Harnack inequality for Bessel operators
Analysis of PDEs
2025-10-15 v1
Abstract
We prove uniqueness results and Harnack inequality for Bessel operators \begin{align*} %\label{def L transf alpha} D_t-\Delta_{x} -2a\cdot\nabla_xD_y- D_{yy}- \frac cy D_y % \nonumber \\[1ex]&=y^{\alpha}\sum_{i,j=1}^{N+1}a_{ij}D_{ij}+y^{\alpha-1}\left(v,\nabla\right)-by^{\alpha-2}. \end{align*} in the strip under Neumann boundary conditions at .
Keywords
Cite
@article{arxiv.2510.12529,
title = {Harnack inequality for Bessel operators},
author = {Giorgio Metafune and Luigi Negro and Chiara Spina},
journal= {arXiv preprint arXiv:2510.12529},
year = {2025}
}