Sharp Extinction Rates for Fast Diffusion Equations on Generic Bounded Domains

Matteo Bonforte, Alessio Figalli

We investigate the homogeneous Dirichlet problem for the Fast Diffusion Equation $u_t=\Delta u^m$, posed in a smooth bounded domain $\Omega \subset {\mathbb{R}}^N$, in the exponent range $m_s=(N…