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

Martial Agueh (1) , Adrien Blanchet (2) , José Antonio Carrillo (3)

1 DMS - Department of Mathematics and Statistics
2 GREMAQ - Groupe de recherche en économie mathématique et quantitative
3 UAB - Departament de Matemàtiques [Barcelona]

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

Domaines: Equations aux dérivées partielles [math.AP]

Martial Agueh, Adrien Blanchet, José Antonio Carrillo. Large time asymptotics of the doubly nonlinear equation in the non-displacement convexity regime. 2009. ⟨hal-00350931⟩