Strichartz estimates for the Schrodinger equation with radial data

被引:11
作者
Stefanov, A [1 ]
机构
[1] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA
关键词
Schrodinger equation; Strichartz estimates;
D O I
10.1090/S0002-9939-00-05722-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove an endpoint Strichartz estimate for radial solutions of the two-dimensional Schrodinger equation: parallel toe(-it triangle) f parallel to (Lt2BMOx) less than or equal to C parallel tof parallel to (L2).
引用
收藏
页码:1395 / 1401
页数:7
相关论文
共 11 条
[1]   SCATTERING-THEORY IN THE ENERGY SPACE FOR A CLASS OF NON-LINEAR WAVE-EQUATIONS [J].
GINIBRE, J ;
VELO, G .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 123 (04) :535-573
[2]   Endpoint Strichartz estimates [J].
Keel, M ;
Tao, T .
AMERICAN JOURNAL OF MATHEMATICS, 1998, 120 (05) :955-980
[3]   SPACE-TIME ESTIMATES FOR NULL FORMS AND THE LOCAL EXISTENCE THEOREM [J].
KLAINERMAN, S ;
MACHEDON, M .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1993, 46 (09) :1221-1268
[4]  
Mockenhaupt G., 1993, J AM MATH SOC, V6, P65
[5]   Time decay for the bounded mean oscillation of solutions of the Schrodinger and wave equations [J].
Montgomery-Smith, SJ .
DUKE MATHEMATICAL JOURNAL, 1998, 91 (02) :393-408
[6]   INEQUALITIES FOR SPHERICALLY SYMMETRICAL SOLUTIONS OF THE WAVE-EQUATION [J].
MULLER, D ;
SEEGER, A .
MATHEMATISCHE ZEITSCHRIFT, 1995, 218 (03) :417-426
[7]  
STEIN EM, 1993, HARMONIC ANAL REAL V
[8]   RESTRICTIONS OF FOURIER-TRANSFORMS TO QUADRATIC SURFACES AND DECAY OF SOLUTIONS OF WAVE-EQUATIONS [J].
STRICHARTZ, RS .
DUKE MATHEMATICAL JOURNAL, 1977, 44 (03) :705-714
[9]  
TAO T, 1998, COUNTEREXAMPLES N 3
[10]  
VILELA MC, REGULARITY SOLUTIONS