On one boundary-value problem for the Laplace equation

  • I. M. Martynenko


We have derived a Fredholm-type equation of the second kind for a directional derivative problem arising in the stationary theory of heat conduction. One result of Ya. B. Lopatinskii has been refined.


Harmonic Function Laplace Equation Convex Domain Principal Part Follow Boundary Condition 
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  1. 1.
    Ya. B. Lopatinskii, On one boundary problem for harmonic functions, Uch. Zap. L’vovsk. Univ., Ser. Fiz.-Matem. Nauk, 22, Issue 5 (1953).Google Scholar
  2. 2.
    Ya. B. Lopatinskii, Introduction to the Modern Theory of Partial-Differential Equations [in Russian], Naukova Dumka, Kiev (1980).Google Scholar
  3. 3.
    A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1978).Google Scholar
  4. 4.
    V. I. Smirnov, A Course in Higher Mathematics [in Russian], Vol. 4, Nauka, Moscow (1958).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • I. M. Martynenko
    • 1
  1. 1.Belarusian State UniversityMinskBelarus

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