Large time behavior of solutions of Trudinger's equation

Ryan Hynd, Erik Lindgren

We study the large time behavior of solutions $v:\Omega \times (0,\infty )\to \mathbb{R}$ of the PDE ${\partial }_t(|v{|}^{p-2}v)={\Delta }_{p}v.$ We show that $e^{\left({\lambda }_p/(p-1)\right)t}v(x,t)$…