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Title: The impedance problem of wave diffraction by a strip with higher order boundary conditions

This work is devoted to analyse 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. A constructive approach of operator relations is built, which allows a transparent interpretation of the problem in an operator theory framework. 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. In particular, a Fredholm characterization of the problem is obtained in terms of the initial space order parameters. At the request of the author and the Proceedings Editor the above article has been replaced with a corrected version. The original PDF file supplied to AIP Publishing contained an error in the title of the article. The original title appeared as: 'The Impedance Problem of Wave Diffraction by a trip with Higher Order Boundary Conditions.' This article has been replaced and the title now appears correctly online. The corrected article was published on 8 November 2013.
Authors:
 [1] ;  [2]
  1. Center for Research and Development in Mathematics and Applications (CIDMA) and Department of Mathematics of University of Aveiro, 3810-193 Aveiro (Portugal)
  2. Center for Research and Development in Mathematics and Applications (CIDMA) and Department of Mathematics of University of Beira Interior, 6200-001 Covilhã (Portugal)
Publication Date:
OSTI Identifier:
22280653
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1561; Journal Issue: 1; Conference: AMiTaNS 13: 5. international conference for promoting the application of mathematics in technical and natural sciences, Albena (Bulgaria), 24-29 Jun 2013; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; BOUNDARY CONDITIONS; DIFFRACTION; IMPEDANCE; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; ORDER PARAMETERS; WAVE PROPAGATION