### 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

Mathematical Reviews number (MathSciNet)
MR1859349

Zentralblatt MATH identifier
1009.35044

#### Citation

Marcus, Moshe; Véron, Laurent. Isolated boundary singularities of signed solutions of some semilinear parabolic equations. Adv. Differential Equations 6 (2001), no. 11, 1281--1316.https://projecteuclid.org/euclid.ade/1357139962