Functional Analysis and Applications Seminar 

18/11/2005, 15:00 — 16:00 — Room P3.10, Mathematics Building
David Kapanadze, A. Razmadze Mathematical Institute, Academy of Sciences, Tbilisi, Georgia

Wave diffraction by a strip with first and second kind boundary conditions: the real wave number case

We prove unique existence of solution for a class of plane wave diffraction problems by a strip with first and second kind boundary conditions. This is done in a Bessel potential spaces framework, and for a real (non-complex) wave number. At the end, results about the regularity (and data dependence) of the solution are exhibited upon the initial setting and the boundary parameters.