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On wave diffraction by a half‐plane with different face impedances |
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| Authors: | L P Castro D Kapanadze |
| Institution: | 1. Research Unit ‘Matemática e Aplica??es’, University of Aveiro, 3810‐193 Aveiro, PortugalDepartment of Mathematics and Research Unit ‘Matemática e Aplica??es’, University of Aveiro, 3810‐193 Aveiro, Portugal===;2. Research Unit ‘Matemática e Aplica??es’, University of Aveiro, 3810‐193 Aveiro, Portugal |
| Abstract: | The impedance wave diffraction problem by a half‐plane screen is revisited in view of its well‐posedness upon different impedance and wave parameters. The problem is analysed with the help of potential and pseudo‐differential operators. Seven conditions between the impedance and wave numbers are found under which the problem will be well‐posed in Bessel potential spaces. In addition, an improvement of the regularity of the solutions is shown for the previous seven conditions. Copyright © 2006 John Wiley & Sons, Ltd. |
| Keywords: | impedance problem boundary‐value problem Helmholtz equation potential operator pseudo‐differential equation Bessel potential spaces |