11·î30Æü(ÌÚ) 16:00 -- 17:00 Mikhail I. Belishev
(Steklov Math Institute at Saint-Petersburg, Russia)
``Principles of the BC-method''
¡ãAbstarct of Prof.Belishev¡ä
An approach to the inverse problems based upon their relationship
with the boundary control theory (the BC-method) is presented.
The approach also uses asymptotic methods (geometrical optics) and
functional analysis (models of dynamical systems). The main ideas
are demonstrated for some examples of the problems of reconstruction
of the Riemannian manifold via dynamical and spectral boundary
inverse data.
REFERENCES
(1)M.Belishev.
Boundary control in reconstruction of manifolds and metrics,
Inv Prob, 13 (1997), 1- 45
(2)M.Belishev, V.Gotlib.
Dynamical variant of the BC-method: theory and numerical testing,
J. of Inv. Ill-Posed Prob, 7 (1999), 221-240
(3)M.Belishev, V.Isakov, L.Pestov, V.Sharafutdinov.
On reconstruction of gravity field via external electromagnetic
measurements, PDMI PREPRINT- 10/1999 (http://www.pdmi.ras.ru)