Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part VIII, Tome 73 (1977), pp. 217-223
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B. S. Pavlov; M. D. Faddeev. Construction of a self-adjoint dilatation for a problem with impedance boundary condition. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part VIII, Tome 73 (1977), pp. 217-223. http://geodesic.mathdoc.fr/item/ZNSL_1977_73_a17/
@article{ZNSL_1977_73_a17,
author = {B. S. Pavlov and M. D. Faddeev},
title = {Construction of a self-adjoint dilatation for a problem with impedance boundary condition},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {217--223},
year = {1977},
volume = {73},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_73_a17/}
}
TY - JOUR
AU - B. S. Pavlov
AU - M. D. Faddeev
TI - Construction of a self-adjoint dilatation for a problem with impedance boundary condition
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1977
SP - 217
EP - 223
VL - 73
UR - http://geodesic.mathdoc.fr/item/ZNSL_1977_73_a17/
LA - ru
ID - ZNSL_1977_73_a17
ER -
%0 Journal Article
%A B. S. Pavlov
%A M. D. Faddeev
%T Construction of a self-adjoint dilatation for a problem with impedance boundary condition
%J Zapiski Nauchnykh Seminarov POMI
%D 1977
%P 217-223
%V 73
%U http://geodesic.mathdoc.fr/item/ZNSL_1977_73_a17/
%G ru
%F ZNSL_1977_73_a17
We study the spectral problem $$ \Delta u+k^2u=0,\quad\dfrac{\partial u}{\partial n}-ik\sigma u|_{\delta\Omega}=0,\quad\sigma\geqslant0. $$ We construct a self-adjoint dilatation and the problem is reduced to the investigation of a dissipative operator in a space with energy metric.
