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http://hdl.handle.net/10773/17128
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Castro, Luís Pinheiro de | pt |
dc.contributor.author | Speck, Frank-Olme | pt |
dc.date.accessioned | 2017-04-03T15:35:10Z | - |
dc.date.available | 2018-07-20T14:00:59Z | - |
dc.date.issued | 2017-02-25 | - |
dc.identifier.isbn | 978-3-319-47077-1 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/17128 | - |
dc.description.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. | pt |
dc.language.iso | eng | pt |
dc.publisher | Springer International Publishing | pt |
dc.relation | FCT/CIDMA - UID/MAT/04106/2013 | pt |
dc.relation | CEAFEL | pt |
dc.rights | openAccess | por |
dc.subject | Convolution type operator | pt |
dc.subject | Symmetry | pt |
dc.subject | Factorization | pt |
dc.subject | Boundary value problem | pt |
dc.subject | Quadrant | pt |
dc.subject | Diffraction | pt |
dc.subject | Explicit solution | pt |
dc.subject | Sobolev space | pt |
dc.title | Convolution type operators with symmetry in Bessel potential spaces | pt |
dc.type | bookPart | pt |
degois.publication.firstPage | 21 | pt |
degois.publication.issue | 2 | pt |
degois.publication.lastPage | 49 | pt |
degois.publication.location | Basel, Switzerland | pt |
degois.publication.title | Recent trends in operator theory and partial differential equations: the Roland Duduchava Anniversary volume | pt |
dc.date.embargo | 2018-02-25T16:00:00Z | - |
dc.relation.publisherversion | http://link.springer.com/chapter/10.1007/978-3-319-47079-5_2 | pt |
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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