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Differential Equations

, Volume 55, Issue 4, pp 515–522 | Cite as

On Some Nonstandard Boundary Value Problems for 3D Vector Fields

  • Yu. A. DubinskiiEmail author
Partial Differential Equations
  • 1 Downloads

Abstract

We study two nonclassical boundary value problems for a system of Poisson equations in three-dimensional space whose boundary conditions contain the main first-order differential operations of field theory. The statements of the problems are based on the trace theorem for a linear combination of the vector of normal derivatives, the rotor, and the divergence. We prove two existence and uniqueness theorems for the weak solution of the problems under study.

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.National Research University “Moscow Power Engineering Institute,”MoscowRussia

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