50 citations · 193 across the 24 of their papers we have counts for
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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 uniform…
Convergence to equilibrium for linear parabolic systems coupled by matrix-valued potentials
Alexander Dobrick, Jochen Glück
We consider systems of parabolic linear equations, subject to Neumann boundary conditions on bounded domains in , that are coupled by a matrix-valued potential , a…
A characterization of the individual maximum and anti-maximum principle
Sahiba Arora, Jochen Glück
Abstract approaches to maximum and anti-maximum principles for differential operators typically rely on the condition that all vectors in the domain of the operator are dominated b…
Local uniform convergence and eventual positivity of solutions to biharmonic heat equations
Daniel Daners, Jochen Glück, Jonathan Mui
We study the evolution equation associated with the biharmonic operator on infinite cylinders with bounded smooth cross-section subject to Dirichlet boundary conditions. The focus…
An operator theoretic approach to uniform (anti-)maximum principles
Sahiba Arora, Jochen Glück
Maximum principles and uniform anti-maximum principles are a ubiquitous topic in PDE theory that is closely tied to the Krein--Rutman theorem and kernel estimates for resolvents. W…