Equations of the Boundary Control method for the inverse source problem
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 42, Tome 409 (2012), pp. 121-129
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We consider the dynamical inverse source problem for the abstract nonselfadjoint operator in the Hilbert space and derive the equation of the Boundary Control method for this problem. It is shown that the solution of this equation crucially depends on the property of certain exponential family. We provide the applications of this equation to inverse source problem and to the problem of the extension of the inverse data.
@article{ZNSL_2012_409_a7,
author = {A. S. Mikhaylov and V. S. Mikhaylov},
title = {Equations of the {Boundary} {Control} method for the inverse source problem},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {121--129},
publisher = {mathdoc},
volume = {409},
year = {2012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_409_a7/}
}
TY - JOUR AU - A. S. Mikhaylov AU - V. S. Mikhaylov TI - Equations of the Boundary Control method for the inverse source problem JO - Zapiski Nauchnykh Seminarov POMI PY - 2012 SP - 121 EP - 129 VL - 409 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2012_409_a7/ LA - en ID - ZNSL_2012_409_a7 ER -
A. S. Mikhaylov; V. S. Mikhaylov. Equations of the Boundary Control method for the inverse source problem. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 42, Tome 409 (2012), pp. 121-129. http://geodesic.mathdoc.fr/item/ZNSL_2012_409_a7/