Sobolev estimates for the Radon transform of Melrose and Taylor

被引：0
|
作者：
Comech, A [1 ]
机构：
[1] Columbia Univ, New York, NY 10027 USA
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 1998年 / 51卷 / 05期
关键词：
D O I：
10.1002/(SICI)1097-0312(199805)51:5<537::AID-CPA4>3.3.CO;2-#
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive the regularity properties of the Radon transform of Melrose and Taylor for the scattering on a compact, convex obstacle with a smooth boundary. The result is formulated in terms of the highest order of contact of tangent lines with the boundary of an obstacle. The main ingredients of the proof are the estimates for degenerate oscillatory integral operators and almost orthogonal decompositions. (C) 1998 John Wiley & Sons, Inc.
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页码：537 / 550
页数：14
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