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arXiv · 2605.24361

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

Mengxuan Yang·Junyong Zhang
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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.

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Mengxuan Yang, Junyong Zhang. 2026-05-23. Strichartz estimates for Schr\"odinger equations with the multipole Aharonov--Bohm Hamiltonian. https://arxiv.org/abs/2605.24361

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