Document Zbl 0688.35020

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Résolution des problèmes de Helmholtz par séparation des variables en coordonnées polaires. (On the solution of Helmholtz problems by separation of variables in polar coordinates). (French) Zbl 0688.35020

C. R. Acad. Sci., Paris, Sér. I 309, No. 2, 105-109 (1989).

Summary: Using the separation of variables in polar coordinates, we solve many problems with boundary conditions, and scattering problems linked to the Helmholtz equation with radiation Sommerfeld condition for very general open sets.

Cited in 1 Document

MSC:

35J05	Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35P25	Scattering theory for PDEs

Keywords:

separation of variables; polar coordinates; Helmholtz equation; Sommerfeld condition

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