3 papers
math.AP2026
A multi-point maximum principle to prove the global Harnack inequality for the doubly nonlinear heat equation
Ben Andrews, Daniel Hauer, Jessica Slegers
This work aims to present a new proof of the global pointwise Harnack inequality satisfied by positive viscosity solutions of the doubly nonlinear heat equation on .…
math.AP2026
Harnack-type inequalities for nonlinear evolution equations
Jessica Slegers
Harnack inequalities are useful qualitative tools for understanding the properties of partial differential equations. Originally discovered as a property of harmonic functions, Har…
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…