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arXiv · 1511.04163

A remark on finding the coefficient of the dissipative boundary condition via the enclosure method in the time domain

Masaru Ikehata
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Abstract

An inverse problem for the wave equation outside an obstacle with a {\it dissipative boundary condition} is considered. The observed data are given by a single solution of the wave equation generated by an initial data supported on an open ball. An explicit analytical formula for the computation of the coefficient at a point on the surface of the obstacle which is nearest to the center of the support of the initial data is given.

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Masaru Ikehata. 2015-11-24. A remark on finding the coefficient of the dissipative boundary condition via the enclosure method in the time domain. https://doi.org/10.1002/mma.4021

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