5 papers · 1 filter
Monotonicity-based inversion of the fractional Schrödinger equation II. General potentials and stability
Bastian Harrach, Yi-Hsuan Lin
In this work, we use monotonicity-based methods for the fractional Schrödinger equation with general potentials in a Lipschitz bounded open set $Ω\subset \mathbb…
Dimension bounds in monotonicity methods for the Helmholtz equation
Bastian Harrach, Valter Pohjola, Mikko Salo
The article [HPS] established a monotonicity inequality for the Helmholtz equation and presented applications to shape detection and local uniqueness in inverse boundary problems.…
Local uniqueness for an inverse boundary value problem with partial data
Bastian Harrach, Marcel Ullrich
In dimension , we prove a local uniqueness result for the potentials of the Schrödinger equation from partial boundary data. More precisely, we show that po…
On localizing and concentrating electromagnetic fields
Bastian Harrach, Yi-Hsuan Lin, Hongyu Liu
We consider field localizing and concentration of electromagnetic waves governed by the time-harmonic anisotropic Maxwell system in a bounded domain. It is shown that there always…
Monotonicity in inverse medium scattering on unbounded domains
Roland Griesmaier, Bastian Harrach
We discuss a time-harmonic inverse scattering problem for the Helmholtz equation with compactly supported penetrable and possibly inhomogeneous scattering objects in an unbounded h…