Perturbations of self-similar solutions

Thierry Cazenave, Flávio Dickstein, Ivan Naumkin +1

We consider the nonlinear heat equation $u_t=\Delta u+|u{|}^{\alpha }u$ with $\alpha >0$, either on ${\mathbb{R}}^N$, $N\ge 1$, or on a bounded domain with Dirichlet boundary conditions. We prove th…