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Mathematics of the USSR-Sbornik, 1974, Volume 24, Issue 2, Pages 159–207
DOI: https://doi.org/10.1070/SM1974v024n02ABEH001912
(Mi sm3750)
 

This article is cited in 9 scientific papers (total in 9 papers)

Asymptotic solutions of equations with complex characteristics

V. V. Kucherenko
References:
Abstract: In this paper we give a method for constructing formal asymptotic solutions. This method uses in some sense “approximate solutions” of the equation of the characteristics and the transport equation. The construction of approximate solutions is brought abount by means of an analogue of the analytic Hamiltonian formalism in a complex phase space.
Bibliography: 19 titles.
Received: 07.06.1973
Bibliographic databases:
UDC: 517.9
MSC: Primary 58G99, 35G10, 35J10, 35S10; Secondary 58F05, 35C99, 81A10, 70H99, 78A45
Language: English
Original paper language: Russian
Citation: V. V. Kucherenko, “Asymptotic solutions of equations with complex characteristics”, Math. USSR-Sb., 24:2 (1974), 159–207
Citation in format AMSBIB
\Bibitem{Kuc74}
\by V.~V.~Kucherenko
\paper Asymptotic solutions of equations with complex characteristics
\jour Math. USSR-Sb.
\yr 1974
\vol 24
\issue 2
\pages 159--207
\mathnet{http://mi.mathnet.ru/eng/sm3750}
\crossref{https://doi.org/10.1070/SM1974v024n02ABEH001912}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=367422}
\zmath{https://zbmath.org/?q=an:0311.35007}
Linking options:
  • https://www.mathnet.ru/eng/sm3750
  • https://doi.org/10.1070/SM1974v024n02ABEH001912
  • https://www.mathnet.ru/eng/sm/v137/i2/p163
  • This publication is cited in the following 9 articles:
    1. Johannes Sjöstrand, International Mathematical Series, 13, Around the Research of Vladimir Maz'ya III, 2010, 359  crossref
    2. V. V. Kucherenko, V. P. Maslov, “On the spectra of finite-dimensional quadratic Bose operators”, Math. Notes, 61:6 (1997), 700–716  mathnet  crossref  crossref  mathscinet  zmath  isi
    3. Studies in Mathematics and Its Applications, 23, Singular Perturbations I - Spaces and Singular Perturbations on Manifolds without Boundary, 1990, 533  crossref
    4. Yu. G. Safarov, “Exact asymptotics of the spectrum of a boundary value problem, and periodic billiards”, Math. USSR-Izv., 33:3 (1989), 553–573  mathnet  crossref  mathscinet  zmath
    5. Sternin B., Shatalov V., “Asymptotic Solutions of Differential-Equations When the Motion of the Hamilton Field Is Finite”, Differ. Equ., 23:2 (1987), 220–227  mathnet  mathscinet  zmath  isi
    6. M. V. Karasev, V. P. Maslov, “Asymptotic and geometric quantization”, Russian Math. Surveys, 39:6 (1984), 133–205  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    7. V. E. Nazaikinskii, V. G. Oshmyan, B. Yu. Sternin, V. E. Shatalov, “Fourier integral operators and the canonical operator”, Russian Math. Surveys, 36:2 (1981), 93–161  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    8. A. L. Piatnitski, “A scattering problem in laminar media”, Math. USSR-Sb., 43:3 (1982), 427–441  mathnet  crossref  mathscinet  zmath
    9. M. V. Fedoryuk, “Of Fourier integral operators and the asymptotic behaviour of the solution of the mixed problem”, Russian Math. Surveys, 32:6 (1977), 67–120  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:457
    Russian version PDF:131
    English version PDF:40
    References:60
    First page:2
     
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