Problems in distributions and partial differential equations

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Bibliographische Detailangaben
1. Verfasser: Zuily, Claude (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Amsterdam North-Holland 1988
Schriftenreihe:North-Holland mathematics studies 143
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Beschreibung
Beschreibung:Translation of: Problèmes de distributions
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
Includes bibliographical references (p. 241) and indexes
Beschreibung:1 Online-Ressource (245 p.)
ISBN:9780444702487
0444702482
9780080872544
0080872549
1281798088
9781281798084