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Pseudodifferential and Singular Integral Operators: An Introduction with Applications (De Gruyter Textbook) - Tapa blanda

Abels, Helmut

 
9783110250305: Pseudodifferential and Singular Integral Operators: An Introduction with Applications (De Gruyter Textbook)
Tapa blanda
ISBN 10: 3110250306 ISBN 13: 9783110250305
Editorial: De Gruyter, 2011

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Helmut Abels, University of Regensburg, Germany.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
De Gruyter
Año de publicación
2011
Idioma
Inglés
ISBN 10 
3110250306
ISBN 13 
9783110250305
Encuadernación
Tapa blanda
Número de edición
1
Número de páginas
222
Contacto del fabricante
Walter de Gruyter GmbH
productsafety@degruyterbrill.com

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