Generalized Heaviside functions in the Colombeau theory context

We defined generalized Heaviside functions for a variable x in $mathbb{R}^n$, and for variables (x,t) in $mathbb{R}^nimesmathbb{R}^m$. Then study properties such as: composition, invertibility, and association relation (the weak equality). This work is developed in the Colombeau generalized func...

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Bibliographic Details
Main Author: Francisco Villarreal
Format: Article
Language:English
Published: Texas State University 2012-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/87/abstr.html