Regularity of solutions to the free Schrodinger equation with radial initial data

被引:34
作者
Vilela, MC [1 ]
机构
[1] Univ Basque Country, Fac Ciencias, Dept Matemat, EHU, Bilbao 48080, Spain
关键词
D O I
10.1215/ijm/1258138345
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We derive weighted smoothing inequalities for solutions of the free Schrodinger equation. As an application, we give a new proof of the endpoint Strichartz estimates in the radial case, We also consider general dispersive equations and obtain similar estimates in this case.
引用
收藏
页码:361 / 370
页数:10
相关论文
共 19 条
[1]   ASYMPTOTIC PROPERTIES OF SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH SIMPLE CHARACTERISTICS [J].
AGMON, S ;
HORMANDER, L .
JOURNAL D ANALYSE MATHEMATIQUE, 1976, 30 :1-38
[2]   Global wellposedness of defocusing critical nonlinear Schrodinger equation in the radial case [J].
Bourgain, J .
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 12 (01) :145-171
[3]   THE CAUCHY-PROBLEM FOR THE NONLINEAR SCHRODINGER-EQUATION IN H-1 [J].
CAZENAVE, T ;
WEISSLER, FB .
MANUSCRIPTA MATHEMATICA, 1988, 61 (04) :477-494
[4]  
Constantin P., 1988, J AM MATH SOC, V1, P413
[5]   THE GLOBAL CAUCHY-PROBLEM FOR THE NON-LINEAR SCHRODINGER-EQUATION REVISITED [J].
GINIBRE, J ;
VELO, G .
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1985, 2 (04) :309-327
[6]  
Hormander L., 1983, Fundamental Principles of Mathematical Sciences, V257
[7]   Endpoint Strichartz estimates [J].
Keel, M ;
Tao, T .
AMERICAN JOURNAL OF MATHEMATICS, 1998, 120 (05) :955-980
[8]   SMALL SOLUTIONS TO NONLINEAR SCHRODINGER-EQUATIONS [J].
KENIG, CE ;
PONCE, G ;
VEGA, L .
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1993, 10 (03) :255-288
[9]   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
[10]   REGULARITY OF SOLUTIONS TO THE SCHRODINGER-EQUATION [J].
SJOLIN, P .
DUKE MATHEMATICAL JOURNAL, 1987, 55 (03) :699-715