Please use this identifier to cite or link to this item:
Title: A wave diffraction problem with higher order impedance boundary conditions
Author: Simões, A. M.
Keywords: Helmholtz equation
higher order impedance boundary condition
Bessel potential space
convolution type operator
Fredholm operator
Issue Date: 2022
Publisher: NAUN
Abstract: In this paper, we consider an impedance boundary transmission problem for the Helmholtz equation originated by a problem of wave diffraction by an infinite strip with higher order imperfect boundary conditions. Operator theoretical methods and relations between operators are built to deal with the problem and, as consequence, a transparent interpretation of the problem in an operator theory framework are associated to the problem. In particular, different types of operator relations are exhibited for different types of operators acting between Lebesgue and Sobolev spaces on a finite interval and the positive half-line. All this has consequences in the understanding of the structure of this type of problems. At the end, we describe when the operators associated with the problem enjoy the Fredholm property in terms of the initial space order parameters.
Peer review: yes
DOI: 10.46300/9101.2022.16.12
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

Files in This Item:
File Description SizeFormat 
CC1.pdf1.38 MBAdobe PDFView/Open

Formato BibTex MendeleyEndnote Degois 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.