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Boundary control, wave field continuation and inverse problems for the wave equation

Belishev, MI; Kurylev, YV; (1991) Boundary control, wave field continuation and inverse problems for the wave equation. Computers and Mathematics with Applications , 22 (4-5) 27 - 52.

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Abstract

We consider the problem of the wave field continuation and recovering of coefficients for the wave equation in a bounded domain in R , n > 1. The inverse data is a response operator mapping Neumann boundary data into Dirichlet ones. The reconstruction procedure is local. This means that, observing boundary response for larger times, we may recover coefficients deeper in the domain. The approach is based upon ideas and results of the boundary control theory, yielding some natural multidimensional analogs of the classical Gel'fand-Levitan-Krein equations. © 1991.

Type:Article
Title:Boundary control, wave field continuation and inverse problems for the wave equation
UCL classification:UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics

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