Blow up of solutions of semilinear heat equations in general domains

Valeria Marino, Filomena Pacella, Berardino Sciunzi

Consider the nonlinear heat equation $v_t-\Delta v=|v{|}^{p-1}v$ in a bounded smooth domain $\Omega \subset {\mathbb{R}}^n$ with $n>2$ and Dirichlet boundary condition. Given $u_p$ a sign-changing st…