2 citations · 2 across the 1 of their papers we have counts for
6 papers
Upper bounds for Courant-sharp Neumann and Robin eigenvalues
Katie Gittins, Corentin Léna
We consider the eigenvalues of the Laplacian on an open, bounded, connected set in with boundary, with a Neumann boundary condition or a Robin boundary conditi…
Upper bounds for the Steklov eigenvalues of warped products
Jade Brisson, Bruno Colbois, Alexandre Girouard +1
We obtain upper bounds for the Steklov eigenvalues of warped products , where is a compact Riemannian manifold with boundary and is a closed Riemannian mani…
Qualitative properties of the heat content
Michiel van den Berg, Katie Gittins
We obtain monotonicity and convexity results for the heat content of domains in Riemannian manifolds and in Euclidean space subject to various initial temperature conditions. We in…
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…
Spectral ratios and gaps for Steklov eigenvalues of balls with revolution-type metrics
Jade Brisson, Bruno Colbois, Katie Gittins
We investigate upper bounds for the spectral ratios and gaps for the Steklov eigenvalues of balls with revolution-type metrics. We do not impose conditions on the Ricci curvature o…
Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms
Michela Egidi, Katie Gittins, Georges Habib +1
In this paper we introduce the magnetic Hodge Laplacian, which is a generalization of the magnetic Laplacian on functions to differential forms. We consider various spectral result…