Browsing by Author "Kleemann, Norbert"
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- ItemShape derivatives in Kondratiev spaces for conical diffraction(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2010) Kleemann, NorbertThis paper studies conical diffraction problems with non-smooth grating structures. We prove existence, uniqueness and regularity results for solutions in weighted Sobolev spaces of Kondratiev type. An a priori estimate, which follows from these results, is then used to prove shape differentiablility of solutions. Finally, a characterization of the shape derivative as a solution of a modified transmission problem is given.