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

Zhiming Chen

doi:10.1007/s42967-024-00386-x

Communications on Applied Mathematics and Computation ›› : 1 -12. DOI: 10.1007/s42967-024-00386-x

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

Zhiming Chen ¹^,²^,a

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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.

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Zhiming Chen. On the Regularity of Time-Harmonic Maxwell Equations with Impedance Boundary Conditions. Communications on Applied Mathematics and Computation 1-12 DOI:10.1007/s42967-024-00386-x