1·î13Æü(ÌÚ) 15:30 -- 17:00 Sergey I. Kabanikhin
(Sobolev Institute of Mathematics, Russia)
``Discrete and continuous Gelfand-Levitan method in
multidimensional inverse problems''
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The multidimensional analog of Gelfand-Levitan method of solving inverse
problems for hyperbolic equations is considered. The discrete analog of
multidimensional hyperbolic inverse problem is the nonlinear system of
algebraic equations. This system is proved to be equivalent to the properly
chosen system of linear algebraic equations. Applications to siesmic and
acoustic inverse problems are discussed.