Anisotropic curl-free wavelets with boundary conditions

被引：0
|
作者：
Yingchun Jiang
机构：
[1] School of Mathematics and Computational Science,
[2] Guilin University of Electronic Technology,undefined
来源：
Journal of Inequalities and Applications | / 2012卷
关键词：
anisotropic; curl-free; wavelets; bounded domains; boundary conditions;
D O I：
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学科分类号：
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 L2. Next, the characterization of Sobolev spaces is studied. Finally, we give the concrete construction of wavelets satisfying the initial assumptions.
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