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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 6, Pages 44–51 (Mi ivm9247)  

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

Marcinkiewicz exponents and a boundary-value jump problem for Beltrami equation

D. B. Katz

Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (208 kB) Citations (3)
References:
Abstract: The Marcinkiewicz exponents that were introduced by author before are applied here to solving boundary value jump problem on non-rectifiable curve for one special case of the Beltrami equation.
Keywords: Marcinkiewicz exponent, fractal, boundary-value problem, Riemann problem, non-rectifiable curve, Beltrami equation.
Received: 19.12.2015
Revised: 14.02.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 6, Pages 37–43
DOI: https://doi.org/10.3103/S1066369X17060056
Bibliographic databases:
Document Type: Article
UDC: 517.53:517.544
Language: Russian
Citation: D. B. Katz, “Marcinkiewicz exponents and a boundary-value jump problem for Beltrami equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 6, 44–51; Russian Math. (Iz. VUZ), 61:6 (2017), 37–43
Citation in format AMSBIB
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\by D.~B.~Katz
\paper Marcinkiewicz exponents and a boundary-value jump problem for Beltrami equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2017
\issue 6
\pages 44--51
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\yr 2017
\vol 61
\issue 6
\pages 37--43
\crossref{https://doi.org/10.3103/S1066369X17060056}
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Linking options:
  • https://www.mathnet.ru/eng/ivm9247
  • https://www.mathnet.ru/eng/ivm/y2017/i6/p44
  • This publication is cited in the following 3 articles:
    1. J. Bory-Reyes, D. Barseghyan, B. Schneider, “Dirichlet-type problems for certain beltrami equations”, Mediterr. J. Math., 18:3 (2021), 103  crossref  mathscinet  isi  scopus
    2. J. Bory-Reyes, R. Abreu-Blaya, Perez-, M. A. Rosa, B. Schneider, “Integral formulas of the Hilbert, Poincare-Bertrand, Schwarz and Poisson type for the beta-analytic function theory”, J. Math. Anal. Appl., 492:2 (2020), 124493  crossref  mathscinet  zmath  isi  scopus
    3. D. B. Katz, “Beltrami equations revisited: Marcinkiewicz exponents and Painleve-type theorem”, Probl. anal. Issues Anal., 7(25), spetsvypusk (2018), 40–49  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:299
    Full-text PDF :66
    References:67
    First page:11
     
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