Damien Gobin
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View article: On uniqueness of radial potentials for given Dirichlet spectra with distinct angular momenta
On uniqueness of radial potentials for given Dirichlet spectra with distinct angular momenta Open
We consider an inverse spectral problem for radial Schr\" odinger operators with singular potentials. First, we show that the knowledge of the Dirichlet spectra for infinitely many angular momenta~$\ell$ satisfying a Müntz-type condition u…
View article: A Green's function for the source-free Maxwell equations on $AdS^5 \times \mathbb{S}^2 \times \mathbb{S}^3$
A Green's function for the source-free Maxwell equations on $AdS^5 \times \mathbb{S}^2 \times \mathbb{S}^3$ Open
We compute a Green's function giving rise to the solution of the Cauchy problem for the source-free Maxwell's equations on a causal domain $\mathcal{D}$ contained in a geodesically normal domain of the Lorentzian manifold $AdS^5 \times \ma…
View article: Inverse Scattering at Fixed Energy on Three-Dimensional Asymptotically Hyperbolic Stäckel Manifolds
Inverse Scattering at Fixed Energy on Three-Dimensional Asymptotically Hyperbolic Stäckel Manifolds Open
In this paper, we study an inverse scattering problem at fixed energy on three-dimensional asymptotically hyperbolic Stäckel manifolds having the topology of toric cylinders and satisfying the Robertson condition. On these manifolds the He…
View article: Local inverse scattering at fixed energy in spherically symmetric asymptotically hyperbolic manifolds
Local inverse scattering at fixed energy in spherically symmetric asymptotically hyperbolic manifolds Open
In this paper, we adapt the well-known \emph{local} uniqueness results of Borg-Marchenko type in the inverse problems for one dimensional Schr{ö}dinger equation to prove \emph{local} uniqueness results in the setting of inverse \emph{metri…
View article: Inverse scattering at fixed energy on three-dimensional asymptotically hyperbolic St{ä}ckel manifolds
Inverse scattering at fixed energy on three-dimensional asymptotically hyperbolic St{ä}ckel manifolds Open
In this paper, we study an inverse scattering problem at fixed energy on three-dimensional asymptotically hyperbolic St{ä}ckel manifolds having the topology of toric cylinders and satisfying the Robertson condition. On these manifolds the …