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<p>The <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\bar{\partial }\)</EquationSource> <EquationSource Format="MATHML"><math> <mover accent="true"> <mrow> <mi>∂</mi> </mrow> <mrow> <mo stretchy="false">¯</mo> </mrow> </mover> </math></EquationSource> </InlineEquation>-problem associated to a Helmholtz equation in the context of Hermitean function theory is analyzed. We characterize the existence of a feasible solution of this problem. As an application, we solve the problem for associated Maxwell equations.</p>

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\(\bar{\partial }\)-Problem Associated to a Hermitean Helmholtz Equation

  • 期刊论文

  • 发表日期：

    2026年3月31日

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  • Juan Bory-Reyes,
  • Marco Antonio Pérez-de la Rosa,
  • José Óscar González-Cervantes,
  • Fuli He

摘要

The \(\bar{\partial }\) ∂ ¯ -problem associated to a Helmholtz equation in the context of Hermitean function theory is analyzed. We characterize the existence of a feasible solution of this problem. As an application, we solve the problem for associated Maxwell equations.