2 citations · 3 across the 4 of their papers we have counts for
5 papers
Geometry of the magnetic Steklov problem on Riemannian annuli
Luigi Provenzano, Alessandro Savo
We study the geometry of the first two eigenvalues of a magnetic Steklov problem on an annulus (a compact Riemannian surface with genus zero and two boundary components), the m…
Geometric bounds for the magnetic Neumann eigenvalues in the plane
Bruno Colbois, Corentin Léna, Luigi Provenzano +1
We consider the eigenvalues of the magnetic Laplacian on a bounded domain of with uniform magnetic field and magnetic Neumann boundary conditions. We find u…
Eigenvalue bounds for the magnetic Laplacian
Bruno Colbois, Alessandro Savo
We consider a compact Riemannian manifold M endowed with a potential 1-form A and study the magnetic Laplacian associated with those data (with Neumann magnetic boundary condition…
Heat flow, heat content and the isoparametric property
Alessandro Savo
Let be a Riemannian manifold and a compact domain of with smooth boundary. We study the solution of the heat equation on having constant unit initial conditions and…
On the spectrum of the Dirichlet-to-Neumann operator acting on forms of a Euclidean domain
Simon Raulot, Alessandro Savo
We compute the whole spectrum of the Dirichlet-to-Neumann operator acting on differential p-forms on the unit Euclidean ball. Then, we prove a new upper bound for its first eigenva…