On Eigenfunction Expansion of Solutions to the Hamilton Equations |
| |
| Authors: | A Komech E Kopylova |
| |
| Institution: | 1. Faculty of Mathematics, University of Vienna, Vienna, Austria
2. Institute for Information Transmission Problems RAS, Moscow, Russia
|
| |
| 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 in the Hilbert spaces with indefinite metric. Our main result is an application to the eigenfunction expansion for the linearized relativistic Ginzburg–Landau equation. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
