A counterexample to an endpoint bilinear Strichartz inequality

The endpoint Strichartz estimate $$ | e^{itDelta} f |_{L^2_t L^infty_x(mathbb{R} imes mathbb{R}^2)} lesssim |f|_{L^2_x(mathbb{R}^2)} $$ is known to be false by the work of Montgomery-Smith [2], despite being only "logarithmically far" from being true in some sense. In this short note we sh...

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Bibliographic Details
Main Author: Terence Tao
Format: Article
Language:English
Published: Texas State University 2006-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2006/151/abstr.thml