Pseudodifferential and Singular Integral Operators: An Introduction with Applications

Abels, Helmut

ISBN 10: 3110250306 / ISBN 13: 9783110250305

Verlag: Walter de Gruyter, Berlin/Boston, 2011

Beschreibung

***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Trade paperback (US). Glued binding. 232 p. Contains: Illustrations, black & white. de Gruyter Textbook. Audience: General/trade.

Bestandsnummer des Verkäufers K7080001331

Bibliografische Details

• Titel: Pseudodifferential and Singular Integral Operators: An Introduction with Applications
• Verlag: Walter de Gruyter, Berlin/Boston
• Erscheinungsjahr: 2011
• Sprache: Englisch
• ISBN-10: 3110250306
• ISBN-13: 9783110250305
• Einband: Trade paperback
• Auflage: First edition. INTERNATIONAL EDITION
• Zustand: New in new dust jacket.

Über diesen Titel

Inhaltsangabe

This textbook provides a self-contained and elementary introduction to the modern theory of pseudodifferential operators and their applications to partial differential equations.

In the first chapters, the necessary material on Fourier transformation and distribution theory is presented. Subsequently the basic calculus of pseudodifferential operators on the n-dimensional Euclidean space is developed. In order to present the deep results on regularity questions for partial differential equations, an introduction to the theory of singular integral operators is given - which is of interest for its own. Moreover, to get a wide range of applications, one chapter is devoted to the modern theory of Besov and Bessel potential spaces. In order to demonstrate some fundamental approaches and the power of the theory, several applications to wellposedness and regularity question for elliptic and parabolic equations are presented throughout the book. The basic notation of functional analysis needed in the book is introduced and summarized in the appendix.

The text is comprehensible for students of mathematics and physics with a basic education in analysis.

Über die Autorin bzw. den Autor

Helmut Abels, University of Regensburg, Germany.