2 papers
math.SP2025
On the hot spots conjecture in higher dimensions
James B. Kennedy, Jonathan Rohleder
We prove a strong form of the hot spots conjecture for a class of domains in which are a natural generalization of the lip domains of Atar and Burdzy [J. Amer. Math.…
math.SP2025
Positivity properties of the Dirichlet-to-Neumann operator on graphs
Daniel Daners, Jochen Glück, James B. Kennedy
We explore positivity properties of the semigroup generated by the negative of the Dirichlet-to-Neumann operator with real potential , defined on a subset of the vertices of a…