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

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Cortazar, Carmen; Elgueta, Manuel; Rossi, Julio D.;

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 $\partial \Omega \times [0,T)$ and initial datum $u(x,0)= M \phi (x)$ where $M \geq 0$, $\phi$ is... View more
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