3 papers
math.AP2026
Smoothing of operator semigroups under relatively bounded perturbations
Sahiba Arora, Jonathan Mui
We investigate a smoothing property for strongly-continuous operator semigroups, akin to ultracontractivity in parabolic evolution equations. Specifically, we establish the stabili…
math.AP2026
Non-Positivity of the heat equation with non-local Robin boundary conditions
Jochen Glück, Jonathan Mui
We study heat equations on bounded Lipschitz domains , where is a second-order unifor…
math.AP2025
Elliptic operators with non-local Wentzell-Robin boundary conditions
Markus Kunze, Jonathan Mui, David Ploss
In this article, we study strictly elliptic, second-order differential operators on a bounded Lipschitz domain in , subject to certain non-local Wentzell-Robin bounda…