the reactance wave diffraction problem by a strip in a scale of bessel potential spaces
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ID: 179162
2006
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Abstract
We consider a boundary-transmission problem for the Helmholtz equation, in a Bessel potential space setting, which arises within the context of wave diffraction theory. The boundary under consideration consists of a strip, and certain reactance conditions are assumed on it. Operator theoretical methods are used to deal with the problem and, as a consequence, several convolution type operators are constructed and associated to the problem. At the end, the well-posedness of the problem is shown for a range of regularity orders of the Bessel potential spaces, and for a set of possible reactance numbers (dependent on the wave number).
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castro2006opusculathe
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| Authors | ;Luís P. Castro;David Natroshvili |
| Journal | zhonghua yi xue za zhi |
| Year | 2006 |
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