The time dependent Maxwell system with measurable coefficients in Lipschitz domains

DOI10.1016/j.jmaa.2017.03.052zbMath1367.35165OpenAlexW2598737422MaRDI QIDQ2396671

Eric Stachura

Publication date: 24 May 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.03.052

zbMATH Keywords

Sobolev spacesanisotropyLipschitz domainsMaxwell system

Mathematics Subject Classification ID

Electromagnetic theory (general) (78A25) Foundations in optics and electromagnetic theory (78A02) Maxwell equations (35Q61)

Related Items (1)

Acoustic wave propagation in anisotropic media with applications to piezoelectric materials

Cites Work

• Finite element approximation of the Navier-Stokes equations
• Semigroups of linear operators and applications to partial differential equations
• On a structural observation in generalized electromagnetic theory
• On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
• Some remarks on the characterization of the space of tangential traces of \(H(\text{rot}; \Omega)\) and the construction of an extension operator
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients
• Finite Element Methods for Maxwell's Equations
• Existence et unicité des solutions du système de Maxwell pour des milieux hétérogènes non réguliers
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