Hörmander spaces, interpolation, and elliptic problems:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin
De Gruyter
[2014]
|
| Schriftenreihe: | De Gruyter studies in mathematics
60 |
| Schlagworte: | |
| Online-Zugang: | URL des Erstveröffentlichers |
| Beschreibung: | The monograph gives a detailed exposition of the theory of general elliptic operators (scalar and matrix) and elliptic boundary value problems in Hilbert scales of Hörmander function spaces. This theory was constructed by the authors in a number of papers published in 2005–2009. It is distinguished by a systematic use of the method of interpolation with a functional parameter of abstract Hilbert spaces and Sobolev inner product spaces. This method, the theory and their applications are expounded for the first time in the monographic literature. The monograph is written in detail and in a reader-friendly style. The complete proofs of theorems are given. This monograph is intended for a wide range of mathematicians whose research interests concern with mathematical analysis and differential equations |
| Beschreibung: | 1 Online-Ressource (xii,297p.) |
| ISBN: | 9783110296891 9783110296853 9783110296907 |
| DOI: | 10.1515/9783110296891 |
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| 500 | |a The monograph gives a detailed exposition of the theory of general elliptic operators (scalar and matrix) and elliptic boundary value problems in Hilbert scales of Hörmander function spaces. This theory was constructed by the authors in a number of papers published in 2005–2009. It is distinguished by a systematic use of the method of interpolation with a functional parameter of abstract Hilbert spaces and Sobolev inner product spaces. This method, the theory and their applications are expounded for the first time in the monographic literature. The monograph is written in detail and in a reader-friendly style. The complete proofs of theorems are given. This monograph is intended for a wide range of mathematicians whose research interests concern with mathematical analysis and differential equations | ||
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| 650 | 4 | |a Mathematik | |
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Datensatz im Suchindex
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| author | Mychajlecʹ, Volodymyr Andrijovyč Murač, Oleksandr Oleksandrovyč |
| author_GND | (DE-588)1053351526 (DE-588)1053351682 |
| author_facet | Mychajlecʹ, Volodymyr Andrijovyč Murač, Oleksandr Oleksandrovyč |
| author_role | aut aut |
| author_sort | Mychajlecʹ, Volodymyr Andrijovyč |
| author_variant | v a m va vam o o m oo oom |
| building | Verbundindex |
| bvnumber | BV042348791 |
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| ctrlnum | (OCoLC)879605933 (DE-599)BVBBV042348791 |
| dewey-full | 515/.7242 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.7242 |
| dewey-search | 515/.7242 |
| dewey-sort | 3515 47242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9783110296891 |
| format | Electronic eBook |
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| id | DE-604.BV042348791 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-19T17:39:47Z |
| institution | BVB |
| isbn | 9783110296891 9783110296853 9783110296907 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027785271 |
| oclc_num | 879605933 |
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| physical | 1 Online-Ressource (xii,297p.) |
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| publishDate | 2014 |
| publishDateSearch | 2014 |
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| publisher | De Gruyter |
| record_format | marc |
| series | De Gruyter studies in mathematics |
| series2 | De Gruyter studies in mathematics |
| spelling | Mychajlecʹ, Volodymyr Andrijovyč (DE-588)1053351526 aut Hörmander spaces, interpolation, and elliptic problems Vladimir A. Mikhailets, Aleksandr A. Murach Berlin De Gruyter [2014] © 2014 1 Online-Ressource (xii,297p.) txt rdacontent c rdamedia cr rdacarrier De Gruyter studies in mathematics 60 The monograph gives a detailed exposition of the theory of general elliptic operators (scalar and matrix) and elliptic boundary value problems in Hilbert scales of Hörmander function spaces. This theory was constructed by the authors in a number of papers published in 2005–2009. It is distinguished by a systematic use of the method of interpolation with a functional parameter of abstract Hilbert spaces and Sobolev inner product spaces. This method, the theory and their applications are expounded for the first time in the monographic literature. The monograph is written in detail and in a reader-friendly style. The complete proofs of theorems are given. This monograph is intended for a wide range of mathematicians whose research interests concern with mathematical analysis and differential equations In English Mathematik Elliptic operators Partial differential operators Elliptisches Randwertproblem (DE-588)4193399-0 gnd rswk-swf Elliptischer Differentialoperator (DE-588)4140057-4 gnd rswk-swf Elliptisches System (DE-588)4121184-4 gnd rswk-swf Elliptischer Differentialoperator (DE-588)4140057-4 s Elliptisches Randwertproblem (DE-588)4193399-0 s Elliptisches System (DE-588)4121184-4 s 1\p DE-604 Murač, Oleksandr Oleksandrovyč (DE-588)1053351682 aut Erscheint auch als Druck-Ausgabe 978-3-11-029685-3 De Gruyter studies in mathematics 60 (DE-604)BV044966417 60 https://doi.org/10.1515/9783110296891 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mychajlecʹ, Volodymyr Andrijovyč Murač, Oleksandr Oleksandrovyč Hörmander spaces, interpolation, and elliptic problems De Gruyter studies in mathematics Mathematik Elliptic operators Partial differential operators Elliptisches Randwertproblem (DE-588)4193399-0 gnd Elliptischer Differentialoperator (DE-588)4140057-4 gnd Elliptisches System (DE-588)4121184-4 gnd |
| subject_GND | (DE-588)4193399-0 (DE-588)4140057-4 (DE-588)4121184-4 |
| title | Hörmander spaces, interpolation, and elliptic problems |
| title_auth | Hörmander spaces, interpolation, and elliptic problems |
| title_exact_search | Hörmander spaces, interpolation, and elliptic problems |
| title_full | Hörmander spaces, interpolation, and elliptic problems Vladimir A. Mikhailets, Aleksandr A. Murach |
| title_fullStr | Hörmander spaces, interpolation, and elliptic problems Vladimir A. Mikhailets, Aleksandr A. Murach |
| title_full_unstemmed | Hörmander spaces, interpolation, and elliptic problems Vladimir A. Mikhailets, Aleksandr A. Murach |
| title_short | Hörmander spaces, interpolation, and elliptic problems |
| title_sort | hormander spaces interpolation and elliptic problems |
| topic | Mathematik Elliptic operators Partial differential operators Elliptisches Randwertproblem (DE-588)4193399-0 gnd Elliptischer Differentialoperator (DE-588)4140057-4 gnd Elliptisches System (DE-588)4121184-4 gnd |
| topic_facet | Mathematik Elliptic operators Partial differential operators Elliptisches Randwertproblem Elliptischer Differentialoperator Elliptisches System |
| url | https://doi.org/10.1515/9783110296891 |
| volume_link | (DE-604)BV044966417 |
| work_keys_str_mv | AT mychajlecʹvolodymyrandrijovyc hormanderspacesinterpolationandellipticproblems AT muracoleksandroleksandrovyc hormanderspacesinterpolationandellipticproblems |