2 papers
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 \( (-Î)^{s+\log} \), defined as the derivative of the fractional Laplacian \( (-Î)^t \) 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…