, JL ;
SOFFER, A ;
SOGGE, CD .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1991, 44 (05) :573-604
[6]   Endpoint Strichartz estimates [J].
Keel, M ;
Tao, T .
AMERICAN JOURNAL OF MATHEMATICS, 1998, 120 (05) :955-980
[7]  
Lebedev N. N., 1992, SPECIAL FUNCTIONS TH
[8]   Schrodinger equation and the oscillatory semigroup for the Hermite operator (vol 224, pg 371, 2005) [J].
Nandakumaran, A. K. ;
Ratnakumar, P. K. .
JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 235 (02) :719-720
[9]   Schrodinger equation and the oscillatory semigroup for the Hermite operator [J].
Nandakumaran, AK ;
Ratnakumar, PK .
JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 224 (02) :371-385
[10]  
STEIN EM, 1975, FOURIER ANAL EUCILDE