An inverse initial-boundary value problem for identifying the coefficient of some second order hyperbolic equation by single set of boundary measurement is considered. The problem is transformed to a minimization problem of a functional. After a concrete expression of the Gateaux derivative of the functional is obtained, an algorithm for identifying the coefficient is given based on the projected gradient method. A numerical result is presented to verify the algorithm.
@article{1593,
title = {Variational approach for identifying a coefficient of the wave equation},
journal = {CUBO, A Mathematical Journal},
volume = {9},
year = {2007},
language = {en},
url = {http://dml.mathdoc.fr/item/1593}
}
Choi, Cheok; Nakamura, Gen; Shirota, Kenji. Variational approach for identifying a coefficient of the wave equation. CUBO, A Mathematical Journal, Tome 9 (2007) 21 p. http://gdmltest.u-ga.fr/item/1593/