On the eigenfunction expansion for the Hamilton operators
Analysis of PDEs
2014-05-19 v1
Abstract
A spectral representation for solutions to linear Hamilton equations with nonnegative energy in Hilbert spaces is obtained. This paper continues our previous work on Hamilton equations with positive definite energy. Our approach is a special version of M. Krein's spectral theory of -selfadjoint operators in Hilbert spaces with indefinite metric. As a principal application of these results, we justify the eigenfunction expansion for linearized nonlinear relativistic Ginzburg-Landau equations.
Cite
@article{arxiv.1405.4122,
title = {On the eigenfunction expansion for the Hamilton operators},
author = {A. Komech and E. Kopylova},
journal= {arXiv preprint arXiv:1405.4122},
year = {2014}
}
Comments
29 pages, 0 figures, accepted in J. Spectral Theory. arXiv admin note: substantial text overlap with arXiv:1308.0485