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math.AP2026
The Fractional-Logarithmic Laplacian:Fundamental Properties and Eigenvalues
Huyuan Chen, Rui Chen, Daniel Hauer
In this paper, we introduce, for the first time, the fractional--logarithmic Laplacian \( (-Δ)^{s+\log} \), defined as the derivative of the fractional Laplacian \( (-Δ)^t \) at \(…
math.AP2025
A multi-point maximum principle to prove global Harnack inequalities for Schrödinger operators
Ben Andrews, Daniel Hauer, Jessica Slegers
In this article, we introduce a new methodology to prove global parabolic Harnack inequalities on Riemannian manifolds. We focus on presenting a new proof of the global pointwise H…