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

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.

added Corollary 1.1

References in corpus (1)

• The enclosure method for inverse obstacle scattering using a single electromagnetic wave in time domain

Cited by in corpus (5)

• The enclosure method for inverse obstacle scattering over a finite time interval: IV. Extraction from a single point on the graph of the response operator
• On finding a cavity in a thermoelastic body using a single displacement measurement over a finite time interval on the surface of the body
• Extracting discontinuity using the probe and enclosure methods
• On finding an obstacle with the Leontovich boundary condition via the time domain enclosure method
• On finding a penetrable obstacle using a single electromagnetic wave in the time domain