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

@misc{cacciafesta2026dispersive,
  title = {{Dispersive estimates for Dirac equations in Aharonov-Bohm magnetic fields: massive case}},
  author = {Federico Cacciafesta and Piero D'Ancona and Zhiqing Yin and Junyong Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.07445},
  eprint = {2611.07445},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.07445},
}

TY  - UNPB
TI  - Dispersive estimates for Dirac equations in Aharonov-Bohm magnetic fields: massive case
AU  - Federico Cacciafesta
AU  - Piero D'Ancona
AU  - Zhiqing Yin
AU  - Junyong Zhang
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.07445
UR  - https://arxiv.org/abs/2611.07445
AB  - 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.
ER  -