Local in Time Strichartz Estimates for the Dirac Equation on Spherically Symmetric Spaces

Federico Cacciafesta (1) , Anne-Sophie de Suzzoni (2)

1 Unipd - Università degli Studi di Padova = University of Padua
2 X-DEP-MATH - Département de Mathématiques de l'École polytechnique

We prove local in time Strichartz estimates for the Dirac equation on spherically symmetric manifolds. As an application, we give a result of local well-posedness for some nonlinear models.

Mots clés: Strichartz estimates; Dirac equation; dispersive estimates

Domaines: Mathématiques [math]

Federico Cacciafesta, Anne-Sophie de Suzzoni. Local in Time Strichartz Estimates for the Dirac Equation on Spherically Symmetric Spaces. International Mathematics Research Notices, In press, ⟨10.1093/imrn/rnaa192⟩. ⟨hal-02979822⟩