✦ LIBER ✦

Wave diffraction by a 45 degree wedge sector with Dirichlet and Neumann boundary conditions

✍ Scribed by L.P. Castro; D. Kapanadze

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 251 KB
Volume: 48
Category: Article
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2007.09.004

No coin nor oath required. For personal study only.

✦ Synopsis

The problems of wave diffraction by a plane angular screen occupying an infinite 45 degree wedge sector with Dirichlet and/or Neumann boundary conditions are studied in Bessel potential spaces. Existence and uniqueness results are proved in such a framework. The solutions are provided for the spaces in consideration, and higher regularity of solutions are also obtained in a scale of Bessel potential spaces.

📜 SIMILAR VOLUMES

Diffraction of a plane elastic wave by a

Diffraction of a plane elastic wave by a wedge with a special form of boundary conditions

✍ S.E. Nosov 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 144 KB

On Green's functions for the reduced wav

On Green's functions for the reduced wave equation in a circular annular domain with dirichlet, Neumann and radiation type boundary conditions

✍ Martinek, Johann ;Thielman, Henry P. 📂 Article 📅 1966 🏛 Springer 🌐 English ⚖ 289 KB

Wave diffraction by a strip with first a

Wave diffraction by a strip with first and second kind boundary conditions: the real wave number case

✍ L. P. Castro; D. Kapanadze 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 162 KB

## Abstract We prove unique existence of solution for a class of plane wave diffraction problems by a strip with first and second kind boundary conditions. This is done in a Bessel potential spaces framework, and for a real (noncomplex) wave number. At the end, results about the regularity (and dat