- Tytuł:
- The reactance wave diffraction problem by a strip in a scale of Bessel potential spaces
- Autorzy:
-
Castro, L. P.
Natroshvili, D. - Powiązania:
- https://bibliotekanauki.pl/articles/255627.pdf
- Data publikacji:
- 2006
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Helmholtz equation
boundary-transmission problem
wave diffraction
convolution type operator
Wiener-Hopf operator
Fredholm property
factorization - Opis:
- 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).
- Źródło:
-
Opuscula Mathematica; 2006, 26, 2; 289-303
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł