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.
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