Abstract
We prove Strichartz estimates for data with spherical symmetry for a large class of dispersive equations. Our method is based on weighted space-time estimates and does not rely on the dispersive estimate. The dual inhomogeneous Strichartz estimates are derived too and it is shown that in the context of the wave and the Klein-Gordon equation the results that we obtain are essentially optimal. Furthermore, we extend the inhomogeneous estimates to the range . We also give an application to the global well-posedness of the Dirac-Klein-Gordon system in two spatial dimensions. For data that is spherically symmetric we improve the regularity assumptions of the recent result of Grünrock and Pecher [13].
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
