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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Format: | Article |
Language: | English |
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Texas State University
2012-06-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2012/87/abstr.html |