A Probabilistic Approach for Gradient Inequalities on Time-Inhomogeneous Manifolds

2013/05/03 by Lijuan Cheng, Cheng, Li-Juan
Mathematics · #58J65 #60J60 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1305.0608

openalex publication_date 2013/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Gradient inequalities of the Hamilton type and the Li-Yau type for positive solutions to the heat equation are established from a probabilistic viewpoint, which simplifies the proofs of some results of Sun [\it Pacific J. Math., 253 (2011), pp. 489--510].

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