Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/14733
Título: | Crack impedance-Dirichlet boundary value problems of diffraction in a half-plane |
Autor: | Castro, L. P. Kapanadze, D. |
Palavras-chave: | Crack Helmholtz equation Wave diffraction Boundary value problem Potential method Fredholm theory Oscillating symbol |
Data: | 2015 |
Editora: | Cambridge Scientific Publishers |
Resumo: | We study two wave diffraction problems modeled by the Helmholtz equation in a half-plane with a crack characterized by Dirichlet and impedance boundary conditions. The existence and uniqueness of solutions is proved by an appropriate combination of general operator theory, Fredholm theory, potential theory and boundary integral equation methods. This combination of methods leads also to integral representations of solutions. Moreover, in Sobolev spaces, a range of smoothness parameters is obtained in which the solutions of the problems are valid. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/14733 |
ISSN: | 2041-3165 |
Versão do Editor: | http://nonlinearstudies.com/index.php/mesa/issue/view/137 |
Aparece nas coleções: | CIDMA - Artigos FAAG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Ca_Ka_MESA2015.pdf | Main article | 93.36 kB | Adobe PDF |
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