## 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

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.

### MSC:

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