### Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 9 (2013), 011, 10 pages      arXiv:1209.1612      https://doi.org/10.3842/SIGMA.2013.011

### 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

Received September 10, 2012, in final form February 08, 2013; Published online February 12, 2013

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.

Key words: globalization; porous medium equation; Lie group representation; Lorentz group; parabolic induction.

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