Anisotropic curl-free wavelets with boundary conditions

被引：0
作者：
Jiang, Yingchun [1 ]
机构：
[1] Guilin Univ Elect Technol, Sch Math & Computat Sci, Guilin 541004, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年
基金：
中国国家自然科学基金;
关键词：
anisotropic; curl-free; wavelets; bounded domains; boundary conditions; DIVERGENCE-FREE; BASES;
D O I：
10.1186/1029-242X-2012-205
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the construction of anisotropic curl-free wavelets that satisfy the tangent boundary conditions on bounded domains. Based on some assumptions, we first obtain the desired curl-free Riesz wavelet bases through the orthogonal decomposition of vector-valued . Next, the characterization of Sobolev spaces is studied. Finally, we give the concrete construction of wavelets satisfying the initial assumptions. MSC: 42C20.
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页数：10
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