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math.SP2020
Limiting Eigenfunctions of Sturm-Liouville operators Subject to a Spectral Flow
Thomas Beck, Isabel Bors, Grace Conte +2
We examine the spectrum of a family of Sturm--Liouville operators with regularly spaced delta function potentials parametrized by increasing strength. The limiting behavior of the…
math.AP2020
Two-phase free boundary problems in convex domains
Thomas Beck, David Jerison, Sarah Raynor
We study the regularity of minimizers of a two-phase free boundary problem. For a class of n-dimensional convex domains, we establish the Lipschitz continuity of the minimizer up t…