Qian Huang, Jiecheng Chen
Abstract:
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 email: huangqiang0704@163.com | |
Jiecheng Chen Department of Mathematics, Zhejiang Normal University Jinhua 321004, China email: jcchen@zjnu.edu.cn |
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