Problems in distributions and partial differential equations [E-Book] / C. Zuily.
Zuily, Claude,
Amsterdam ; New York : Paris : New York, N.Y., U.S.A. : North-Holland ; 1988
Hermann ;
Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1 online resource (245 p.)
englisch
9780444702487
0444702482
North-Holland mathematics studies ; 143
Full Text
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.