\(W^{1,p}\) regularity of weak solutions to Maxwell's equations

DOI10.1155/2020/1080594zbMath1487.35360OpenAlexW3037982175MaRDI QIDQ2194646

Zhi-Hong Chen

Publication date: 7 September 2020

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/1080594

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Maxwell equations (35Q61)

Cites Work

• Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions
• Solution of the Plateau problem for \(m\)-dimensional surfaces of varying topological type
• Optimal regularity of solution to a degenerate elliptic system arising in electromagnetic fields
• Regularity of weak solution to Maxwell's equations and applications to microwave heating
• On \(L^p\) estimates in homogenization of elliptic equations of Maxwell's type
• Linear and quasilinear elliptic equations
• Quantitative uniqueness estimate for the Maxwell system with Lipschitz anisotropic media
• Elliptic equations with BMO coefficients in Reifenberg domains
• On the Hölder Continuity of Solutions of a Certain System Related to Maxwell's Equations
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