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

Abstract

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
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hal-00350931 , version 1 (07-01-2009)

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