Email this article Analogue of Maslov’s Canonical Operator for Localized Functions and Its Applications to the Description of Rapidly Decaying Asymptotic Solutions of Hyperbolic Equations and Systems
- Authors: Nazaikinskii V.E.1,2, Shafarevich A.I.1,2,3,4
-
Affiliations:
- Ishlinsky Institute for Problems in Mechanics
- Moscow Institute of Physics and Technology (State University)
- Faculty of Mechanics and Mathematics
- National Research Center “Kurchatov Institute”
- Issue: Vol 97, No 2 (2018)
- Pages: 177-180
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225487
- DOI: https://doi.org/10.1134/S1064562418020217
- ID: 225487
Cite item
Open Access
Access granted
Subscription Access
Abstract
An analogue of Maslov’s canonical operator for rapidly decaying functions is defined. The construction generalizes the ∂/∂τ-canonical operator on homogeneous manifolds from distributions to smooth localized functions. The main novelty is that the wave profile must be specified explicitly.
About the authors
V. E. Nazaikinskii
Ishlinsky Institute for Problems in Mechanics; Moscow Institute of Physics and Technology (State University)
Author for correspondence.
Email: nazaikinskii@googlemail.com
Russian Federation, Moscow, 119526; Dolgoprudnyi, Moscow oblast, 141700
A. I. Shafarevich
Ishlinsky Institute for Problems in Mechanics; Moscow Institute of Physics and Technology (State University); Faculty of Mechanics and Mathematics; National Research Center “Kurchatov Institute”
Email: nazaikinskii@googlemail.com
Russian Federation, Moscow, 119526; Dolgoprudnyi, Moscow oblast, 141700; Moscow, 119991; Moscow, 123182
Supplementary files
