Proves decay of solutions to nonlinear Dirac equations in expanding regions or compact sets in 1D, 3D and higher dimensions via adapted virial identities.
Strichartz estimates for the Dirac equation on spherically symmetric spaces
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abstract
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.
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Decay of solutions of nonlinear Dirac equations
Proves decay of solutions to nonlinear Dirac equations in expanding regions or compact sets in 1D, 3D and higher dimensions via adapted virial identities.