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<p>In this paper, we consider various formulations of boundary-value problems for determining time-periodic electromagnetic fields and their sources in conducting domains for the system of Maxwell equations in the quasistationary electromagnetic approximation. For various versions of boundary conditions corresponding to the assignment of tangential and normal components of electric and magnetic fields on the boundary of the considered spatial domain, we characterize the spaces of sources the projections onto which are uniquely reconstructed by these boundary conditions.</p>

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PROBLEMS OF RECONSTRUCTING SOURCES FROM BOUNDARY OBSERVATIONS IN THE QUASISTATIONARY APPROXIMATION FOR THE SYSTEM OF MAXWELL EQUATIONS

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • A. V. Kalinin,
  • A. A. Tyukhtina

摘要

In this paper, we consider various formulations of boundary-value problems for determining time-periodic electromagnetic fields and their sources in conducting domains for the system of Maxwell equations in the quasistationary electromagnetic approximation. For various versions of boundary conditions corresponding to the assignment of tangential and normal components of electric and magnetic fields on the boundary of the considered spatial domain, we characterize the spaces of sources the projections onto which are uniquely reconstructed by these boundary conditions.