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math.SP2024
Spectral cluster asymptotics of the Dirichlet to Neumann operator on the two-sphere
S. Pérez-Esteva, A. Uribe, C. Villegas-Blas
We study the spectrum of the Dirichlet to Neumann operator of the two-sphere associated to a Schrödinger operator in the unit ball. The spectrum forms clusters of size ar…
math.SP2024
The Steklov spectrum of convex polygonal domains I: spectral finiteness
Emily B. Dryden, Carolyn Gordon, Javier Moreno +2
We explore the Steklov eigenvalue problem on convex polygons, focusing mainly on the inverse Steklov problem. Our primary finding reveals that, for almost all convex polygonal doma…