Trace Theorems on Non-Smooth Boundaries for Functional Spaces Related to Maxwell Equations: an Overview
Trace Theorems on Non-Smooth Boundaries for Functional Spaces Related to Maxwell Equations: an Overview
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与麦克斯韦方程相关的函数空间非光滑边界的迹定理：概述
DOI：
10.1007/978-3-642-55745-3_3
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
A. Buffa
中科院分区：
文献类型：
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作者：
A. Buffa
本文研究了空间中有界Lipschitz域边界上的切向量场.我们的注意力集中在定义合适的Hilbert空间的范围内的Sobolev正则性，我们试图使尽可能大，也对建设的切向微分算子。证明了Hodge分解对于麦克斯韦方程理论中感兴趣的某些特殊空间的选择是成立的。
We study tangential vector fields on the boundary of a bounded Lipschitz domain in ℝ3. Our attention is focused on the definition of suitable Hilbert spaces over a range of Sobolev regularity which we try to make as large as possible, and also on the construction of tangential differential operators. Hodge decompositions are proved to hold for some special choices of spaces which are of interest in the theory of Maxwell equations.