Universal Bounds for Global Solutions of Fast Diffusion Equations with Source
Philippe Souplet · Communications in Partial Differential Equations · 2003
We prove a universal bound, independent of initial data, for all global nonnegative solutions of fast diffusion equations of the form , with zero Dirichlet boundary conditions. Up to now, such results were only available in the semilinear and slow diffusion cases m≥ 1.