On Spectral Theory of Elliptic Operators:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1996
|
| Schriftenreihe: | Operator Theory Advances and Applications
89 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | It is well known that a wealth of problems of different nature, applied as well as purely theoretic, can be reduced to the study of elliptic equations and their eigen-values. During the years many books and articles have been published on this topic, considering spectral properties of elliptic differential operators from different points of view. This is one more book on these properties. This book is devoted to the study of some classical problems of the spectral theory of elliptic differential equations. The reader will find hardly any intersections with the books of Shubin [Sh] or Rempel-Schulze [ReSch] or with the works cited there. This book also has no general information in common with the books by Egorov and Shubin [EgShu], which also deal with spectral properties of elliptic operators. There is nothing here on oblique derivative problems; the reader will meet no pseudodifferential operators. The main subject of the book is the estimates of eigenvalues, especially of the first one, and of eigenfunctions of elliptic operators. The considered problems have in common the approach consisting of the application of the variational principle and some a priori estimates, usually in Sobolev spaces. In many cases, impor tant for physics and mechanics, as well as for geometry and analysis, this rather elementary approach allows one to obtain sharp results |
| Beschreibung: | 1 Online-Ressource (X, 334 p) |
| ISBN: | 9783034890298 9783034898751 |
| DOI: | 10.1007/978-3-0348-9029-8 |
Internformat
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Datensatz im Suchindex
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| author | Egorov, Yuri |
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-9029-8 |
| format | Electronic eBook |
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| id | DE-604.BV042422279 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034890298 9783034898751 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857696 |
| oclc_num | 863760403 |
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| physical | 1 Online-Ressource (X, 334 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1996 |
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| publisher | Birkhäuser Basel |
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| series2 | Operator Theory Advances and Applications |
| spelling | Egorov, Yuri Verfasser aut On Spectral Theory of Elliptic Operators by Yuri Egorov, Vladimir Kondratiev Basel Birkhäuser Basel 1996 1 Online-Ressource (X, 334 p) txt rdacontent c rdamedia cr rdacarrier Operator Theory Advances and Applications 89 It is well known that a wealth of problems of different nature, applied as well as purely theoretic, can be reduced to the study of elliptic equations and their eigen-values. During the years many books and articles have been published on this topic, considering spectral properties of elliptic differential operators from different points of view. This is one more book on these properties. This book is devoted to the study of some classical problems of the spectral theory of elliptic differential equations. The reader will find hardly any intersections with the books of Shubin [Sh] or Rempel-Schulze [ReSch] or with the works cited there. This book also has no general information in common with the books by Egorov and Shubin [EgShu], which also deal with spectral properties of elliptic operators. There is nothing here on oblique derivative problems; the reader will meet no pseudodifferential operators. The main subject of the book is the estimates of eigenvalues, especially of the first one, and of eigenfunctions of elliptic operators. The considered problems have in common the approach consisting of the application of the variational principle and some a priori estimates, usually in Sobolev spaces. In many cases, impor tant for physics and mechanics, as well as for geometry and analysis, this rather elementary approach allows one to obtain sharp results Mathematics Mathematics, general Mathematik Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Elliptischer Differentialoperator (DE-588)4140057-4 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 s Elliptischer Differentialoperator (DE-588)4140057-4 s 1\p DE-604 Kondratiev, Vladimir Sonstige oth https://doi.org/10.1007/978-3-0348-9029-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Egorov, Yuri On Spectral Theory of Elliptic Operators Mathematics Mathematics, general Mathematik Spektraltheorie (DE-588)4116561-5 gnd Elliptischer Differentialoperator (DE-588)4140057-4 gnd |
| subject_GND | (DE-588)4116561-5 (DE-588)4140057-4 |
| title | On Spectral Theory of Elliptic Operators |
| title_auth | On Spectral Theory of Elliptic Operators |
| title_exact_search | On Spectral Theory of Elliptic Operators |
| title_full | On Spectral Theory of Elliptic Operators by Yuri Egorov, Vladimir Kondratiev |
| title_fullStr | On Spectral Theory of Elliptic Operators by Yuri Egorov, Vladimir Kondratiev |
| title_full_unstemmed | On Spectral Theory of Elliptic Operators by Yuri Egorov, Vladimir Kondratiev |
| title_short | On Spectral Theory of Elliptic Operators |
| title_sort | on spectral theory of elliptic operators |
| topic | Mathematics Mathematics, general Mathematik Spektraltheorie (DE-588)4116561-5 gnd Elliptischer Differentialoperator (DE-588)4140057-4 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Spektraltheorie Elliptischer Differentialoperator |
| url | https://doi.org/10.1007/978-3-0348-9029-8 |
| work_keys_str_mv | AT egorovyuri onspectraltheoryofellipticoperators AT kondratievvladimir onspectraltheoryofellipticoperators |