Work

Sharp Convergence Rate for stationary states of the Porous Medium Equation

Year: 2026

Type: preprint

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 $1\leq p\leq +\infty$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.19086

Authors: Pinheiro, Igor, Santambrogio, Filippo

Institutions: University of Florence, École Centrale de Lyon, Centre National de la Recherche Scientifique, Institut Camille Jordan, Université Jean Monnet, Institut National des Sciences Appliquées de Lyon, Université Jean Monnet

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: European Commission

OpenAlex ID: W7222160658

Cites: 1

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Related to: 10