Hörmander Spaces, Interpolation, and Elliptic Problems / / Vladimir A. Mikhailets, Aleksandr A. Murach.
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...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2014] ©2014 |
Year of Publication: | 2014 |
Language: | English |
Series: | De Gruyter Studies in Mathematics ,
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Mikhailets, Vladimir A., author. aut http://id.loc.gov/vocabulary/relators/aut Hörmander Spaces, Interpolation, and Elliptic Problems / Vladimir A. Mikhailets, Aleksandr A. Murach. Berlin ; Boston : De Gruyter, [2014] ©2014 1 online resource (297 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Studies in Mathematics , 0179-0986 ; 60 Frontmatter -- Preface -- Preface to the English edition -- Acknowledgements -- Contents -- Introduction -- Chapter 1. Interpolation and Hörmander spaces -- Chapter 2. Hörmander spaces on closed manifolds and their applications -- Chapter 3. Semihomogeneous elliptic boundary-value problems -- Chapter 4. Inhomogeneous elliptic boundary-value problems -- Chapter 5. Elliptic systems -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Elliptic operators. Partial differential operators. Elliptic Problems. Hörmander Spaces. Interpolation. elliptic boundary value problems. general elliptic operators. MATHEMATICS / Functional Analysis. bisacsh Malyshev, Peter V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Murach, Aleksandr A., author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package 9783110494938 ZDB-23-GSM Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA Title is part of eBook package: De Gruyter EBOOK PACKAGE Complete Package 2014 9783110369526 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics, Physics 2014 9783110370355 ZDB-23-DEM EPUB 9783110369069 print 9783110296853 https://doi.org/10.1515/9783110296891 https://www.degruyter.com/isbn/9783110296891 Cover https://www.degruyter.com/document/cover/isbn/9783110296891/original |
language |
English |
format |
eBook |
author |
Mikhailets, Vladimir A., Mikhailets, Vladimir A., Murach, Aleksandr A., |
spellingShingle |
Mikhailets, Vladimir A., Mikhailets, Vladimir A., Murach, Aleksandr A., Hörmander Spaces, Interpolation, and Elliptic Problems / De Gruyter Studies in Mathematics , Frontmatter -- Preface -- Preface to the English edition -- Acknowledgements -- Contents -- Introduction -- Chapter 1. Interpolation and Hörmander spaces -- Chapter 2. Hörmander spaces on closed manifolds and their applications -- Chapter 3. Semihomogeneous elliptic boundary-value problems -- Chapter 4. Inhomogeneous elliptic boundary-value problems -- Chapter 5. Elliptic systems -- Bibliography -- Index |
author_facet |
Mikhailets, Vladimir A., Mikhailets, Vladimir A., Murach, Aleksandr A., Malyshev, Peter V., Malyshev, Peter V., Murach, Aleksandr A., Murach, Aleksandr A., |
author_variant |
v a m va vam v a m va vam a a m aa aam |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Malyshev, Peter V., Malyshev, Peter V., Murach, Aleksandr A., Murach, Aleksandr A., |
author2_variant |
p v m pv pvm p v m pv pvm a a m aa aam |
author2_role |
MitwirkendeR MitwirkendeR VerfasserIn VerfasserIn |
author_sort |
Mikhailets, Vladimir A., |
title |
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_auth |
Hörmander Spaces, Interpolation, and Elliptic Problems / |
title_alt |
Frontmatter -- Preface -- Preface to the English edition -- Acknowledgements -- Contents -- Introduction -- Chapter 1. Interpolation and Hörmander spaces -- Chapter 2. Hörmander spaces on closed manifolds and their applications -- Chapter 3. Semihomogeneous elliptic boundary-value problems -- Chapter 4. Inhomogeneous elliptic boundary-value problems -- Chapter 5. Elliptic systems -- Bibliography -- Index |
title_new |
Hörmander Spaces, Interpolation, and Elliptic Problems / |
title_sort |
hörmander spaces, interpolation, and elliptic problems / |
series |
De Gruyter Studies in Mathematics , |
series2 |
De Gruyter Studies in Mathematics , |
publisher |
De Gruyter, |
publishDate |
2014 |
physical |
1 online resource (297 p.) Issued also in print. |
contents |
Frontmatter -- Preface -- Preface to the English edition -- Acknowledgements -- Contents -- Introduction -- Chapter 1. Interpolation and Hörmander spaces -- Chapter 2. Hörmander spaces on closed manifolds and their applications -- Chapter 3. Semihomogeneous elliptic boundary-value problems -- Chapter 4. Inhomogeneous elliptic boundary-value problems -- Chapter 5. Elliptic systems -- Bibliography -- Index |
isbn |
9783110296891 9783110494938 9783110238570 9783110238471 9783110637205 9783110369526 9783110370355 9783110369069 9783110296853 |
issn |
0179-0986 ; |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA329 |
callnumber-sort |
QA 3329.42 M538 42014 |
url |
https://doi.org/10.1515/9783110296891 https://www.degruyter.com/isbn/9783110296891 https://www.degruyter.com/document/cover/isbn/9783110296891/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515/.7242 |
dewey-sort |
3515 47242 |
dewey-raw |
515/.7242 |
dewey-search |
515/.7242 |
doi_str_mv |
10.1515/9783110296891 |
oclc_num |
913088348 |
work_keys_str_mv |
AT mikhailetsvladimira hormanderspacesinterpolationandellipticproblems AT malyshevpeterv hormanderspacesinterpolationandellipticproblems AT murachaleksandra hormanderspacesinterpolationandellipticproblems |
status_str |
n |
ids_txt_mv |
(DE-B1597)178732 (OCoLC)913088348 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 Title is part of eBook package: De Gruyter EBOOK PACKAGE Complete Package 2014 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics, Physics 2014 |
is_hierarchy_title |
Hörmander Spaces, Interpolation, and Elliptic Problems / |
container_title |
Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package |
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