The Dirichlet-to-Neumann map in a disk with a one-step radial potential. An analytical and numerical study

Carlos Castro; Juan A. Barcel\'o; Sagrario Lantar\'on; Susana Merch\'an

arxiv: 1903.09428 · v1 · pith:CI3XVY35new · submitted 2019-03-22 · 🧮 math.AP

The Dirichlet-to-Neumann map in a disk with a one-step radial potential. An analytical and numerical study

Juan A. Barcel\'o , Carlos Castro , Sagrario Lantar\'on , Susana Merch\'an This is my paper

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keywords analyticaldisknumericalone-steppotentialradialassociatesclass

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We consider the Schr\"odinger operator with a potential q on a disk and the map that associates to q the corresponding Dirichlet to Neumann (DtN) map. We give some numerical and analytical results on the range of this map and its stability, for the particular class of one-step radial potentials.

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The Dirichlet-to-Neumann map in a disk with a one-step radial potential. An analytical and numerical study

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