On one inverse spectral problem relatively domain
Spectral Theory
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
Different practical problems, espesially, problems of hydrodynamics, elasticity theory, geophysics and aerodynamics can be reduced to finding of an optimal shape. The investigation of these problems is based on the study of depending domain of the functiuonals their first variation and gradient. In the paper the inverse problem relatively domain is considered for two-dimensional Schrodinger operator and operator and the definition of functiuons is introduced. The method is proposed for for the determination of the domain by given set of functions.
Cite
@article{arxiv.math/0512434,
title = {On one inverse spectral problem relatively domain},
author = {Yusif S. Gasimov},
journal= {arXiv preprint arXiv:math/0512434},
year = {2007}
}
Comments
9 pages, was repoted in the conference COIA2005