27 citations · 95 across the 24 of their papers we have counts for
Showing 2021Show all
2 papers · 1 filter
math.SP2021★ 1 cited
Metric upper bounds for Steklov and Laplace eigenvalues
Bruno Colbois, Alexandre Girouard
We prove two upper bounds for the Steklov eigenvalues of a compact Riemannian manifold with boundary. The first involves the volume of the manifold and of its boundary, as well as…
math.SP2021
The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander's rediscovered manuscript
Alexandre Girouard, Mikhail Karpukhin, Michael Levitin +1
How close is the Dirichlet-to-Neumann (DtN) map to the square root of the corresponding boundary Laplacian? This question has been actively investigated in recent years. Somewhat s…