35L05 35R30 Carleman estimate inverse problem potential wave operator
We prove a global uniqueness theorem of reconstruction of a matrix-potential
of one-dimensional wave equation
,
,
with
zero Cauchy data for
and given Cauchy data for
,
,
. Here
, and
are
smooth real matrices,
, and the matrix
is known.
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Details
Title
Inverse problem for one-dimensional wave equation with matrix potential
Creators - without role
Ammar Khanfer - Islamic University
Alexander Bukhgeim - Wichita State University
Publication Details
Journal of inverse and ill-posed problems, Vol.27(2), pp.217-223
Publisher
De Gruyter
Number of pages
7
Grant note
361204 / Al-Imam Muhammad Ibn Saud Islamic University (https://doi.org/10.13039/501100008840)