Hörmander spaces, interpolation, and elliptic problems / Vladimir A. Mikhailets, Aleksandr A. Murach.

Format:

Book

Author/Creator:

Mikhailets, Vladimir A., author.

Murach, Aleksandr A., author.

Series:

De Gruyter studies in mathematics ; 60.

De Gruyter studies in mathematics, 0179-0986 ; 60

Language:

English

Subjects (All):

Elliptic operators.

Partial differential operators.

Physical Description:

1 online resource (310 p.)

Edition:

1st ed.

Place of Publication:

Berlin : De Gruyter, [2014]

Language Note:

English

Summary:

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

Contents:

Front matter

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

Notes:

Description based upon print version of record.

Includes bibliographical references (pages 275-290) and index.

Description based on print version record.

Description based on publisher supplied metadata and other sources.

ISBN:

9783110296907

311029690X

9783110369069

3110369060

OCLC:

1011462059