English

Inverse problems for time-fractional Schr\"odinger equations

Analysis of PDEs 2025-11-13 v1 Mathematical Physics math.MP Optimization and Control

Abstract

We study some inverse problems for time-fractional Schr\"odinger equations involving the Caputo derivative of fractional order α(0,1)\alpha \in (0,1). We prove refined uniqueness results from sets of positive Lebesgue measure for various problems by weakening the regularity of initial data.

Keywords

Cite

@article{arxiv.2511.08701,
  title  = {Inverse problems for time-fractional Schr\"odinger equations},
  author = {S. E. Chorfi and F. Et-tahri and L. Maniar and M. Yamamoto},
  journal= {arXiv preprint arXiv:2511.08701},
  year   = {2025}
}

Comments

6 pages

R2 v1 2026-07-01T07:32:54.922Z