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<p>For 3D-vector fields we obtain a family of integral inequalities which we call field Friedrichs inequalities. We establish necessary and sufficient conditions for the unique solvability of the corresponding integral identities and study how the obtained solutions to the integral identities are connected with solutions to the Neumann problem.</p>

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Friedrichs Inequalities for 3D-Vector Fields and the Neumann Problem

  • 期刊论文

  • 发表日期：

    2025年7月10日

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  • Yu. A. Dubinskii,
  • P. V. Zubkov

摘要

For 3D-vector fields we obtain a family of integral inequalities which we call field Friedrichs inequalities. We establish necessary and sufficient conditions for the unique solvability of the corresponding integral identities and study how the obtained solutions to the integral identities are connected with solutions to the Neumann problem.