Hörmander Spaces, Interpolation, and Elliptic Problems /

Hörmander Spaces, Interpolation, and Elliptic Problems / / Vladimir A. Mikhailets, Aleksandr A. Murach.

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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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Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
VerfasserIn:
Mikhailets, Vladimir A.,
Murach, Aleksandr A.,
MitwirkendeR:
Malyshev, Peter V.,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2014]
©2014
Year of Publication:2014
Language:English
Series:De Gruyter Studies in Mathematics , 60
Online Access:
Physical Description:1 online resource (297 p.)
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245 1 0 |a Hörmander Spaces, Interpolation, and Elliptic Problems /  |c Vladimir A. Mikhailets, Aleksandr A. Murach. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2014] 
264 4 |c ©2014 
300 |a 1 online resource (297 p.) 
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490 0 |a De Gruyter Studies in Mathematics ,  |x 0179-0986 ;  |v 60 
505 0 0 |t Frontmatter --   |t Preface --   |t Preface to the English edition --   |t Acknowledgements --   |t Contents --   |t Introduction --   |t Chapter 1. Interpolation and Hörmander spaces --   |t Chapter 2. Hörmander spaces on closed manifolds and their applications --   |t Chapter 3. Semihomogeneous elliptic boundary-value problems --   |t Chapter 4. Inhomogeneous elliptic boundary-value problems --   |t Chapter 5. Elliptic systems --   |t Bibliography --   |t Index 
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520 |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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) 
650 0 |a Elliptic operators. 
650 0 |a Partial differential operators. 
650 4 |a Elliptic Problems. 
650 4 |a Hörmander Spaces. 
650 4 |a Interpolation. 
650 4 |a elliptic boundary value problems. 
650 4 |a general elliptic operators. 
650 7 |a MATHEMATICS / Functional Analysis.  |2 bisacsh 
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700 1 |a Murach, Aleksandr A.,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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