RESEARCH ANNOUNCEMENT ON"LAGRANGE ELEMENTS HOLD DISCRETE COMPACTNESS BASED ON THE CLASSICAL VARIATIONAL FORMULATION OF THE MAXWELL EIGENPROBLEM"

• 来源期刊: 数学杂志
• 年，卷（期）: 2021,（2）
• 所属期刊栏目: Research Announcements
• 页码范围: 95-100
• 页数: 6页
• 语种: 中文
• DOI: 10.3969/j.issn.0255-7797.2021.02.001

摘要

1 Introduction and Main Results Let Ω(∩)Rd,d = 2,3,be a bounded Lipschitz domain,multiply connected.Let Γ denote the boundary of Ω,with a finite number of connected components Γi,1 ≤ i ≤ NΓ,where NΓis an integer number.Let Ω be occupied with discontinuous,anisotropic and inhomogeneous media of μ(magnetic permeability)and ε(electric permittivity).Let curl:= ▽× and div:=▽?,with ▽ being the gradient operator,and let n be the outward unit normal vector to Γ.