## Advances in Differential Equations

### 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

Permanent link to this document
https://projecteuclid.org/euclid.ade/1366291412

Mathematical Reviews number (MathSciNet)
MR1674359

Zentralblatt MATH identifier
0953.35065

#### Citation

Fila, Marek; Poláčik, Peter. Global solutions of a semilinear parabolic equation. Adv. Differential Equations 4 (1999), no. 2, 163--196. https://projecteuclid.org/euclid.ade/1366291412.