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Lorentz space extension of Strichartz estimates

Authors: Cheonghee Ahn and Yonggeun Cho
Journal: Proc. Amer. Math. Soc. 133 (2005), 3497-3503
MSC (2000): Primary 35J10, 42B25
Published electronically: July 13, 2005
MathSciNet review: 2163584
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Abstract: In this paper, Strichartz estimates for the solution of the Schrödinger evolution equation are considered on a mixed normed space with Lorentz norm with respect to the time variable.

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Additional Information

Cheonghee Ahn
Affiliation: Department of Mathematics, Yonsei University, Sinchon-dong, Seodaemun-gu, Seoul, Republic of Korea

Yonggeun Cho
Affiliation: Department of Mathematics, Yonsei University, Sinchon-dong, Seodaemun-gu, Seoul, Republic of Korea
Address at time of publication: Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan

Keywords: Strichartz estimate, Schr\"{o}dinger equation, Lorentz space
Received by editor(s): February 16, 2004
Received by editor(s) in revised form: July 5, 2004
Published electronically: July 13, 2005
Additional Notes: The first author was supported by KOSEF R01-2004-000-10072-0 and the second author by Korea Research Foundation KRF-2003-005-C00011.
Communicated by: Christopher D. Sogge
Article copyright: © Copyright 2005 American Mathematical Society

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