Boundary Control and Inverse Problem for the Dynamical Maxwell System: the Recovering of Velocity in Regular Zone
نویسندگان
چکیده
The paper deals with an approach to the Inverse Problems based upon their relations to the Boundary Control Theory (the BC-method). A possibility to recover a velocity c = ("") ?1=2 via response operator of the Maxwell dynamical system is discussed. The main result is that the operator (plus values of c; @c @ at a boundary) determines velocity uniquely in the maximal near-boundary layer in which the semigeodesical coordinates are regular. The recovering is time-optimal: the response operator given for time 2T determines a velocity in near-boundary layer of optical thickness T lying in the regular zone.
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