Large time asymptotics of the doubly nonlinear equation in the non-displacement convexity regime

Martial Agueh, Adrien Blanchet, José Antonio Carrillo

We study the long-time asymptotics of the doubly nonlinear diffusion equation ${\rho }_t=div(|\nabla {\rho }^m{|}^{p-2}\nabla {\rho }^m)$ in $\RR^n$, in the range $\frac{n-p}{n(p-1)}<m>\frac{n-p+1}{…