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Strichartz Estimates and Scattering for the Massless Reduced Dirac-Fock Equation

Abstract

In this paper, we establish Strichartz estimates for the reduced Dirac-Fock equation for 3D massless spinors, linearized around non-localized equilibria. Our analysis covers both the random field and the density matrix frameworks. As an application, we deduce scattering for the corresponding nonlinear problem with a high-frequency cut-off.

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BibTeX
@misc{danesi2026strichartz,
  title = {{Strichartz Estimates and Scattering for the Massless Reduced Dirac-Fock Equation}},
  author = {Elena Danesi and Anne-Sophie de Suzzoni and Umberto Morellini},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.27818},
  eprint = {2610.27818},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.27818},
}
RIS
TY  - UNPB
TI  - Strichartz Estimates and Scattering for the Massless Reduced Dirac-Fock Equation
AU  - Elena Danesi
AU  - Anne-Sophie de Suzzoni
AU  - Umberto Morellini
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.27818
UR  - https://arxiv.org/abs/2610.27818
AB  - In this paper, we establish Strichartz estimates for the reduced Dirac-Fock equation for 3D massless spinors, linearized around non-localized equilibria. Our analysis covers both the random field and the density matrix frameworks. As an application, we deduce scattering for the corresponding nonlinear problem with a high-frequency cut-off.
ER  -