### Isolated boundary singularities of signed solutions of some semilinear parabolic equations

#### Abstract

We investigate the singular behaviour of any solution of the semilinear parabolic equation $u_{t}-\Delta u+\left| u\right| ^{q-1}u=0$ in a cylindrical domain near a boundary point. The description is made by means of explicit self-similar solutions of the same equation into a half-space. Uniqueness of singular solutions is also proven.

#### Article information

Source
Adv. Differential Equations, Volume 6, Number 11 (2001), 1281-1316.

Dates
First available in Project Euclid: 2 January 2013