Geodesic
On recovering of the density in the plane domain from incomplete spectral data
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 26, Tome 239 (1997), pp. 218-224

Voir la notice de l'article provenant de la source Math-Net.Ru

An inverse spectral problem of the density recovering is considered. The first $N$ eigenvalues and traces on the boundary of the normal derivatives of eigenfunctions for Dirichlet problem are chosen as input data. The theorem that an error in the density approximation is less than $cN^{-\beta}$, with some positive constants $c$ and $\beta$ is proved. 
@article{ZNSL_1997_239_a17,
     author = {A. S. Starkov},
     title = {On recovering of the density in the plane domain from incomplete spectral data},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {218--224},
     publisher = {mathdoc},
     volume = {239},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_239_a17/}
}
TY  - JOUR
AU  - A. S. Starkov
TI  - On recovering of the density in the plane domain from incomplete spectral data
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1997
SP  - 218
EP  - 224
VL  - 239
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1997_239_a17/
LA  - ru
ID  - ZNSL_1997_239_a17
ER  - 
%0 Journal Article
%A A. S. Starkov
%T On recovering of the density in the plane domain from incomplete spectral data
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 218-224
%V 239
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_239_a17/
%G ru
%F ZNSL_1997_239_a17
A. S. Starkov. On recovering of the density in the plane domain from incomplete spectral data. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 26, Tome 239 (1997), pp. 218-224. http://geodesic.mathdoc.fr/item/ZNSL_1997_239_a17/