### Global solutions of a semilinear parabolic equation

#### Abstract

Radial solutions of the Gelfand equation on an $N$--dimensional ball are studied for $3\le N\le 9$. It is shown that global classical solutions are uniformly bounded while unbounded global $L^1$--solutions are constructed for some parameter range.

#### Article information

Source
Adv. Differential Equations, Volume 4, Number 2 (1999), 163-196.

Dates
First available in Project Euclid: 18 April 2013