On the Regularity of Time-Harmonic Maxwell Equations with Impedance Boundary Conditions

Abstract

In this paper, we prove the $H^2$ regularity of the solution to the time-harmonic Maxwell equations with impedance boundary conditions on domains with a $C^2$ boundary under minimum regularity assumptions on the source and boundary functions.

Keywords

Maxwell equations / Impedance boundary condition / $H^2$ regularity / 35B65 / 35D30 / 35Q60

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Funding

Ministry of Science and Technology of the People’s Republic of China(2019YFA0709602)

National Natural Science Foundation of China(11831016, 12288201, 12201621)

RIGHTS & PERMISSIONS

Shanghai University