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math.AP2009
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 in $\RR^n$, in the range $\frac{n-p}{n(p-1)}<m>\frac{n-p+1}{…
math.AP2003★ 1 cited
Geometric inequalities via a general comparison principle for interacting gases
M. Agueh, N. Ghoussoub, X. Kang
The article builds on several recent advances in the Monge-Kantorovich theory of mass transport which have -- among other things -- led to new and quite natural proofs for a wide r…
math.AP2003★ 119 cited
Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory
Martial Agueh
We obtain solutions of the nonlinear degenerate parabolic equation \[ \frac{\partial ρ}{\partial t} = {div} \Big\{ρ\nabla c^\star [ \nabla (F^\prime(ρ)+V) ] \Big\} \] as a steepest…