Email this article On Some Nonstandard Boundary Value Problems for 3D Vector Fields
- Authors: Dubinskii Y.A.1
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Affiliations:
- National Research University “Moscow Power Engineering Institute,”
- Issue: Vol 55, No 4 (2019)
- Pages: 515-522
- Section: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154996
- DOI: https://doi.org/10.1134/S0012266119040098
- ID: 154996
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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.
About the authors
Yu. A. Dubinskii
National Research University “Moscow Power Engineering Institute,”
Author for correspondence.
Email: julii_dubinskii@mail.ru
Russian Federation, Moscow, 111250
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