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PreprintarXiv licencearXiv

Determination of separable perturbations of an unbounded potential in the two-dimensional Schrödinger equation

  • Mourad Choulli
  • Hiroshi Takase
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Abstract

We establish uniqueness and stability results for a class of perturbations of an unbounded potential in the two-dimensional Schrödinger equation, from the corresponding Dirichlet-to-Neumann map. We assume that the difference between the potentials has a separated product structure. Our proof relies on a specific Carleman inequality.

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Cite

BibTeXRIS
BibTeX
@misc{choulli2026determination,
  title = {{Determination of separable perturbations of an unbounded potential in the two-dimensional Schrödinger equation}},
  author = {Mourad Choulli and Hiroshi Takase},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.18407},
  eprint = {2606.18407},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.18407},
}
RIS
TY  - UNPB
TI  - Determination of separable perturbations of an unbounded potential in the two-dimensional Schrödinger equation
AU  - Mourad Choulli
AU  - Hiroshi Takase
PY  - 2026
DA  - 2026/10/07
PB  - arXiv
DO  - 10.48550/arxiv.2606.18407
UR  - https://arxiv.org/abs/2606.18407
AB  - We establish uniqueness and stability results for a class of perturbations of an unbounded potential in the two-dimensional Schrödinger equation, from the corresponding Dirichlet-to-Neumann map. We assume that the difference between the potentials has a separated product structure. Our proof relies on a specific Carleman inequality.
ER  -