Отправить статью по E-mail 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
- Авторы: Nazaikinskii V.E.1,2, Shafarevich A.I.1,2,3,4
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Учреждения:
- Ishlinsky Institute for Problems in Mechanics
- Moscow Institute of Physics and Technology (State University)
- Faculty of Mechanics and Mathematics
- National Research Center “Kurchatov Institute”
- Выпуск: Том 97, № 2 (2018)
- Страницы: 177-180
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225487
- DOI: https://doi.org/10.1134/S1064562418020217
- ID: 225487
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Аннотация
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.
Об авторах
V. Nazaikinskii
Ishlinsky Institute for Problems in Mechanics; Moscow Institute of Physics and Technology (State University)
Автор, ответственный за переписку.
Email: nazaikinskii@googlemail.com
Россия, Moscow, 119526; Dolgoprudnyi, Moscow oblast, 141700
A. 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
Россия, Moscow, 119526; Dolgoprudnyi, Moscow oblast, 141700; Moscow, 119991; Moscow, 123182
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