Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Mathematics of the USSR-Izvestiya, 1988, Volume 30, Issue 3, Pages 615–628
DOI: https://doi.org/10.1070/IM1988v030n03ABEH001033
(Mi im1313)
 

This article is cited in 3 scientific papers (total in 3 papers)

On normal forms of nonsmoothness of solutions of hyperbolic equations

A. N. Varchenko
References:
Abstract: Special functions are indicated that describe the smoothness asymptotics of the fundamental solution of a strictly hyperbolic equation in a neighborhood of the wave front set (assuming finite multiplicity of the critical points of the generating function). The special functions are given in the form of integrals of closed differential forms over (generally speaking, relative) homology classes of a complex manifold that depends on a point outside the wave front set.
Bibliography: 24 titles.
Received: 16.04.1985
Bibliographic databases:
UDC: 517.4
MSC: Primary 35L67; Secondary 33A70
Language: English
Original paper language: Russian
Citation: A. N. Varchenko, “On normal forms of nonsmoothness of solutions of hyperbolic equations”, Math. USSR-Izv., 30:3 (1988), 615–628
Citation in format AMSBIB
\Bibitem{Var87}
\by A.~N.~Varchenko
\paper On~normal forms of nonsmoothness of solutions of hyperbolic equations
\jour Math. USSR-Izv.
\yr 1988
\vol 30
\issue 3
\pages 615--628
\mathnet{http://mi.mathnet.ru//eng/im1313}
\crossref{https://doi.org/10.1070/IM1988v030n03ABEH001033}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=903628}
\zmath{https://zbmath.org/?q=an:0699.35172|0646.35054}
Linking options:
  • https://www.mathnet.ru/eng/im1313
  • https://doi.org/10.1070/IM1988v030n03ABEH001033
  • https://www.mathnet.ru/eng/im/v51/i3/p652
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024