Hölder estimates for nonlocal-diffusion equations with drifts

2014/10/30 by Zhen-Qing Chen, Xicheng Zhang, Chen, Zhen-Qing +1 · 1 citation
Computer Science · Engineering · Mathematics · #35K05 #60J45 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Primary 60H30 #Probability (math.PR) #Secondary 47G20 #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1410.8243

openalex publication_date 2014/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a class of nonlocal-diffusion equations with drifts, and derive a priori Φ-Hölder estimate for the solutions by using a purely probabilistic argument, where Φ is an intrinsic scaling function for the equation.

Citations

• Uniqueness of Stable Processes with Drift

Cited by

• Intrinsic scaling properties for nonlocal operators II

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