Aronson-Bénilan and Harnack estimates for the discrete porous medium equation

DOI10.1016/j.na.2023.113413zbMath1527.35455arXiv2301.07683MaRDI QIDQ6086082

Rico Zacher, Sebastian Kräss

Publication date: 9 November 2023

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.07683

zbMATH Keywords

Harnack inequalityporous medium equationRényi entropydiscrete spaceAronson-Bénilan estimateLi-Yau inequalitycurvature-dimension inequality

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Quasilinear parabolic equations (35K59) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

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