6 citations · 6 across the 2 of their papers we have counts for
4 papers
How to hear the corners of a drum
Medet Nursultanov, Julie Rowlett, David Sher
We announce a new result which shows that under either Dirichlet, Neumann, or Robin boundary conditions, the corners in a planar domain are a spectral invariant of the Laplacian. F…
Inverse Steklov spectral problem for curvilinear polygons
Stanislav Krymski, Michael Levitin, Leonid Parnovski +2
This paper studies the inverse Steklov spectral problem for curvilinear polygons. For generic curvilinear polygons with angles less than , we prove that the asymptotics of Stekl…
On the pseudospectra of Schrödinger operators on Zoll manifolds
David Sher, Alejandro Uribe, Carlos Villegas-Blas
We consider non-self-adjoint Schrödinger operators where is the Laplace-Beltrami operator on a Zoll manifold and . We obtain asymptotic re…
The determinant on flat conic surfaces with excision of disks
David A. Sher
Let M be a surface with conical singularities, and consider a degenerating family of surfaces obtained from M by removing disks of smaller and smaller radius around a subset of the…