Resonances and balls in obstacle scattering with Neumann boundary conditions
Mathematical Physics
2008-01-07 v1 math.MP
Spectral Theory
Abstract
We consider scattering by an obstacle in , odd. We show that for the Neumann Laplacian if an obstacle has the same resonances as the ball of radius does, then the obstacle is a ball of radius . We give related results for obstacles which are disjoint unions of several balls of the same radius.
Keywords
Cite
@article{arxiv.0801.0660,
title = {Resonances and balls in obstacle scattering with Neumann boundary conditions},
author = {T. J. Christiansen},
journal= {arXiv preprint arXiv:0801.0660},
year = {2008}
}