3 papers
math.AP2025
Existence of transmission eigenvalues for biharmonic scattering by a clamped planar region
Isaac Harris, Andreas Kleefeld, Heejin Lee
In this paper, we study the so-called clamped transmission eigenvalue problem. This is a new transmission eigenvalue problem that is derived from the scattering of an impenetrable…
math.AP2025
On the transmission eigenvalues for scattering by a clamped planar region
Isaac Harris, Heejin Lee, Andreas Kleefeld
In this paper, we consider a new transmission eigenvalue problem derived from the scattering by a clamped cavity in a thin elastic material. Scattering in a thin elastic material c…
math.AP2024
Sampling methods for recovering buried corroded boundaries from partial electrostatic Cauchy data
Isaac Harris, Andreas Kleefeld, Heejin Lee
We consider the inverse shape and parameter problem for detecting corrosion from partial boundary measurements. This problem models the non-destructive testing for a partially buri…