Maslov's Canonical Operator in Problems on Localized Asymptotic Solutions of Hyperbolic Equations and Systems

被引：4

作者：

Nazaikinskii, V. E. ^{[1
,2
]}

Shafarevich, A. I. ^{[1
,2
,3
,4
]}

机构：

[1] RAS, Ishlinsky Inst Problems Mech, Moscow 119526, Russia

[2] State Univ, Moscow Inst Phys & Technol, Dolgoprudnyi 141701, Moscow Oblast, Russia

[3] Lomonosov Moscow State Univ, Moscow 119991, Russia

[4] Kurchatov Inst, Natl Res Ctr, Moscow 123182, Russia

来源：

MATHEMATICAL NOTES | 2019年 / 106卷 / 3-4期

基金：

俄罗斯基础研究基金会;

关键词：

hyperbolic equation; hyperbolic system; localized solution; Maslov's canonical operator;

D O I：

10.1134/S0001434619090098

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An analog of Maslov's canonical operator is defined for functions localized in a neighborhood of subsets of positive codimension.

引用

页码：402 / 411

页数：10

共 50 条

[21] Maslov's complex germ and the asymptotic formula for the Gibbs canonical distribution
O. Yu. Shvedov
[J]. Mathematical Notes, 1998, 64 : 537 - 550
[22] Maslov's complex germ and the asymptotic formula for the Gibbs canonical distribution
Shvedov, OY
[J]. MATHEMATICAL NOTES, 1998, 64 (3-4) : 537 - 550
[23] Asymptotic solutions of some hyperbolic nonlinear equations
Vakulenko, S. A.
[J]. DAYS ON DIFFRACTION 2007, 2007, : 143 - 148
[24] Canonical solutions of variational problems and canonical equations of mechanics
Mekhitarian, V. M.
[J]. JOURNAL OF CONTEMPORARY PHYSICS-ARMENIAN ACADEMY OF SCIENCES, 2013, 48 (01) : 1 - 11
[25] Canonical solutions of variational problems and canonical equations of mechanics
V. M. Mekhitarian
[J]. Journal of Contemporary Physics (Armenian Academy of Sciences), 2013, 48 : 1 - 11
[26] CANONICAL MASLOV OPERATOR ON THE ISOTROPIC MANIFOLDS WITH A COMPLEX GERM AND ITS APPLICATIONS TO SPECTRAL PROBLEMS
BELOV, VV
DOBROKHOTOV, SI
[J]. DOKLADY AKADEMII NAUK SSSR, 1988, 298 (05): : 1037 - 1042
[27] ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF SPECIAL INITIAL-VALUE PROBLEMS FOR HYPERBOLIC SYSTEMS OF PARTIAL-DIFFERENTIAL EQUATIONS
BOTTGER, HB
[J]. ARCHIVES OF MECHANICS, 1984, 36 (5-6): : 639 - 660
[28] Maslov’s asymptotic methods in problems of the theory of optical lattices
D. E. Bulychev
[J]. Moscow University Physics Bulletin, 2013, 68 : 351 - 359
[29] Asymptotic solutions to the equations with operator-valued symbols in quantum field theory problems
Maslov, VP
Shvedov, OY
[J]. DOKLADY AKADEMII NAUK, 1996, 349 (04) : 455 - 459
[30] Asymptotic expansions and the Maslov canonical operator in the linear theory of water waves. I. Main constructions and equations for surface gravity waves
Dobrokhotov, SY
Zhevandrov, PN
[J]. RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2003, 10 (01) : 1 - 31

← 1 2 3 4 5 →