Resonances and balls in obstacle scattering with Neumann boundary conditions

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dc.creatorChristiansen, T. J.
dc.date2008-01-04
dc.date.accessioned2026-07-07T08:52:35Z
dc.date.available2026-07-07T08:52:35Z
dc.descriptionWe 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 $ρ$ does, then the obstacle is a ball of radius $ρ$. We give related results for obstacles which are disjoint unions of several balls of the same radius.
dc.identifierhttps://arxiv.org/abs/0801.0660
dc.identifierhttp://arxiv.org/abs/0801.0660
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145329
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject35P25, 58J50, 35J25
dc.titleResonances and balls in obstacle scattering with Neumann boundary conditions
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