弱 Lipschitz 域中混合边界条件的全局 div-curl 引理
偏微分方程分析
2018-12-18 v2
摘要
我们证明了所谓的 div-curl-引理的全局版本——补偿紧致性与均匀化理论中的关键结果——在三维有界弱 Lipschitz 域及弱 Lipschitz 界面中针对混合切向与法向边界条件成立。我们论证的关键工具与核心是 de Rham 复形与 Weck 选择定理，即 Maxwell 方程的本质紧嵌入结果。
引用
@article{arxiv.1808.01234,
title = {A Global div-curl-Lemma for Mixed Boundary Conditions in Weak Lipschitz Domains},
author = {Dirk Pauly},
journal= {arXiv preprint arXiv:1808.01234},
year = {2018}
}
备注
proceeding note keywords: div-curl-lemma, compensated compactness, mixed boundary conditions, weak Lipschitz domains, Maxwell's equations. arXiv admin note: text overlap with arXiv:1707.00019