Communications on Applied Mathematics and Computation ›› 2025, Vol. 7 ›› Issue (2): 759-770.doi: 10.1007/s42967-024-00386-x

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

Zhiming Chen1,2   

  1. 1 LSEC, Institute of Computational Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;
    2 School of Mathematical Science, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2023-09-28 Revised:2024-02-09 Accepted:2024-02-10 Online:2025-06-20 Published:2025-04-21

Abstract: In this paper, we prove the H2 regularity of the solution to the time-harmonic Maxwell equations with impedance boundary conditions on domains with a C2 boundary under minimum regularity assumptions on the source and boundary functions.

Key words: Maxwell equations, Impedance boundary condition, H2 regularity

CLC Number: