Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/17128
Title: | Convolution type operators with symmetry in Bessel potential spaces |
Author: | Castro, Luís Pinheiro de Speck, Frank-Olme |
Keywords: | Convolution type operator Symmetry Factorization Boundary value problem Quadrant Diffraction Explicit solution Sobolev space |
Issue Date: | 25-Feb-2017 |
Publisher: | Springer International Publishing |
Abstract: | Convolution type operators with symmetry appear naturally in boundary value problems for elliptic PDEs in symmetric or symmetrizable domains. They are defined as truncations of translation invariant operators in a scale of Sobolev-like spaces that are convolutionally similar to subspaces of even or odd functionals. The present class, as a basic example, is closely related to the Helmholtz equation in a quadrant, where a possible solution is "symmetrically" extended to a half-plane. Explicit factorization methods allow the representation of resolvent operators in closed analytic form for a large class of boundary conditions including the two-impedance and the oblique derivative problems. Moreover they allow fine results on the regularity and asymptotic behavior of the solutions. |
URI: | http://hdl.handle.net/10773/17128 |
ISBN: | 978-3-319-47077-1 |
Publisher Version: | http://link.springer.com/chapter/10.1007/978-3-319-47079-5_2 |
Appears in Collections: | CIDMA - Capítulo de livro FAAG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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2017_CS_OTAApostprint.pdf | Paper | 530.38 kB | Adobe PDF | View/Open |
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