Blow-up behavior for semilinear heat equations in nonconvex domains
Blow-up behavior for semilinear heat equations in nonconvex domains
We study solutions of the parabolic equation $u_t = \Delta u + u^p$. We wish to extend some results of Giga and Kohn to the situations where the solution, $u$, is defined on a $C^{2,\alpha}$ domain and satisfies the Dirichlet or the Neumann boundary condition.