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arXiv · 2611.07445

Dispersive estimates for Dirac equations in Aharonov-Bohm magnetic fields: massive case

Federico Cacciafesta·Piero D'Ancona·Zhiqing Yin·Junyong Zhang
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Abstract

We study the dispersive properties of the massive Dirac equation perturbed by an Aharonov-Bohm magnetic field, proving in particular dispersive and Strichartz estimates for the associated flow. This paper is the natural continuation of our previous work in the massless case [3], and the overall structure of the analysis remains similar. The presence of a nonzero mass term, however, breaks the scaling invariance of the equation and introduces new difficulties at several stages of the argument. In particular, the appearance of the spectral thresholds +m and -m leads to a genuinely different low energy regime, which requires a separate analysis of the singular angular component.

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Federico Cacciafesta, Piero D'Ancona, Zhiqing Yin, Junyong Zhang. 2026-11-05. Dispersive estimates for Dirac equations in Aharonov-Bohm magnetic fields: massive case. https://arxiv.org/abs/2611.07445

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