Generalization of tangential trace spaces of H(curl,Ω) for curvilinear Lipschitz polyhedral domains Ω
Generalization of tangential trace spaces of H(curl,Ω) for curvilinear Lipschitz polyhedral domains Ω
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曲线 Lipschitz 多面体域 Ω 的 H(curl,Ω) 切向迹空间的推广
DOI：
10.1002/mma.2940
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发表时间：
2014
影响因子：
2.9
通讯作者：
L. Weggler
中科院分区：
文献类型：
--
作者：
L. Weggler
对于曲线Lipschitz多面体域Ω，给出了H1（Ω）的切迹空间的显式刻画.这些扩展了由Buffa和Ciarlet给出的具有平面的Lipschitz多面体域的原始特征。H_1（Ω）的切迹空间是H（curl，Ω）的迹空间的定义、分析和直观理解的基础，因此，同时也得到了H（curl，Ω）的切迹空间的更一般的刻画.版权所有© 2013约翰威利父子有限公司.
For curvilinear Lipschitz polyhedral domains Ω, explicit characterizations of the tangential trace spaces ofH1(Ω) are presented. These extend the original characterizations given by Buffa and Ciarlet that hold on Lipschitz polyhedral domains with plane faces. The tangential trace spaces ofH1(Ω) are fundamental for the definition, analysis and intuitive understanding of the trace spaces ofH(curl,Ω) and therefore, more general characterizations of the latter are obtained at the same time. Copyright © 2013 John Wiley & Sons, Ltd.