Hörmander Spaces, Interpolation, and Elliptic Problems

Vladimir A. Mikhailets

ISBN 10: 3110296853 / ISBN 13: 9783110296853

Published by De Gruyter, De Gruyter Apr 2014, 2014

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -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 was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics.While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community.Please submit any book proposals to Niels Jacob.Walter de Gruyter GmbH, Genthiner Strasse 13, 10785 Berlin 310 pp. Englisch.

Seller Inventory # 9783110296853

Bibliographic Details

• Title: Hörmander Spaces, Interpolation, and Elliptic Problems
• Publisher: De Gruyter, De Gruyter Apr 2014
• Publication Date: 2014
• Language: English
• ISBN 10: 3110296853
• ISBN 13: 9783110296853
• Binding: Buch
• Condition: Neu
• Dimensions: 246W x 175H x 23D millimeters 246 millimeters width by 175 millimeters height by 23 millimeters depth
• Weight: 707 grams

About this title

Synopsis

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.

About the Author

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