Oscillatory integrals with nonhomogeneous phase functions related to Schrodinger equations

被引：1

作者：

Kolasa, LA ^{[1
]}

机构：

[1] Ryerson Polytech Univ, Toronto, ON, Canada

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1998年 / 41卷 / 03期

关键词：

D O I：

10.4153/CMB-1998-043-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider solutions to the free Schrodinger equation in n + 1 dimensions. When we restrict the last variable to be a smooth function of the first II variables we find that the solution, so restricted. is locally in L-2. when the initial data is in an appropriate Sobolev space.

引用

页码：306 / 317

页数：12

共 12 条

[1] [Anonymous], HARMONIC ANAL
[2] A REMARK ON SCHRODINGER-OPERATORS
BOURGAIN, J
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1992, 77 (1-2) : 1 - 16
[3] Carleson L., 1979, LECT NOTES MATH, V779, P5
[4] Dahlberg C. E., 1982, Harmonic analysis, V908, P205, DOI DOI 10.1007/BFB0093289
[5] GREENLEAF A, 1994, J REINE ANGEW MATH, V455, P35
[6] Hormander L., 1990, GRUNDLEHREN MATH WIS, V256
[7] HORMANDER L, 1971, ARK MATH, V11, P1
[8] A STRONG TYPE (2,2) ESTIMATE FOR A MAXIMAL OPERATOR ASSOCIATED TO THE SCHRODINGER-EQUATION
KENIG, CE
RUIZ, A
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 280 (01) : 239 - 246
[9] Oscillatory integrals and Schrodinger maximal operators
Kolasa, LA
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1997, 177 (01) : 77 - 101
[10] PAN Y, 1990, C MATH, V60, P413

← 1 2 →