Article

Nonstationary Maxwell equations

Komil O. MakhmudovDepartment of Mechanics and Mathematics, University of Samarkand, University Boulevard 15, Samarkand, UzbekistanOlimdjan Ishankulovich MakhmudovDepartment of Mechanics and Mathematics, University of Samarkand, University Boulevard 15, Samarkand, UzbekistanНиколай ТархановInstitute of Mathematics, University of Potsdam, Potsdam, Germany

Complex Variables and Elliptic Equationsjournal2019en

ABI

Abstract

The paper deals with a mixed problem for nonstationary generalised Maxwell equations. The boundary conditions are of Riemann-Hilbert type. The problem is reduced to a mixed problem for a wave equation where the boundary conditions are of Dirichlet type as they were introduced by D. Spencer in the middle 1950 s. We use the Fourier method to construct an approximate solution to the problem in certain function spaces of Sobolev type.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Numerical methods in inverse problems

Identifiers

DOI: 10.1080/17476933.2019.1704279

Citations and references

Cited by 013 references

Metrics — AkademScholar · Coming soon