2 papers
math.SP2026
The heat trace for domains with curved corners
Sam Looi, David Sher
The heat trace of a planar polygon contains corner terms depending only on the opening angles, while the heat trace of a smooth planar domain contains curvature terms along the bou…
math.SP2025
Nodal counts for the Robin problem on Lipschitz domains
Katie Gittins, Asma Hassannezhad, Corentin Léna +1
We consider the Courant-sharp eigenvalues of the Robin Laplacian for bounded, connected, open sets in , , with Lipschitz boundary. We prove Pleijel's theore…