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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 250, Pages 203–218 (Mi znsl651)  
This article is cited in 19 scientific papers (total in 19 papers)

Solving of Vent'sel boundary-value problem for Laplace and Helmholtz equations by iterated potentials

V. V. Lukyanov, A. I. Nazarov

Saint-Petersburg State University
Full-text PDF (223 kB) Citations (19)
Abstract: Using the properties of iterated potentials we transform Vent'sel problem for Laplace and Helmholtz equations to Fredholm equation. The possibility of application of iterated potentials to investigation of the Helmholtz equation with high order boundary condition is shown.
Received: 27.11.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 102, Issue 4, Pages 4265–4274
DOI: https://doi.org/10.1007/BF02673857
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: V. V. Lukyanov, A. I. Nazarov, “Solving of Vent'sel boundary-value problem for Laplace and Helmholtz equations by iterated potentials”, Mathematical problems in the theory of wave propagation. Part 27, Zap. Nauchn. Sem. POMI, 250, POMI, St. Petersburg, 1998, 203–218; J. Math. Sci. (New York), 102:4 (2000), 4265–4274
Citation in format AMSBIB
\Bibitem{LukNaz98}
\by V.~V.~Lukyanov, A.~I.~Nazarov
\paper Solving of Vent'sel boundary-value problem for Laplace and Helmholtz equations by iterated potentials
\inbook Mathematical problems in the theory of wave propagation. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 250
\pages 203--218
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl651}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1701867}
\zmath{https://zbmath.org/?q=an:1071.35513}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 102
\issue 4
\pages 4265--4274
\crossref{https://doi.org/10.1007/BF02673857}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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