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Matematicheskie Zametki, 2012, Volume 91, Issue 2, Pages 184–199
DOI: https://doi.org/10.4213/mzm8613 (Mi mzm8613) 		 
A Mixed Problem for the Dirac–Schwinger Extension of the Maxwell System

I. V. Zagrebaev

Business Intelligence Group, Moscow
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DOI: https://doi.org/10.4213/mzm8613
Abstract: The paper is devoted to the topical, but insufficiently studied problem of finding conditions for the solvability of a $L_2$-well-posed initial boundary-value problem for the linear system of four hyperbolic-type equations (Maxwell equations for the vector-potential) with dissipation, a zero initial condition, and an inhomogeneous boundary condition.
Keywords: Maxwell system of equations, Dirac–Schwinger extension of the Maxwell system, hyperbolic-type equation, nonequilibrium process, pseudodifferential operator, initial boundary-value problem, Fourier transform.
Received: 01.09.2009
English version:
Mathematical Notes, 2012, Volume 91, Issue 2, Pages 172–186
DOI: https://doi.org/10.1134/S0001434612010191
Bibliographic databases:
Document Type: Article
UDC: 517.9+533.7+533.723
Language: Russian
Citation: I. V. Zagrebaev, “A Mixed Problem for the Dirac–Schwinger Extension of the Maxwell System”, Mat. Zametki, 91:2 (2012), 184–199; Math. Notes, 91:2 (2012), 172–186
Citation in format AMSBIB
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