## Differential and Integral Equations

### Uniqueness of singular self-similar solutions of a semilinear parabolic equation

Pavol Quittner

#### Abstract

We study the uniqueness of singular radial (forward and backward) self-similar positive solutions of the equation $u_t-\Delta u = u^p,$ $x\in\mathbb R^n,\ t>0,$ where $p\geq(n+2)/(n-2)_+$.

#### Article information

Source
Differential Integral Equations, Volume 31, Number 11/12 (2018), 881-892.

Dates
First available in Project Euclid: 25 September 2018

https://projecteuclid.org/euclid.die/1537840874

Mathematical Reviews number (MathSciNet)
MR3857869

Zentralblatt MATH identifier
06986983

Subjects
Primary: 35K58: Semilinear parabolic equations

#### Citation

Quittner, Pavol. Uniqueness of singular self-similar solutions of a semilinear parabolic equation. Differential Integral Equations 31 (2018), no. 11/12, 881--892. https://projecteuclid.org/euclid.die/1537840874