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Problems in Distributions and Partial Differential Equations (Repost)

Posted on 2010-06-18




Name:Problems in Distributions and Partial Differential Equations (Repost)
ASIN/ISBN:0444702482
File size:11.2 Mb
Publisher: Elsevier Science Ltd
ISBN: 0444702482
Publish Date: edition 1988
File Type: PDF
Pages: 246 pages
File Size: 11,2 mb
   Problems in Distributions and Partial Differential Equations (Repost)

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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 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.

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