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arXiv · 1903.09428

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

Juan A. Barceló·Carlos Castro·Sagrario Lantarón·Susana Merchán
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Abstract

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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Juan A. Barceló, Carlos Castro, Sagrario Lantarón, Susana Merchán. 2019-03-22. The Dirichlet-to-Neumann map in a disk with a one-step radial potential. An analytical and numerical study. https://arxiv.org/abs/1903.09428

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