15 citations · 16 across the 16 of their papers we have counts for
8 papers · 1 filter
Certain Inverse Resonance Uniqueness on the Line with Super-Exponentially Decaying Potential
Lung-Hui Chen
In the paper, we study the inverse problem with the resonant data of fast decaying potential . We review Froese' construction of the Born's approximation and Neumann series to a…
A Near-Field Basis in Radially Symmetric Interior Transmission Problem
Lung-Hui Chen
The spectrum of interior transmission problem is the zero set of certain entire functional determinant. It is classic that we deploy the series of exponential polynomials to approx…
Some Inverse Spectral Results in Exterior Transmission Problem
Lung-Hui Chen
We consider an inverse spectral theory in a domain with the cavity that is bounded by a penetrable inhomogeneous medium. An ODE system is constructed piecewise through the solution…
An Inverse Uniqueness in Interior Transmission Problem and Its Eigenvalue Tunneling in Penetrable Simple Domains
Lung-Hui Chen
We study an inverse uniqueness with a knowledge of spectral data in the interior transmission problem defined by an index of refraction in a simple domain. We expand the solution i…
A Proof of Schiffer's Conjecture in Starlike Domain by Far-Field Patterns
Lung-Hui Chen
We formulate the Schiffer's conjecture in spectral geometry in the context of scattering theory. The problem is equivalent to finding a non-trivial solution in an interior transmis…
An Uniqueness Result on Spherically Stratified Media with Interior Transmission Eigenvalues
Lung-Hui Chen
Given a set of transmission eigenvalues, we describe the connection of such a set to the indicator functions in entire function theory. The indicator functions control the asymptot…