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Russian Academy of Sciences. Izvestiya Mathematics, 1994, Volume 43, Issue 1, Pages 161–178
DOI: https://doi.org/10.1070/IM1994v043n01ABEH001555
(Mi im864)
 

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

The Cauchy problem for hyperbolic Monge–Ampère equations

D. V. Tunitsky
References:
Abstract: This article is devoted to Monge–Ampère equations with two independent variables. Here a definition of hyperbolicity is formulated that permits an extension of the class of hyperbolic Monge–Ampère equations and the inclusion of a number of equations with multiple haracteristics in this class. The definition is proved to be invariant under changes of variables. Equations hyperbolic in the sense of the new definition are reduced to corresponding systems in Riemann invariants. The existence and uniqueness of a local solution of the Cauchy problem is proved on the basis of this reduction.
Received: 28.02.1992
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1993, Volume 57, Issue 4, Pages 174–191
Bibliographic databases:
UDC: 517.95
MSC: 35L15, 35L70
Language: English
Original paper language: Russian
Citation: D. V. Tunitsky, “The Cauchy problem for hyperbolic Monge–Ampère equations”, Izv. RAN. Ser. Mat., 57:4 (1993), 174–191; Russian Acad. Sci. Izv. Math., 43:1 (1994), 161–178
Citation in format AMSBIB
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\by D.~V.~Tunitsky
\paper The Cauchy problem for hyperbolic Monge--Amp\`ere equations
\jour Izv. RAN. Ser. Mat.
\yr 1993
\vol 57
\issue 4
\pages 174--191
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1994IzMat..43..161T}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1994
\vol 43
\issue 1
\pages 161--178
\crossref{https://doi.org/10.1070/IM1994v043n01ABEH001555}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PQ58000010}
Linking options:
  • https://www.mathnet.ru/eng/im864
  • https://doi.org/10.1070/IM1994v043n01ABEH001555
  • https://www.mathnet.ru/eng/im/v57/i4/p174
  • 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 Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:326
    Russian version PDF:126
    English version PDF:28
    References:49
    First page:2
     
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