On the Maxwell system under impedance boundary conditions with memory |
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Authors: | M V Urev |
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Institution: | 1. Institute of Computational Mathematics and Mathematical Geophysics, Novosibirsk, Russia
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Abstract: | We consider an initial boundary value problem for the system of the Maxwell equations in a bounded domain with smooth boundary on a finite time interval with new boundary conditions with memory. In appropriate function spaces, we define and study the nonselfadjoint operator that is generated by the Maxwell operator under a boundary condition with memory. Using the operator method, we prove an existence and uniqueness theorem for a solution to the initial boundary value problem. |
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