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Inverse boundary value problem for ocean acoustics
Author(s) -
Ikehata M.,
Makrakis G. N.,
Nakamura G.
Publication year - 2000
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/1099-1476(20010110)24:1<1::aid-mma177>3.0.co;2-a
Subject(s) - uniqueness , mathematics , mathematical analysis , inverse problem , inverse , bounded function , displacement (psychology) , boundary (topology) , boundary value problem , dirichlet distribution , surface (topology) , geometry , psychology , psychotherapist
For an ocean with constant depth and rigid bottom which contains compactly supported inhomogeneity of the water sound velocity, we prove uniqueness for the identification of the inhomogeneity from the Dirichlet‐to‐Neumann (DtN) map on the surface of a bounded region containing the inhomogeneity. The DtN map is the map which maps the pressure applied on the boundary of this region to the corresponding flux (displacement). In an analogous geometric configuration and with similar boundary conditions, the uniqueness for the inverse electroconductivity problem from the DtN map (i.e. voltage‐to‐current map) can be proved in the same framework. Copyright © 2001 John Wiley & Sons, Ltd.