Elementary Introduction to New Generalized Functions, Volume 113

1st Edition

Authors: J.F. Colombeau
Hardcover ISBN: 9780444877567
eBook ISBN: 9780080872247
Imprint: North Holland
Published Date: 1st January 1985
Page Count: 280
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Description

The author's previous book New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introducednew generalized functions' in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions.

The aim here is to present these functions in a more direct and elementary way. In Part I, the reader is assumed to be familiar only with the concepts of open and compact subsets of R&eegr;, of C∞ functions of several real variables and with some rudiments of integration theory. Part II defines tempered generalized functions, i.e. generalized functions which are, in some sense, increasing at infinity no faster than a polynomial (as well as all their partial derivatives). Part III shows that, in this setting, the partial differential equations have new solutions. The results obtained show that this setting is perfectly adapted to the study of nonlinear partial differential equations, and indicate some new perspectives in this field.


Details

No. of pages:
280
Language:
English
Copyright:
© North Holland 1985
Published:
Imprint:
North Holland
eBook ISBN:
9780080872247
Hardcover ISBN:
9780444877567

About the Authors

J.F. Colombeau Author