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

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.

References in corpus (2)

• Enhanced preliminary group classification of a class of generalized diffusion equations
• The minimal representation of the conformal group and classic solutions to the wave equation