English

Quantitative strong unique continuation property for the Schr\"odinger operator with unbounded potential

Analysis of PDEs 2023-09-19 v1

Abstract

We revisit \cite[Theorem 6.3]{JK}. Following the main ideas used to prove this theorem, we establish a quantitative version of the strong unique continuation property for the Sch\"odinger operator with unbounded potential. We also show that a combination of this result with a global quantitative unique continuation property from an arbitrary interior data yields a global quantitative strong unique continuation.

Keywords

Cite

@article{arxiv.2309.08651,
  title  = {Quantitative strong unique continuation property for the Schr\"odinger operator with unbounded potential},
  author = {Mourad Choulli},
  journal= {arXiv preprint arXiv:2309.08651},
  year   = {2023}
}
R2 v1 2026-06-28T12:22:59.181Z