Large time behavior for the fast diffusion equation with critical absorption

Abstract

International audienceWe study the large time behavior of nonnegative solutions to the Cauchy problem for a fast diffusion equation with critical zero order absorption\partial_{t}u-\Delta u^m+u^q=0 \quad \quad \hbox{in} \(0,\infty)\times\real^N\ ,with $m_c:=(N-2)_{+}/N 1$