ARONSON–BÉNILAN GRADIENT ESTIMATES FOR POROUS MEDIUM EQUATIONS UNDER LOWER BOUNDS OF N-WEIGHTED RICCI CURVATURE WITH N

ARONSON–BÉNILAN GRADIENT ESTIMATES FOR POROUS MEDIUM EQUATIONS UNDER LOWER BOUNDS OF N-WEIGHTED RICCI CURVATURE WITH N < 0

Published:2024 Issue:1 Volume:78 Page:209-223
ISSN:1340-6116
Container-title:Kyushu Journal of Mathematics
language:en
Short-container-title:Kyushu J. Math.

Author:

FUJITANI Yasuaki¹

Affiliation:

1. Department of Mathematics Osaka University

Publisher

Faculty of Mathematics, Kyushu University

Link

https://www.jstage.jst.go.jp/article/kyushujm/78/1/78_209/_pdf

Reference24 articles.

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2. [2] E. Calabi. An extension of E. Hopf’s maximum principle with an application to Riemannian geometry. Duke Math. J. 25(1) (1958), 45–56.

3. [3] S. Y. Cheng and S.-T. Yau. Differential equations on Riemannian manifolds and their geometric applications. Comm. Pure Appl. Math. 28(3) (1975), 333–354.

4. [4] Y. Fujitani. Some functional inequalities under lower Bakry–Émery–Ricci curvature bounds with 𝜀-range. Manuscripta Math. To appear. Preprint, 2022, arXiv:2211.12310.

5. [5] I. Gentil and S. Zugmeyer. A family of Beckner inequalities under various curvature-dimension conditions. Bernoulli 27(2) (2021), 751–771.

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