Green's function and infinite-time bubbling in the critical nonlinear heat equation

Carmen Cortazar, Manuel del Pino, Monica Musso

Let $\Omega$ be a smooth bounded domain in ${\mathbb{R}}^n$, $n\ge 5$. We consider the semilinear heat equation at the critical Sobolev exponent $$ u_t = Δu + u^{\frac{n+2}{n-2}} \inn Ω\times (0,…