An introduction to involutive structures:
Detailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five years in the subject. One of the key tools of the subject - the Baouendi-Treves approximation theorem - is proved for many function spaces. This in t...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2008
|
| Schriftenreihe: | New mathematical monographs
6 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Detailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five years in the subject. One of the key tools of the subject - the Baouendi-Treves approximation theorem - is proved for many function spaces. This in turn is applied to questions in partial differential equations and several complex variables. Many basic problems such as regularity, unique continuation and boundary behaviour of the solutions are explored. The local solvability of systems of partial differential equations is studied in some detail. The book provides a solid background for others new to the field and also contains a treatment of many recent results which will be of interest to researchers in the subject |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xii, 392 pages) |
| ISBN: | 9780511543067 |
| DOI: | 10.1017/CBO9780511543067 |
Internformat
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| 245 | 1 | 0 | |a An introduction to involutive structures |c Shiferaw Berhanu, Paulo D. Cordaro, Jorge Hounie |
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| 505 | 8 | |a Locally integrable structures -- The Baouendi-Treves approximation formula -- Sussmann's orbits and unique continuation -- Local solvability of vector fields -- The FBI transform and some applications -- Some boundary properties of solutions -- The differential complex associated with a formally integrable structure -- Local solvability in locally integrable structures -- Hardy space lemmas | |
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| 650 | 4 | |a Vector fields | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Bivectors | |
| 650 | 4 | |a Approximation theory | |
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Datensatz im Suchindex
| _version_ | 1804176884308639744 |
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| any_adam_object | |
| author | Berhanu, Shiferaw |
| author_facet | Berhanu, Shiferaw |
| author_role | aut |
| author_sort | Berhanu, Shiferaw |
| author_variant | s b sb |
| building | Verbundindex |
| bvnumber | BV043941970 |
| classification_rvk | SK 540 |
| collection | ZDB-20-CBO |
| contents | Locally integrable structures -- The Baouendi-Treves approximation formula -- Sussmann's orbits and unique continuation -- Local solvability of vector fields -- The FBI transform and some applications -- Some boundary properties of solutions -- The differential complex associated with a formally integrable structure -- Local solvability in locally integrable structures -- Hardy space lemmas |
| ctrlnum | (ZDB-20-CBO)CR9780511543067 (OCoLC)850829837 (DE-599)BVBBV043941970 |
| dewey-full | 515.63 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.63 |
| dewey-search | 515.63 |
| dewey-sort | 3515.63 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511543067 |
| format | Electronic eBook |
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| id | DE-604.BV043941970 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511543067 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350940 |
| oclc_num | 850829837 |
| open_access_boolean | |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xii, 392 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | New mathematical monographs |
| spelling | Berhanu, Shiferaw Verfasser aut An introduction to involutive structures Shiferaw Berhanu, Paulo D. Cordaro, Jorge Hounie Cambridge Cambridge University Press 2008 1 online resource (xii, 392 pages) txt rdacontent c rdamedia cr rdacarrier New mathematical monographs 6 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Locally integrable structures -- The Baouendi-Treves approximation formula -- Sussmann's orbits and unique continuation -- Local solvability of vector fields -- The FBI transform and some applications -- Some boundary properties of solutions -- The differential complex associated with a formally integrable structure -- Local solvability in locally integrable structures -- Hardy space lemmas Detailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five years in the subject. One of the key tools of the subject - the Baouendi-Treves approximation theorem - is proved for many function spaces. This in turn is applied to questions in partial differential equations and several complex variables. Many basic problems such as regularity, unique continuation and boundary behaviour of the solutions are explored. The local solvability of systems of partial differential equations is studied in some detail. The book provides a solid background for others new to the field and also contains a treatment of many recent results which will be of interest to researchers in the subject Vector fields Differential equations, Partial Bivectors Approximation theory Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Vektorfeld (DE-588)4139571-2 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Vektorfeld (DE-588)4139571-2 s Approximationstheorie (DE-588)4120913-8 s 1\p DE-604 Cordaro, Paulo D. Sonstige oth Hounie, Jorge Sonstige oth Erscheint auch als Druckausgabe 978-0-521-87857-9 https://doi.org/10.1017/CBO9780511543067 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Berhanu, Shiferaw An introduction to involutive structures Locally integrable structures -- The Baouendi-Treves approximation formula -- Sussmann's orbits and unique continuation -- Local solvability of vector fields -- The FBI transform and some applications -- Some boundary properties of solutions -- The differential complex associated with a formally integrable structure -- Local solvability in locally integrable structures -- Hardy space lemmas Vector fields Differential equations, Partial Bivectors Approximation theory Partielle Differentialgleichung (DE-588)4044779-0 gnd Approximationstheorie (DE-588)4120913-8 gnd Vektorfeld (DE-588)4139571-2 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4120913-8 (DE-588)4139571-2 |
| title | An introduction to involutive structures |
| title_auth | An introduction to involutive structures |
| title_exact_search | An introduction to involutive structures |
| title_full | An introduction to involutive structures Shiferaw Berhanu, Paulo D. Cordaro, Jorge Hounie |
| title_fullStr | An introduction to involutive structures Shiferaw Berhanu, Paulo D. Cordaro, Jorge Hounie |
| title_full_unstemmed | An introduction to involutive structures Shiferaw Berhanu, Paulo D. Cordaro, Jorge Hounie |
| title_short | An introduction to involutive structures |
| title_sort | an introduction to involutive structures |
| topic | Vector fields Differential equations, Partial Bivectors Approximation theory Partielle Differentialgleichung (DE-588)4044779-0 gnd Approximationstheorie (DE-588)4120913-8 gnd Vektorfeld (DE-588)4139571-2 gnd |
| topic_facet | Vector fields Differential equations, Partial Bivectors Approximation theory Partielle Differentialgleichung Approximationstheorie Vektorfeld |
| url | https://doi.org/10.1017/CBO9780511543067 |
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