Contribution of periodic diffractive geodesics

被引：15
|
作者：
Hillairet, L [1 ]
机构：
[1] Ecole Normale Super Lyon, UMPA, F-69364 Lyon, France
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2005年 / 226卷 / 01期
关键词：
wave-trace; conical singularities; polygonal billiard;
D O I：
10.1016/j.jfa.2005.04.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
On an euclidean surface with conical singularities, the wave-trace is expected to be singular at L where L is the length of some diffractive periodic geodesic. In this paper, we compute the leading term of the singularity brought to the trace by a regular, isolated diffractive geodesic and by a regular family of periodic non-diffractive geodesic. These results can be applied to polygons. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：48 / 89
页数：42
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