AN ANALOGUE OF THE POISSON FORMULA FOR SOLVING THE HELMHOLTZ EQUATION

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Resumo

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.

Sobre autores

A. Savchenko

ICM-MG, SB RAS

Email: savch@ommfao1.sscc.ru
Novosibirsk, Russia

Bibliografia

  1. Тихонов А.Н., Самарский А.А. Уравнения математической физики. М.: Наука, 2004.
  2. Владимиров В.С. Уравнения математической физики. М.: Наука, 1981.
  3. Соболев С.Л. Уравнения математической физики. М.: Наука, 1966.
  4. Oliver F.W., Lozier D.W., Boisvert R.F., Clark C.W. NIST Handbook of mathematical functions. Cambridge Univer. Press, New York, 2010.
  5. Бабич В.М., Капилевич М.Б., Михлин С.Г. и др. Линейные уравнения математической физики. М.: Наука, 1964.

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