Resonances and balls in obstacle scattering with Neumann boundary conditions

Details Resonances and balls in obstacle scattering with Neumann boundary conditions Resonances and balls in obstacle scattering with Neumann boundary conditions

2008-01-04

arxiv.org/abs/0801.0660v1

Physics

Mathematical Physics

Scientific paper

We consider scattering by an obstacle in $\Real^d$, $d\geq 3 $ odd. We show
that for the Neumann Laplacian if an obstacle has the same resonances as the
ball of radius $\rho$ does, then the obstacle is a ball of radius $\rho$. We
give related results for obstacles which are disjoint unions of several balls
of the same radius.

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