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math.AP2022
Strichartz estimates for the Dirac equation on asymptotically flat manifolds
Federico Cacciafesta, Anne-Sophie de Suzzoni, Long Meng
In this paper we prove Strichartz estimates for the Dirac equation on asymptotically flat manifolds. The proof combines the weak dispersive estimates proved by the first two author…
math.AP2021
Large time well posedness for a Dirac--Klein-Gordon system
Federico Cacciafesta, Anne-Sophie de Suzzoni, Long Meng +1
In this paper we prove well posedness for a system coupling a nonlinear Dirac with a Klein-Gordon equation that represents a toy model for the Helium atom with relativistic correct…