36 citations · 97 across the 22 of their papers we have counts for
4 papers · 1 filter
The Steklov spectrum of cuboids
Alexandre Girouard, Jean Lagacé, Iosif Polterovich +1
The paper is concerned with the Steklov eigenvalue problem on cuboids of arbitrary dimension. We prove a two-term asymptotic formula for the counting function of Steklov eigenvalue…
Lower bounds for the first eigenvalue of the magnetic Laplacian
Bruno Colbois, Alessandro Savo
We consider a Riemannian cylinder endowed with a closed potential 1-form A and study the magnetic Laplacian with magnetic Neumann boundary conditions associated with those data. We…
Eigenvalue upper bounds for the magnetic Schroedinger operator
Bruno Colbois, Ahmad El Soufi, Said Ilias +1
We study the eigenvalues of the magnetic Schroedinger operator associated with a magnetic potential A and a scalar potential q, on a compact Riemannian manifold M, with Neumann bou…
Geometric rigidity of constant heat flow
Alessandro Savo
Let be a compact Riemannian manifold with smooth boundary and let be the solution of the heat equation on , having constant unit initial data and Dirichlet bou…