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.AP2025
Direct sampling for recovering a clamped cavity from biharmonic far field data
Isaac Harris, Heejin Lee, Peijun Li
This paper concerns the inverse shape problem of recovering an unknown clamped cavity embedded in a thin infinite plate. The model problem is assumed to be governed by the two-dime…