Qian Huang, Jiecheng Chen
In this article, we consider the Cauchy problem for dispersive equations in -Modulation spaces. For this purpose, we find a method for estimating in alpha-modulation spaces when k is not an integer, and develop a Strichartz estimate in which is based on semigroup estimates. In the local case, we that the domain of p is independent of , which is also the case in the Modulation spaces and in the Besov space.
Submitted May 14, 2014. Published July 17, 2014.
Math Subject Classifications: 35A01, 35A02, 35L05.
Key Words: alpha-Modulation spaces; dispersive equation; Cauchy problem.
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| Qiang Huang |
Department of Mathematics, Zhejiang University
Hangzhou 310027, China
| Jiecheng Chen |
Department of Mathematics, Zhejiang Normal University
Jinhua 321004, China
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