Functional Analysis and Applications Seminar 

09/11/2007, 14:00 — 15:00 — Room P3.10, Mathematics Building
Luís Castro, Universidade de Aveiro

Wave diffraction by a 45 degrees wedge sector with Dirichlet and Neumann boundary conditions

The problems of wave diffraction by a plane angular screen occupying an infinite 45 degrees wedge sector with Dirichlet and/or Neumann boundary conditions are studied in Bessel potential spaces. Existence and uniqueness results are proved in such a framework. The solutions are provided for the spaces in consideration, and higher regularity of solutions are also obtained in a scale of Bessel potential spaces. The talk is based on a joint paper with D. Kapanadze.