Determination of the memory kernel from boundary measurements on a finite time interval
G. V. DyatlovSobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Acad. Koptyug prosp., 4, 630090, Novosibirsk, Russia. E-mail: [email protected]
2003en
ABI
Abstract
We study the problem of finding the memory term of a hyperbolic equation from the Dirichlet-to-Neumann map given on a finite time interval. We prove that this map determines uniquely some characteristics of the memory function and thereby memory functions of a special form.
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