Wiener-Hopf plus Hankel operators in exterior wedge problems for the Helmholtz equation

Mercoledi' 25 gennaio 2012 - Luis Castro


Mercoledi' 25 gennaio 2012 ore 16:30 in 2BC60 il Prof. Luis Castro (Universita' di Aveiro, Portogallo) terra' una conferenza dal titolo "Wiener-Hopf plus Hankel operators in exterior wedge problems for the Helmholtz equation".

We will use Wiener-Hopf plus Hankel operators in a Bessel potential spaces framework to analyse classes of problems of wave diffraction by a plane angular screen occupying an infinite 270 degrees wedge sector. The problems are modelled by the Helmholtz equation subjected to different possible combinations of boundary conditions on the faces of the wedge. Namely, under consideration there will be boundary conditions of Dirichlet-Dirichlet, Neumann-Neumann, Neumann-Dirichlet, impedance-Dirichlet, and impedance-Neumann types. Existence and uniqueness results are proved for all these cases in the weak formulation. In addition, the solutions are provided within the spaces in consideration, and higher regularity of solutions is also obtained in a scale of Bessel potential spaces. The talk is based on a joint work with D. Kapanadze.

Rif. int. M. Lanza de Cristoforis

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