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A mixed boundary-value problem for the laplace equation

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Abstract

Using the Sommerfeld method we find the Green's function of a mixed boundary-value problem for the Laplace equation in a half-space with circular boundary conditions. A wide class of stationary problems in heat conduction, electrostatics, and elasticity theory reduce to the solution of this problem.

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Literature cited

  1. A. Sommerfeld, Proc. Lond. Math. Soc.,28 (1897).

  2. E. W. Hobson, Cambridge Philisophical Trans.,18, (1900).

  3. S. F. Neustadter, Multiple-Valued Harmonic Functions with Circle as Branch Curve, Univ. Calif. Publ. Math., N. S. (1951).

    Google Scholar 

  4. G. C. Evans, Lectures on Multiple-Valued Harmonic Functions in Space, Univ. Calif. Publ. Math., N. S. (1951).

    Google Scholar 

  5. N. E. Kochin, Collected Works, Vol. 2 [in Russian], Izd. Akad. Nauk SSSR, Moscow-Leningrad (1949).

    Google Scholar 

  6. L. A. Galin, Contact Problems in Elasticity Theory [in Russian], Gostekhizdat (1953).

  7. M. D. Martynenko, Prikl. Mekhan.,6, No. 10 (1970).

  8. I. I. Gel'fand and G. E. Shilov, Generalized Functions and Operations on Them [in Russian], Fizmatgiz (1959).

  9. N. S. Koshlyakov, E. B. Gliner, and M. M. Smirnov, Differential Equations of Mathematical Physics [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  10. V. I. Mossakovskii, in: Scientific Notes of the Institute of Machine Science and Automation, Academy of Sciences of the Ukrainian SSR, Vol. 2, No. 1 [in Russian] (1953).

  11. M. Ya. Leonov, PMM,17, No. 1 (1953).

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Authors and Affiliations

  1. All-Union Scientific-Research Institute of Physicotechnical and Radio Engineering Measurements, USSR

    A. B. Efimov & V. N. Vorob'ev

  2. Computing Center, Academy of Sciences of the USSR, Moscow

    A. B. Efimov & V. N. Vorob'ev

Authors
  1. A. B. Efimov
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  2. V. N. Vorob'ev
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 26, No. 5, pp. 944–947, May, 1974.

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Efimov, A.B., Vorob'ev, V.N. A mixed boundary-value problem for the laplace equation. Journal of Engineering Physics 26, 664–666 (1974). https://doi.org/10.1007/BF00826013

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  • DOI: https://doi.org/10.1007/BF00826013

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