The blow-up problem for a semilinear parabolic equation with a potential

C. Cortazar, M. Elgueta, J. D. Rossi

Let $\Omega$ be a bounded smooth domain in $\RR^N$. We consider the problem $u_t=\Delta u+V(x)u^p$ in $\Omega \times [0,T)$, with Dirichlet boundary conditions $u=0$ on $\partial \Omega \times [0,T)$…