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Pseudodifferential and Singular Integral Operators
An Introduction with Applications
Taschenbuch von Helmut Abels
Sprache: Englisch

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Beschreibung
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.
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 den Autor
Helmut Abels, University of Regensburg, Germany.
Zusammenfassung
Exklusives Verkaufsrecht für: Gesamte Welt.
Details
Erscheinungsjahr: 2011
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: De Gruyter Textbook
Inhalt: X
222 S.
10 s/w Illustr.
10 b/w ill.
ISBN-13: 9783110250305
ISBN-10: 3110250306
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Abels, Helmut
Hersteller: De Gruyter
de Gruyter, Walter, GmbH
De Gruyter Textbook
Maße: 240 x 170 x 13 mm
Von/Mit: Helmut Abels
Erscheinungsdatum: 22.12.2011
Gewicht: 0,402 kg
Artikel-ID: 105153424
Über den Autor
Helmut Abels, University of Regensburg, Germany.
Zusammenfassung
Exklusives Verkaufsrecht für: Gesamte Welt.
Details
Erscheinungsjahr: 2011
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: De Gruyter Textbook
Inhalt: X
222 S.
10 s/w Illustr.
10 b/w ill.
ISBN-13: 9783110250305
ISBN-10: 3110250306
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Abels, Helmut
Hersteller: De Gruyter
de Gruyter, Walter, GmbH
De Gruyter Textbook
Maße: 240 x 170 x 13 mm
Von/Mit: Helmut Abels
Erscheinungsdatum: 22.12.2011
Gewicht: 0,402 kg
Artikel-ID: 105153424
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