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Exterior Wedge Diffraction Problems with Dirichlet, Neumann and Impedance Boundary Conditions

✍ Scribed by L. P. Castro; D. Kapanadze

Publisher
Springer Netherlands
Year
2008
Tongue
English
Weight
559 KB
Volume
110
Category
Article
ISSN
0167-8019

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πŸ“œ SIMILAR VOLUMES

Wave diffraction by a 45 degree wedge se
Wave diffraction by a 45 degree wedge sector with Dirichlet and Neumann boundary conditions
✍ L.P. Castro; D. Kapanadze πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 251 KB

The problems of wave diffraction by a plane angular screen occupying an infinite 45 degree 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

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## Abstract We study the asymptotic behaviour of the solution __u__~__n__~ of a linear elliptic equation posed in a fixed domain Ξ©. The solution __u__~__n__~ is assumed to satisfy a Dirichlet boundary condition on Ξ“~__n__~, where Ξ“~__n__~ is an arbitrary sequence of subsets of βˆ‚Ξ©, and a Neumman bou