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AN ANALOGUE OF THE POISSON FORMULA FOR SOLVING THE HELMHOLTZ EQUATION
- Authors: Savchenko A.O.1
-
Affiliations:
- ICM-MG, SB RAS
- Issue: Vol 64, No 11 (2024)
- Pages: 2155-2159
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0044-4669/article/view/277206
- DOI: https://doi.org/10.31857/S0044466924110106
- EDN: https://elibrary.ru/KGKHKQ
- ID: 277206
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Abstract
Analogs of the Poisson formula for solving internal and external boundary value problems with Dirichlet or Neumann boundary conditions on a sphere for the Helmholtz equation are obtained, in which the kernels of integrals are represented as series.
References
- Тихонов А.Н., Самарский А.А. Уравнения математической физики. М.: Наука, 2004.
- Владимиров В.С. Уравнения математической физики. М.: Наука, 1981.
- Соболев С.Л. Уравнения математической физики. М.: Наука, 1966.
- Oliver F.W., Lozier D.W., Boisvert R.F., Clark C.W. NIST Handbook of mathematical functions. Cambridge Univer. Press, New York, 2010.
- Бабич В.М., Капилевич М.Б., Михлин С.Г. и др. Линейные уравнения математической физики. М.: Наука, 1964.
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