Infinite time blow-up for the three dimensional energy critical heat equation in bounded domains

Giacomo Ageno, Manuel del Pino

We consider the Dirichlet problem for the energy-critical heat equation \begin{equation*} \begin{cases} u_t=Δu+u^5,~&\mbox{ in } Ω\times \mathbb{R}^+,\\ u(x,t)=0,~&\mbox{ on } \par…