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Algebra i Analiz, 2007, Volume 19, Issue 6, Pages 200–219 (Mi aa153)  
This article is cited in 1 scientific paper (total in 1 paper)

Research Papers

Solution of the Hadamard problem in the class of stepwise gauge-equivalent deformations of homogeneous differential operators with constant coefficients

S. P. Khekalo

Kolomna State Pedagogical Institute
Full-text PDF (313 kB) Citations (1)
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Abstract: In the paper, all nontrivial Huygens stepwise gauge-equivalent deformations for a priori Huygens homogeneous differential operators with constant coefficients are described explicitly. A condition is obtained under which an operator in the class of stepwise gauge-equivalent operators is Huygens, and new examples are given of iso-Huygens deformations of radial homogeneous differential operators of higher order.
Keywords: Hadamard problem, Huygens principle, homogeneous operators, deformations, Riesz kernels, gauge equivalence, stepwise gauge equivalence.
Received: 21.09.2007
English version:
St. Petersburg Mathematical Journal, 2008, Volume 19, Issue 6, Pages 1015–1028
DOI: https://doi.org/10.1090/S1061-0022-08-01034-0
Bibliographic databases:
Document Type: Article
MSC: Primary 53A04; Secondary 52A40, 52A10
Language: Russian
Citation: S. P. Khekalo, “Solution of the Hadamard problem in the class of stepwise gauge-equivalent deformations of homogeneous differential operators with constant coefficients”, Algebra i Analiz, 19:6 (2007), 200–219; St. Petersburg Math. J., 19:6 (2008), 1015–1028
Citation in format AMSBIB
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\paper Solution of the Hadamard problem in the class of stepwise gauge-equivalent deformations of homogeneous differential operators with constant coefficients
\jour Algebra i Analiz
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\vol 19
\issue 6
\pages 200--219
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\zmath{https://zbmath.org/?q=an:1206.35162}
\elib{https://elibrary.ru/item.asp?id=9942024}
\transl
\jour St. Petersburg Math. J.
\yr 2008
\vol 19
\issue 6
\pages 1015--1028
\crossref{https://doi.org/10.1090/S1061-0022-08-01034-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267497100010}
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  • https://www.mathnet.ru/eng/aa153
  • https://www.mathnet.ru/eng/aa/v19/i6/p200
    • This publication is cited in the following 1 articles:
    1. Polovinkina V M., Polovinkin I.P., Rabeeakh S.A., Applied Mathematics, Computational Science and Mechanics: Current Problems, Journal of Physics Conference Series, 1479, IOP Publishing Ltd, 2020  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Full-text PDF :143
    References:63
    First page:7
     
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