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Problems in distributions and partial differential equations /

The aim of this book is to provide a comprehensive introduction to the theory of distributions, by the use of solved problems. Although written for mathematicians, it can also be used by a wider audience, including engineers and physicists. The first six chapters deal with the classical theory, with...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Zuily, Claude, 1945-
Formato: Electrónico eBook
Idioma:Inglés
Francés
Publicado: Amsterdam ; New York : Paris : New York, N.Y., U.S.A. : North-Holland ; Hermann ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1988.
Colección:North-Holland mathematics studies ; 143.
Temas:
Acceso en línea:Texto completo
Texto completo
Texto completo

MARC

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100 1 |a Zuily, Claude,  |d 1945- 
240 1 0 |a Probl�emes de distributions.  |l English 
245 1 0 |a Problems in distributions and partial differential equations /  |c C. Zuily. 
260 |a Amsterdam ;  |a New York :  |b North-Holland ;  |a Paris :  |b Hermann ;  |a New York, N.Y., U.S.A. :  |b Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,  |c 1988. 
300 |a 1 online resource (245 pages) 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a North-Holland mathematics studies ;  |v 143 
520 |a The aim of this book is to provide a comprehensive introduction to the theory of distributions, by the use of solved problems. Although written for mathematicians, it can also be used by a wider audience, including engineers and physicists. The first six chapters deal with the classical theory, with special emphasis on the concrete aspects. The reader will find many examples of distributions and learn how to work with them. At the beginning of each chapter the relevant theoretical material is briefly recalled. The last chapter is a short introduction to a very wide and important field in analysis which can be considered as the most natural application of distributions, namely the theory of partial differential equations. It includes exercises on the classical differential operators and on fundamental solutions, hypoellipticity, analytic hypoellipticity, Sobolev spaces, local solvability, the Cauchy problem, etc. 
500 |a Translation of: Probl�emes de distributions. 
504 |a Includes bibliographical references (page 241) and indexes. 
588 0 |a Print version record. 
505 0 |a Front Cover; Problems in Distributions and Partial Differential Equations; Copyright Page; INTRODUCTION; CONTENTS; Chapter 1. Preliminaries; Chapter 2. Distributions; Chapter 3. Differentiation in the space of distributions; Chapter 4. Convergence in the spaces of distributions; Chapter 5. Convolution of distributions; Chapter 6. Fourier and Laplace transforms of distributions; Chapter 7. Applications; BIBLIOGRAPHY; INDEX; INDEX OF NOTATIONS. 
650 0 |a Theory of distributions (Functional analysis)  |v Problems, exercises, etc. 
650 0 |a Differential equations, Partial  |v Problems, exercises, etc. 
650 0 |a Theory of distributions (Functional analysis) 
650 0 |a Differential equations, Partial. 
650 6 |a Th�eorie des distributions (Analyse fonctionnelle)  |0 (CaQQLa)201-0058588 
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650 7 |a Theory of distributions (Functional analysis)  |2 fast  |0 (OCoLC)fst01149672 
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776 0 8 |i Print version:  |a Zuily, Claude, 1945-  |s Probl�emes de distributions. English.  |t Problems in distributions and partial differential equations.  |d Amsterdam ; New York : North-Holland ; Paris : Hermann ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1988  |z 0444702482  |z 9780444702487  |w (DLC) 90119068  |w (OCoLC)18268703 
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