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Petersburg Department of Steklov Institute of Mathematics

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PREPRINT 10/1999

M.BELISHEV, V.ISAKOV, L.PESTOV, and V.SHARAFUTDINOV
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ON RECONSTRUCTION
OF GRAVITY FIELD VIA EXTERNAL
ELECTROMAGNETIC MEASUREMENTS

This preprint was accepted May, 1999

Contact:
` M.I.Belishev `

ABSTRACT:
An approach to inverse problems (IP's) using their
relationship to boundary control theory (the BC-method [1])
is developed. A dynamical IP for the Maxwell system in a
bounded domain of a 3-D curved space is considered. The
domain is prospected by boundary electromagnetic sources;
the waves scattered by inhomogeneities of metric (gravity
field) are detected at the same boundary. The problem
is to recover the metric from these measurements. The
proposed procedure solving the IP is time-optimal, i.e.,
the metric in the near-boundary subdomain of the optical
thickness $ T$ is recovered by measurements on times
$ 0
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