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arXiv:0907.0109 [math.AP]AbstractReferencesReviewsResources

The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval

Masaru Ikehata

Published 2009-07-01, updated 2009-09-26Version 2

A simple method for some class of inverse obstacle scattering problems is introduced. The observation data are given by a wave field measured on a known surface surrounding unknown obstacles over a finite time interval. The wave is generated by an initial data with compact support outside the surface. The method yields the distance from a given point outside the surface to obstacles and thus more than the convex hull.

Comments: 24pages, revised
Journal: Inverse Problems 26 (2010) 055010
Categories: math.AP, math-ph, math.MP
Subjects: 35R30
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