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Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 011, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.011 (Mi sigma794) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the $n$-Dimensional Porous Medium Diffusion Equation and Global Actions of the Symmetry Group

Jose A. Franco

Department of Mathematics and Statistics, University of North Florida, 1 UNF Drive, Jacksonville, FL 32224 USA
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DOI: https://doi.org/10.3842/SIGMA.2013.011
Abstract: By restricting to a special class of smooth functions, the local action of the symmetry group is globalized. This special class of functions is constructed using parabolic induction.
Keywords: globalization; porous medium equation; Lie group representation; Lorentz group; parabolic induction.
Received: September 10, 2012; in final form February 8, 2013; Published online February 12, 2013
Bibliographic databases:
Document Type: Article
MSC: 22E70; 35Q35
Language: English
Citation: Jose A. Franco, “On the $n$-Dimensional Porous Medium Diffusion Equation and Global Actions of the Symmetry Group”, SIGMA, 9 (2013), 011, 10 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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