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

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math.AP2024

On the concentration of the Fourier coefficients for products of Laplace-Beltrami eigenfunctions on real-analytic manifolds

Philippe Charron, François Pagano

On a closed analytic manifold $(M, g)$ , let $ϕ_{i}$ be the eigenfunctions of $Δ_{g}$ with eigenvalues $λ_{i}^{2}$ and let $f := \prod ϕ_{k_{j}}$ be a finite product of Laplace-Beltrami eigenfun…

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)^…