Inhomogeneous Strichartz estimates with spherical symmetry and applications to the Dirac-Klein-Gordon system in two space dimensions

Details Inhomogeneous Strichartz estimates with spherical symmetry and applications to the Dirac-Klein-Gordon system in two space dimensions Inhomogeneous Strichartz estimates with spherical symmetry and applications to the Dirac-Klein-Gordon system in two space dimensions

2009-03-30

arxiv.org/abs/0903.5339v2

Mathematics

Analysis of PDEs

Scientific paper

In this {\bf draft version} we prove inhomogeneous Strichartz estimates with
spherical symmetry in the abstract setting via duality arguments. Then we
derive some new explicit estimates in the context of the wave equation. This
allows us to prove global existence of spherically symmetric solutions to the
Dirac-Klein-Gordon (DKG) system in two space dimensions.

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