Nonunique continuation for the Maxwell system

DOI10.1007/s10958-012-0938-5zbMath1259.78008OpenAlexW2140991174MaRDI QIDQ1930248

M. N. Demchenko

Publication date: 10 January 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0938-5

zbMATH Keywords

nonunique continuationstationary Maxwell system

Mathematics Subject Classification ID

Electro- and magnetostatics (78A30) Foundations in optics and electromagnetic theory (78A02)

Related Items (5)

The Maxwell operator with periodic coefficients in a cylinder ⋮ Threshold resonances and virtual levels in the spectrum of cylindrical and periodic waveguides ⋮ Uniqueness for an inverse problem in electromagnetism with partial data ⋮ Finite-dimensional approximations to the Poincaré–Steklov operator for general elliptic boundary value problems in domains with cylindrical and periodic exits to infinity ⋮ Mosco convergence for \(H(\text{curl})\) spaces, higher integrability for Maxwell's equations, and stability in direct and inverse EM scattering problems

Cites Work

• Unnamed Item
• A Carleman inequality for the stationary anisotropic Maxwell system
• Absolute continuity of the spectrum of the periodic Maxwell operator in a layer
• Nonunique continuation for uniformly parabolic and elliptic equations in self-adjoint divergence form with Hölder continuous coefficients

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