Jose A. Franco, “On the <nobr>$n$</nobr>-Dimensional Porous Medium Diffusion Equation and Global Actions of the Symmetry Group”, SIGMA, 2013, Volume 9,011, 10 pp.

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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

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.

MSC: 22E70; 35Q35

Received: September 10, 2012; in final form February 8, 2013; Published online February 12, 2013

Language: English

DOI: 10.3842/SIGMA.2013.011