| The Dissipative Quasi-geostrophic Equation in Weak Morrey Spaces |
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| 作者姓名： | Bao Quan YUAN |
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| 作者单位： | School of Mathematics and Informatics, He＇nan Polytechnic University, Jiaozuo 454000, P. R. China |
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| 基金项目： | The author is partially supported by the China Postdoctoral Science Foundation （No.20060390530）, Natural Science Foundation of Henan Province （No.0611055500） |
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| 摘 要： | The author studies the Cauchy problem of the dissipative quasi-geostrophic equation in weak Morrey spaces. The global well-posedness is established for any small initial data in the weak space Mp^＊,γ（R^n）, with 1〈p〈∞and A = n-（2α-1）p, and for a small external force in a time-weighted weak Morrey space.
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| 关 键 词： | 耗散型准地转方程 弱Morrey空间 柯西问题 偏微分方程 |
| 文章编号： | 10.1007/s10114-007-0973-1 |
| 收稿时间： | 2005-09-26 |
| 修稿时间： | 2006-05-26 |
The dissipative quasi-geostrophic equation in weak Morrey spaces |
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| Bao Quan YUAN.The Dissipative Quasi-geostrophic Equation in Weak Morrey Spaces[J].Acta Mathematica Sinica,2008,24(2):253-266. |
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| Authors: | Bao Quan Yuan |
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| Institution: | (1) School of Mathematics and Informatics, He’nan Polytechnic University, Jiaozuo, 454000, P. R. China |
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| Abstract: | The author studies the Cauchy problem of the dissipative quasi-geostrophic equation in weak Morrey spaces. The global well-posedness
is established for any small initial data in the weak space M*
p,λ
(ℝ
n
), with 1 < p < ∞ and λ = n−(2α−1)p, and for a small external force in a time-weighted weak Morrey space.
The author is partially supported by the China Postdoctoral Science Foundation (No. 20060390530), Natural Science Foundation
of Henan Province (No. 0611055500) |
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| Keywords: | dissipative quasi-geostrophic equation weak Morrey spaces global well-posedness |
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