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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Strichartz estimates for the Schrödinger equation with radial data


Author: Atanas Stefanov
Journal: Proc. Amer. Math. Soc. 129 (2001), 1395-1401
MSC (1991): Primary 35J10; Secondary 42B15
Published electronically: October 25, 2000
MathSciNet review: 1814165
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Abstract:

We prove an endpoint Strichartz estimate for radial solutions of the two-dimensional Schrödinger equation:

\begin{displaymath}\Vert e^{-i t \Delta}f\Vert _{L^2_t BMO_x}\leq C\Vert f\Vert _{L^2}.\end{displaymath}


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Additional Information

Atanas Stefanov
Affiliation: Department of Mathematics, Syracuse University, Syracuse, New York 13244
Email: astefano@syr.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05722-1
PII: S 0002-9939(00)05722-1
Keywords: Schr\"odinger equation, Strichartz estimates
Received by editor(s): August 6, 1999
Published electronically: October 25, 2000
Additional Notes: This research was supported in part by DMS-9870027
Communicated by: Christopher D. Sogge
Article copyright: © Copyright 2000 American Mathematical Society