New representations of the Maslov canonical operator and localized asymptotic solutions for strictly hyperbolic systems

被引:0
|
作者
A. I. Allilueva
S. Yu. Dobrokhotov
S. A. Sergeev
A. I. Shafarevich
机构
[1] Russian Academy of Sciences,Institute for Problems of Mechanics
[2] State University,Moscow Institute of Physics and Technology
[3] Moscow State University,Mechanics and Mathematics Faculty
来源
Doklady Mathematics | 2015年 / 92卷
关键词
Cauchy Problem; Hamiltonian System; Asymptotic Solution; Hyperbolic System; Marked Point;
D O I
暂无
中图分类号
学科分类号
摘要
A procedure for constructing asymptotic solutions of strictly hyperbolic systems of partial differential equations is described in general terms. On the basis of the obtained results, an asymptotic solution of a three-dimensional wave equation with variable velocity is constructed. The case of a cylindrically symmetric velocity is considered.
引用
收藏
页码:548 / 553
页数:5
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