On traces for H(curl, Ω) in Lipschitz domains
On traces for H(curl, Ω) in Lipschitz domains
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DOI：
10.1016/s0022-247x(02)00455-9
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发表时间：
2002-12-15
影响因子：
1.3
通讯作者：
Sheen, D
中科院分区：
文献类型：
--
作者：
Buffa, A;Costabel, M;Sheen, D
研究了R-3中有界Lipschitz域Omega边界上的切向量场。我们的注意力集中在与分数次Sobolev正则相对应的适当Hilbert空间的定义以及非光滑流形上的切向微分算子的构造上。将该理论应用于空间H(curl，Omega)的切迹刻画。给出了相应迹空间的Hodge分解，并证明了分部积分公式。(C)2002年埃尔塞维尔科学公司(美国)。版权所有。
We study tangential vector fields on the boundary of a bounded Lipschitz domain Omega in R-3. Our attention is focused on the definition of suitable Hilbert spaces corresponding to fractional Sobolev regularities and also on the construction of tangential differential operators on the non-smooth manifold. The theory is applied to the characterization of tangential traces for the space H(curl, Omega). Hodge decompositions are provided for the corresponding trace spaces, and an integration by parts formula is proved. (C) 2002 Elsevier Science (USA). All rights reserved.