Philippe Charron

activity

20152026

most citedPleijel's theorem for Schrödinger operators with radial potentials

5 citations · 5 across the 7 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math-ph2023

Sturm-Hurwitz Theorem for quantum graphs

Ram Band, Philippe Charron

We prove upper and lower bounds for the number of zeroes of linear combinations of Schrödinger eigenfunctions on metric (quantum) graphs. These bounds are distinct from both the in…

math.AP2023

The inner radius of nodal domains in high dimensions

Philippe Charron, Dan Mangoubi

We prove that every nodal domain of an eigenfunction of the Laplacian of eigenvalue $λ$ on a $d$ -dimensional closed Riemannian manifold contains a ball of radius $cλ^{-1/2}(\logλ)^…