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

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

Analysis of PDEs 2019-03-25 v1

Authors: Juan A. Barceló , Carlos Castro , Sagrario Lantarón , Susana Merchán

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.

Keywords

dirichlet-to-neumann map schrödinger operator radial potential stability numerical analysis

Cite

@article{arxiv.1903.09428,
  title  = {The Dirichlet-to-Neumann map in a disk with a one-step radial potential. An analytical and numerical study},
  author = {Juan A. Barceló and Carlos Castro and Sagrario Lantarón and Susana Merchán},
  journal= {arXiv preprint arXiv:1903.09428},
  year   = {2019}
}

Comments

20 pages, 14 figures, 1 table

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