### Intermediate asymptotics of the porous medium equation with sign changes

#### Abstract

We study the porous medium equation with sign changes and examine the way sign changes disappear. We give a formal classification of self-similar and non-self-similar scenarios for their disappearance, for $N>1,$ restricting attention to the radial case. The results we present on the classification of similarity solutions are rigorous except where indicated otherwise.

#### Article information

Source
Adv. Differential Equations Volume 6, Number 9 (2001), 1115-1152.

Dates
First available in Project Euclid: 2 January 2013