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On the nonlinear Dirac equation with an electromagnetic potential

  • Referent: Prof. Piero D'Ancona
  • Ort: Seminarraum 1.067, Gebäude 20.30
  • Termin: 29.6.2017, 14:00 Uhr - 29.6.2017, 15:00 Uhr
  • Gastgeber: SFB 1173


In a joint work with M. Okamoto (Shinshu University, Nagano) we prove smoothing and Strichartz estimates for a Dirac equation perturbed by a large potential of critical decay and regularity. In the endpoint case, we prove suitable replacements of these estimates for data of additional angular regularity. As an application we deduce global wellposedness and scattering for small data in the energy space with radial symmetry, or with additional angular regularity. Moreover, for a restricted class of potentials, we can extend our results to more general large data under the sole assumption of smallness of the Lochak-Majorana chiral invariants.