Calculus of Variations and Geometric Measure Theory

I. Pinheiro - F. Santambrogio

Sharp convergence rate for stationary states of the porous medium equation

created by pinheiro on 13 Oct 2026

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Preprint

Inserted: 13 oct 2026
Last Updated: 13 oct 2026

Year: 2026

Abstract:

In this paper we prove the sharp rate of convergence for stationary states of the porous medium equation with an external drift in the p-Wasserstein metric under very mild assumptions on the potential and for any $1\leq p\leq +\infty$.


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