Uniqueness of singular self-similar solutions of a semilinear parabolic   equation
  We study the uniqueness of singular radial (forward and backward) self-similar positive solutions of the equation $u_t-\Delta u = u^p, \quad x\in{\mathbb R}^n,\ t>0,$ where $p\geq(n+2)/(n-2)_+$. 
Pavol Quittner
math.AP