On eigenfunction expansion of solutions to the Hamilton equations
Analysis of PDEs
2015-06-16 v3
Abstract
We establish a spectral representation for solutions to linear Hamilton equations with positive definite energy in a Hilbert space. Our approach is a special version of M. Krein's spectral theory of J-selfadjoint operators is the Hilbert spaces with an indefinite metric. Our main result is an application to the eigenfunction expansion for the linearized relativistic Ginzburg-Landau equation.
Cite
@article{arxiv.1308.0485,
title = {On eigenfunction expansion of solutions to the Hamilton equations},
author = {Alexander Komech and Elena Kopylova},
journal= {arXiv preprint arXiv:1308.0485},
year = {2015}
}
Comments
18 pages, 0 figures