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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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 |
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doaj-6ef4a4e347504007b910182206c33e6c2020-11-25T00:00:46ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-06-01201287,120Generalized Heaviside functions in the Colombeau theory contextFrancisco VillarrealWe 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 functions context. http://ejde.math.txstate.edu/Volumes/2012/87/abstr.htmlGeneralized functionHeaviside functiondistribution |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Francisco Villarreal |
| spellingShingle |
Francisco Villarreal Generalized Heaviside functions in the Colombeau theory context Electronic Journal of Differential Equations Generalized function Heaviside function distribution |
| author_facet |
Francisco Villarreal |
| author_sort |
Francisco Villarreal |
| title |
Generalized Heaviside functions in the Colombeau theory context |
| title_short |
Generalized Heaviside functions in the Colombeau theory context |
| title_full |
Generalized Heaviside functions in the Colombeau theory context |
| title_fullStr |
Generalized Heaviside functions in the Colombeau theory context |
| title_full_unstemmed |
Generalized Heaviside functions in the Colombeau theory context |
| title_sort |
generalized heaviside functions in the colombeau theory context |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2012-06-01 |
| description |
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 functions context. |
| topic |
Generalized function Heaviside function distribution |
| url |
http://ejde.math.txstate.edu/Volumes/2012/87/abstr.html |
| work_keys_str_mv |
AT franciscovillarreal generalizedheavisidefunctionsinthecolombeautheorycontext |
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