Tuesday, June 4, 2024 - 09:30 in ZiF
Strichartz estimates for the Dirac equation on asymptotically flat manifolds
A talk in the Harmonic and Stochastic Analysis of Dispersive PDEs series by
Anne-Sophie De Suzzoni from Ecole Polytechnique Palaiseau
| Abstract: |
In this talk, we discuss Strichartz estimates for the Dirac equation on asymptotically flat
manifolds. We will present the Dirac equation in curved setting, and some of its symmetries. To
obtain Strichartz estimates, we see the Dirac equation as a perturbation of the KleinGordon or
wave equation and combine weak dispersive estimates with Strichartz and smoothing estimates
for the wave and Klein–Gordon flows exploiting previous results in the same geometrical setting.
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