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An inverse source problem for the wave equation

✍ Scribed by Bui An Ton

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 155 KB
Volume: 55
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(03)00239-6

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✦ Synopsis

The Cauchy problem for the wave equation, with an unknown source of the form q(t) (@G), is studied. Using control techniques, the generalized Clarke gradients, feedback laws are established, yielding q and the surface @G with given observed values of the solution on a portion of a ÿxed closed surface. The intensity of the source, the shape of the surface are considered as two interacting controls. The problem of the identiÿcation of an obstacle from re ected waves have important practical applications in many ÿelds.

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