Generalized Inhomogeneous Strichartz estimates

TL;DR

This paper establishes new inhomogeneous generalized Strichartz estimates using bilinear interpolation, expanding the theoretical framework beyond previous homogeneous estimates and demonstrating their application.

Contribution

It introduces a novel approach to inhomogeneous estimates that cannot be derived from homogeneous ones, utilizing advanced interpolation techniques.

Findings

New inhomogeneous generalized Strichartz estimates proved

Estimates do not follow from Christ-Kiselev lemma

Application provided for the new estimates

Abstract

We prove new inhomogeneous generalized Strichartz estimates, which do not follow from the homogeneous generalized estimates by virtue of the Christ-Kiselev lemma. Instead, we make use of the bilinear interpolation argument worked out by Keel and Tao and refined by Foschi presented in a unified framework. Finally, we give a sample application.