Optimal constants and maximising functions for Strichartz inequalities

We prove sharp weighted bilinear inequalities which are global in time and for general dimensions for the free wave, Schrödinger and Klein-Gordon propagators. This extends work of Ozawa –Rogers for the Klein-Gordon propagator, work of Foschi-Klainerman and Bez-Rogers for the wave propagator, and wor...

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Bibliographic Details
Main Author: Jeavons, Christopher Paul
Published: University of Birmingham 2015
Subjects:
510
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.665769