Second-order linear elliptic systems on the complex plane
LetSdenote the general second order linear differential operator on the complex plane. It is a well-known fact that the Dirichlet boundary value problem forSon a bounded domainΩwith a smooth boundary, is not always well-posed even whenSis elliptical. This phenomenon led to a homotopic classification...
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| Format: | masterThesis |
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1993
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| Online Access: | http://hdl.handle.net/10725/8055 http://libraries.lau.edu.lb/research/laur/terms-of-use/thesis.php https://dl.acm.org/citation.cfm?id=918950 |
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| _version_ | 1864513483814469632 |
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| author | Habre, Samer Said |
| author_facet | Habre, Samer Said |
| author_role | author |
| dc.creator.none.fl_str_mv | Habre, Samer Said |
| dc.date.none.fl_str_mv | 1993 1993 2018-06-19T06:36:24Z 2018-06-19T06:36:24Z |
| dc.identifier.none.fl_str_mv | http://hdl.handle.net/10725/8055 Habre, S. S. (1993). Second-order linear elliptic systems on the complex plane (Doctoral dissertation, Syracuse University Syracuse). http://libraries.lau.edu.lb/research/laur/terms-of-use/thesis.php https://dl.acm.org/citation.cfm?id=918950 |
| dc.language.none.fl_str_mv | en |
| dc.publisher.none.fl_str_mv | Syracuse University Syracuse |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Differential equations, Elliptic |
| dc.title.none.fl_str_mv | Second-order linear elliptic systems on the complex plane |
| dc.type.none.fl_str_mv | Thesis info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/masterThesis |
| description | LetSdenote the general second order linear differential operator on the complex plane. It is a well-known fact that the Dirichlet boundary value problem forSon a bounded domainΩwith a smooth boundary, is not always well-posed even whenSis elliptical. This phenomenon led to a homotopic classification of elliptic systems. B. Bojarski, a pioneer in this subject, showed that the family of elliptic operators forms an open set in\doubc \sp 6with exactly six components. It follows from his classification that the only components where the Dirichlet problem may be well-posed are the ones represented by the Laplacian or its complex conjugate... |
| eu_rights_str_mv | openAccess |
| format | masterThesis |
| id | LAURepo_355a99b018ddb58f1abeddd8fb9c1d63 |
| identifier_str_mv | Habre, S. S. (1993). Second-order linear elliptic systems on the complex plane (Doctoral dissertation, Syracuse University Syracuse). |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/8055 |
| publishDate | 1993 |
| publisher.none.fl_str_mv | Syracuse University Syracuse |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Second-order linear elliptic systems on the complex planeHabre, Samer SaidDifferential equations, EllipticLetSdenote the general second order linear differential operator on the complex plane. It is a well-known fact that the Dirichlet boundary value problem forSon a bounded domainΩwith a smooth boundary, is not always well-posed even whenSis elliptical. This phenomenon led to a homotopic classification of elliptic systems. B. Bojarski, a pioneer in this subject, showed that the family of elliptic operators forms an open set in\doubc \sp 6with exactly six components. It follows from his classification that the only components where the Dirichlet problem may be well-posed are the ones represented by the Laplacian or its complex conjugate...N/A83 p: illIncludes bibliographical referencesSyracuse University Syracuse2018-06-19T06:36:24Z2018-06-19T06:36:24Z19931993Thesisinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesishttp://hdl.handle.net/10725/8055Habre, S. S. (1993). Second-order linear elliptic systems on the complex plane (Doctoral dissertation, Syracuse University Syracuse).http://libraries.lau.edu.lb/research/laur/terms-of-use/thesis.phphttps://dl.acm.org/citation.cfm?id=918950eninfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/80552025-11-14T14:08:10Z |
| spellingShingle | Second-order linear elliptic systems on the complex plane Habre, Samer Said Differential equations, Elliptic |
| status_str | publishedVersion |
| title | Second-order linear elliptic systems on the complex plane |
| title_full | Second-order linear elliptic systems on the complex plane |
| title_fullStr | Second-order linear elliptic systems on the complex plane |
| title_full_unstemmed | Second-order linear elliptic systems on the complex plane |
| title_short | Second-order linear elliptic systems on the complex plane |
| title_sort | Second-order linear elliptic systems on the complex plane |
| topic | Differential equations, Elliptic |
| url | http://hdl.handle.net/10725/8055 http://libraries.lau.edu.lb/research/laur/terms-of-use/thesis.php https://dl.acm.org/citation.cfm?id=918950 |