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Izvestiya: Mathematics, 2003, Volume 67, Issue 4, Pages 815–836
DOI: https://doi.org/10.1070/IM2003v067n04ABEH000446 (Mi im446) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Iso-Huygens deformations of the Cayley operator by the general Lagnese–Stellmacher potential

S. P. Khekalo

Kolomna State Pedagogical Institute
English version PDF (253 kB) Citations (3)
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DOI: https://doi.org/10.1070/IM2003v067n04ABEH000446
Abstract: We construct and study iso-Huygens deformations of higher-order hyperbolic differential operators on the space of real symmetric matrices. Using the so-called skew symmetries, we introduce intertwining operators, which enable us to express fundamental solutions for these deformations in an explicit form and obtain conditions under which the strong Huygens principle holds for these deformations.
Received: 20.02.2002
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2003, Volume 67, Issue 4, Pages 189–212
DOI: https://doi.org/10.4213/im446
Bibliographic databases:
UDC: 517.944
MSC: 35A08, 35C05, 35Q53, 37K20, 14H70, 35L15
Language: English
Original paper language: Russian
Citation: S. P. Khekalo, “Iso-Huygens deformations of the Cayley operator by the general Lagnese–Stellmacher potential”, Izv. RAN. Ser. Mat., 67:4 (2003), 189–212; Izv. Math., 67:4 (2003), 815–836
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2003v067n04ABEH000446
  • https://www.mathnet.ru/eng/im/v67/i4/p189
    • 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
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    Abstract page:365
    Russian version PDF:185
    English version PDF:11
    References:62
    First page:1
     
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