The reactance wave diffraction problem by a strip in a scale of Bessel potential spaces

• Autorzy: Castro L. P. , Natroshvili D.
• Języki publikacji: EN

Abstrakty

EN

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).

Słowa kluczowe

EN

Helmholtz equation; boundary-transmission problem; wave diffraction; convolution type operator; Wiener-Hopf operator; Fredholm property; factorization

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2006
• Tom: Vol. 26, no. 2
• Strony: 289--303
• Opis fizyczny: Bibliogr. 21 poz., rys.

Twórcy

autor

Castro L. P.

autor

Natroshvili D.

• University of Aveiro, Department of Mathematics, 3810-193 Aveiro, Portugal,

Bibliografia

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