English

Stability inequality for the problem of determining an unbounded potential from boundary measurements

Analysis of PDEs 2023-10-27 v1

Abstract

We establish in dimension 33 a stability inequality for the problem of determining the potential in the Schr\"odinger equation from boundary measurements in the case where the potential belongs to LsL^s with s(2,3)s\in (2,3).

Keywords

Cite

@article{arxiv.2310.17456,
  title  = {Stability inequality for the problem of determining an unbounded potential from boundary measurements},
  author = {Mourad Choulli},
  journal= {arXiv preprint arXiv:2310.17456},
  year   = {2023}
}