The series De Gruyter Studies in Mathematics was founded in 1982 by the late Professor Heinz Bauer and Professor Peter Gabriel.

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.

The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level.

The series De Gruyter Studies in Mathematics is indexed in MathSciNet (Mathematical Reviews) and Scopus.

Editor-in-Chief

Guozhen Lu, University of Connecticut, USA

Editorial Board

Carstensen Carsten, Humboldt-Universitat zu Berlin, Germany

Gavril Farkas, Humboldt-Universitat zu Berlin, Germany

Nicola Fusco, Università di Napoli "Federico II", Italy

Fritz Gesztesy, Baylor University, USA

Zenghu Li, Beijing Normal University, China

Karl-Hermann Neeb, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany

René L. Schilling, Technische Universität Dresden, Germany

Volkmar Welker, Philipps-Universität Marburg, Germany

Please submit book proposals to Guozhen Lu

Autorentext

V. A. Mikhailets and A. A. Murach, Institute of Mathematics of NAS of Ukraine, Kiev, Ukraine.

Klappentext

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.