Asymptotic behaviour of the doubly nonlinear equation $u_t={\Delta }_p{u}^m$ on bounded domains

Diana Stan, Juan Luis Vazquez

We study the homogeneous Dirichlet problem for the doubly nonlinear equation $u_t={\Delta }_p{u}^m$, where $p>1,m>0$ posed in a bounded domain in ${\mathbb{R}}^N$ with homogeneous boundar…