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Matematicheskie Zametki, 2010, Volume 87, Issue 1, Pages 141–143
DOI: https://doi.org/10.4213/mzm8553 (Mi mzm8553) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Brief Communications

Explicit Formula for the Gradient of a Harmonic Function from Its Analytic Cauchy Data on the Analytic Curve

A. S. Demidov, D. A. Platuschikhin

M. V. Lomonosov Moscow State University
Full-text PDF (316 kB) Citations (7)
References:
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DOI: https://doi.org/10.4213/mzm8553
Keywords: harmonic function, gradient of a harmonic function, Laplace equation, Cauchy problem, analytic curve, 2π-periodic function, Grad–Shafranov equation.
Received: 30.06.2009
English version:
Mathematical Notes, 2010, Volume 87, Issue 1, Pages 135–137
DOI: https://doi.org/10.1134/S0001434610010189
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. S. Demidov, D. A. Platuschikhin, “Explicit Formula for the Gradient of a Harmonic Function from Its Analytic Cauchy Data on the Analytic Curve”, Mat. Zametki, 87:1 (2010), 141–143; Math. Notes, 87:1 (2010), 135–137
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm8553
  • https://doi.org/10.4213/mzm8553
  • https://www.mathnet.ru/eng/mzm/v87/i1/p141
    • This publication is cited in the following 7 articles:
    1. A. S. Demidov, Equations of Mathematical Physics, 2023, 91  crossref
    2. A. S. Demidov, “The Vishik–Lyusternik Method and Two Problems in Magnetohydrodynamics for Plasma in a Tokamak”, J Math Sci, 189:4 (2013), 546  crossref
    3. N. R. Abubakirov, L. A. Aksent'ev, “Inverse boundary value problems in the Cauchy statement for harmonic functions”, Russian Math. (Iz. VUZ), 56:12 (2012), 71–75  mathnet  crossref  mathscinet
    4. Bezrodnykh S.I., Demidov A.S., “On the Uniqueness of Solution Cauchy's Inverse Problem for the Equation Delta U = Au Plus B”, Asymptotic Anal., 74:1-2 (2011), 95–121  crossref  mathscinet  zmath  isi  elib  scopus
    5. A. S. Demidov, “Functional geometric method for solving free boundary problems for harmonic functions”, Russian Math. Surveys, 65:1 (2010), 1–94  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    6. Demidov A.S., Savel'ev V.V., “Essentially different distributions of current in the inverse problem for the Grad-Shafranov equation”, Russ. J. Math. Phys., 17:1 (2010), 56–65  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    7. Demidov A.S., “Inverse problem for the Grad-Shafranov equation with affine right-hand side”, Russ. J. Math. Phys., 17:2 (2010), 145–153  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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