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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:
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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