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Mathematical Notes

, Volume 106, Issue 3–4, pp 402–411 | Cite as

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

  • V. E. NazaikinskiiEmail author
  • A. I. ShafarevichEmail author
Article

Abstract

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

Keywords

hyperbolic equation hyperbolic system localized solution Maslov's canonical operator 

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Notes

Funding

This work was supported by the Russian Foundation for Basic Research under grant 17-01-00644 and by the program “Leading Scientific Schools” under grant NSh-6399.2018.1.

References

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    V. E. Nazaikinskii and A. I. Shafarevich, “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,” Dokl. Ross. Akad. Nauk 479 (6), 611–615 (2018) [Dokl. Math. 97 (2), 177–180 (2018)].MathSciNetzbMATHGoogle Scholar
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    M. V. Fedoryuk, Saddle-Point Method (Nauka, Moscow, 1977) [in Russian].zbMATHGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Ishlinsky Institute for Problems in Mechanics RASMoscowRussia
  2. 2.Moscow Institute of Physics and Technology (State University)Dolgoprudnyi, Moscow OblastRussia
  3. 3.Lomonosov Moscow State UniversityMoscowRussia
  4. 4.National Research Center “Kurchatov Institute,”MoscowRussia

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