Marcinkiewicz exponents and jump problem for Beltrami equation

被引:3
作者
Katz D.B. [1 ]
机构
[1] Kazan Federal University, ul. Kremlyovskaya 18, Kazan
关键词
Beltrami equation; boundary-value problem; fractal; Marcinkiewicz exponent; nonrectifiable curve; Riemann problem;
D O I
10.3103/S1066369X17060056
中图分类号
学科分类号
摘要
Marcinkiewicz exponents that were introduced by the author before are applied here to solving boundary-value jump problem on non-rectifiable curve for one special case of the Beltrami equation. © 2017, Allerton Press, Inc.
引用
收藏
页码:37 / 43
页数:6
相关论文
共 50 条
  • [1] The jump problem for certain Beltrami equation on arcs
    Kats B.A.
    Mironova S.R.
    Pogodina A.Y.
    Lobachevskii Journal of Mathematics, 2017, 38 (1) : 44 - 47
  • [2] BELTRAMI EQUATIONS REVISITED: MARCINKIEWICZ EXPONENTS AND PAINLEVE-TYPE THEOREM
    Katz, D. B.
    PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2018, 7 : 39 - 48
  • [3] A Schwarz problem for the generalized Beltrami equation
    Yuksel, Ugur
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2011, 56 (06) : 503 - 511
  • [5] ON HILBERT BOUNDARY VALUE PROBLEM FOR BELTRAMI EQUATION
    Gutlyanskii, Vladimir
    Ryazanov, Vladimir
    Yakubov, Eduard
    Yefimushkin, Artyem
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2020, 45 : 957 - 973
  • [6] Dirichlet problem for the general Beltrami equation in Jordan domains
    Bojarski B.
    Gutlyanskiǐ V.
    Ryazanov V.
    Journal of Mathematical Sciences, 2013, 190 (4) : 525 - 538
  • [7] The Beltrami Equation
    Iwaniec, Tadeusz
    Martin, Gaven
    MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 191 (893) : 1 - +
  • [8] Neumann boundary value problem for the Beltrami equation in a ring domain
    Gencturk, Ilker
    TURKISH JOURNAL OF MATHEMATICS, 2023, 47 (05) : 1573 - 1584
  • [9] The Hilbert boundary value problem for Beltrami equation in Clifford analysis
    Si Zhongwei
    Liang Lina
    Ai Zhenghai
    Jiang Zhihua
    2014 TENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS), 2014, : 343 - 347
  • [10] On the theory of the Beltrami equation
    Ryazanov V.
    Srebro U.
    Yakubov E.
    Ukrainian Mathematical Journal, 2006, 58 (11) : 1786 - 1798