The Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to a wave equation degenerating on the boundary

被引：21
|
作者：
Nazaikinskii, V. E. [1 ,2 ]
机构：
[1] Russian Acad Sci, Ishlinskii Inst Problems Mech, Moscow, Russia
[2] Moscow Inst Phys & Technol, Dolgoprudnyi, Moscow District, Russia
来源：
MATHEMATICAL NOTES | 2014年 / 96卷 / 1-2期
基金：
俄罗斯基础研究基金会;
关键词：
wave equation; boundary; degeneration; asymptotics; Maslov canonical operator; Lagrangian manifold; LOCALIZED INITIAL DATA; ASYMPTOTIC SOLUTIONS; VELOCITY;
D O I：
10.1134/S0001434614070268
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct the Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to the wave equation in a domain on whose boundary the wave propagation velocity c(x) degenerates as the square root of the distance from the boundary.
引用
收藏
页码：248 / 260
页数：13
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