Strichartz estimates for Schr\"odinger equations with the multipole Aharonov--Bohm Hamiltonian

Mengxuan Yang; Junyong Zhang

Strichartz estimates for Schr\"odinger equations with the multipole Aharonov--Bohm Hamiltonian

Analysis of PDEs 2026-05-26 v1 Mathematical Physics math.MP

Authors: Mengxuan Yang , Junyong Zhang

Abstract

We prove global-in-time Strichartz estimates for Schr\"odinger equations with multipole Aharonov--Bohm Hamiltonians on $\mathbb{R}^2$ . As intermediate steps, we prove global-in-time local smoothing estimates for multipole Aharonov--Bohm Hamiltonians.

Keywords

Strichartz estimates Schr"odinger equation Aharonov--Bohm Hamiltonian global-in-time estimates local smoothing estimates

Cite

@article{arxiv.2605.24361,
  title  = {Strichartz estimates for Schr\"odinger equations with the multipole Aharonov--Bohm Hamiltonian},
  author = {Mengxuan Yang and Junyong Zhang},
  journal= {arXiv preprint arXiv:2605.24361},
  year   = {2026}
}

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