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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2013
• Main Author: Franco, J.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149213
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the n-Dimensional Porous Medium Diffusion Equation and Global Actions of the Symmetry Group / J.A. Franco // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 17 назв. — англ.

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.