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020 |a 0080872549 
020 |a 9780444702487 
020 |a 9780080872544 
020 |a 1281798088 
020 |a 0444702482 
050 4 |a QA324 
100 1 |a Zuily, Claude 
130 0 |a Problèmes de distributions 
245 0 0 |a Problems in distributions and partial differential equations  |c C. Zuily 
260 |a Amsterdam  |b North-Holland  |c 1988, 1988 
300 |a 245 pages 
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. 
505 0 |a Includes bibliographical references (page 241) and indexes 
653 |a Équations aux dérivées partielles / Problèmes et exercices 
653 |a Differential equations, Partial / http://id.loc.gov/authorities/subjects/sh85037912 
653 |a Théorie des distributions (Analyse fonctionnelle) 
653 |a Differential equations, Partial / fast / (OCoLC)fst00893484 
653 |a Theory of distributions (Functional analysis) / fast / (OCoLC)fst01149672 
653 |a MATHEMATICS / Functional Analysis / bisacsh 
653 |a Theory of distributions (Functional analysis) / Problems, exercises, etc 
653 |a Differential equations, Partial / Problems, exercises, etc 
653 |a Théorie des distributions (Analyse fonctionnelle) / Problèmes et exercices 
653 |a Theory of distributions (Functional analysis) / http://id.loc.gov/authorities/subjects/sh85038549 
653 |a Équations aux dérivées partielles 
041 0 7 |a eng  |2 ISO 639-2 
989 |b ZDB-1-ELC  |a Elsevier eBook collection Mathematics 
490 0 |a North-Holland mathematics studies 
500 |a Translation of: Problèmes de distributions 
776 |z 0080872549 
776 |z 9780080872544 
856 4 0 |u https://www.sciencedirect.com/science/bookseries/03040208/143  |x Verlag  |3 Volltext 
082 0 |a 515/.782 
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