On the Foundations of Nonlinear Generalized Functions I and II

On the Foundations of Nonlinear Generalized Functions I and II
Author :
Publisher : American Mathematical Soc.
Total Pages : 113
Release :
ISBN-10 : 9780821827291
ISBN-13 : 0821827294
Rating : 4/5 (91 Downloads)

Book Synopsis On the Foundations of Nonlinear Generalized Functions I and II by : Michael Grosser

Download or read book On the Foundations of Nonlinear Generalized Functions I and II written by Michael Grosser and published by American Mathematical Soc.. This book was released on 2001 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: In part 1 of this title the authors construct a diffeomorphism invariant (Colombeau-type) differential algebra canonically containing the space of distributions in the sense of L. Schwartz. Employing differential calculus in infinite dimensional (convenient) vector spaces, previous attempts in this direction are unified and completed. Several classification results are achieved and applications to nonlinear differential equations involving singularities are given.


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