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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| Format: | eBook |
| Language: | English |
| Published: |
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.
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| Series: | North-Holland mathematics studies ;
143. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Translation of: Problèmes de distributions. |
| Physical Description: | 1 online resource (245 pages) |
| Bibliography: | Includes bibliographical references (page 241) and indexes. |
| ISBN: | 9780444702487 0444702482 9780080872544 0080872549 1281798088 9781281798084 |