A stability estimate for a solution to an inverse problem of electrodynamics |
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Authors: | V G Romanov |
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Institution: | 1.Sobolev Institute of Mathematics,Novosibirsk,Russia |
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Abstract: | We consider the integrodifferential system of equations of electrodynamics which corresponds to a dispersive nonmagnetic medium.
For this system we study the problem of determining the spatial part of the kernel of the integral term. This corresponds
to finding the part of dielectric permittivity depending nonlinearly on the frequency of the electromagnetic wave. We assume
that the support of dielectric permittivity lies in some compact domain Ω ⊂ ℝ3. In order to find it inside Ω we start with known data about the solution to the corresponding direct problem for the equations
of electrodynamics on the whole boundary of Ω for some finite time interval. On assuming that the time interval is sufficiently
large we estimate the conditional stability of the solution to this inverse problem. |
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