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Lorentz space extension of Strichartz estimates

Author(s): Cheonghee Ahn; Yonggeun Cho
Journal: Proc. Amer. Math. Soc. 133 (2005), 3497-3503.
MSC (2000): Primary 35J10, 42B25
Posted: July 13, 2005
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Abstract | References | Similar articles | Additional information

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
Email: purehope@yonsei.ac.kr

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
Email: bonobono@postech.ac.kr, ygcho@math.sci.hokudai.ac.jp

DOI: 10.1090/S0002-9939-05-07891-3
PII: S 0002-9939(05)07891-3
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
Posted: 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
Copyright of article: Copyright 2005, American Mathematical Society


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