Linear Hamiltonian system in scale of Hilbert spaces

Authors

  • O. Zubelevich Deptartment of Theoretical mechanics, Mechanics and Mathematics Faculty, M. V. Lomonosov Moscow State University, Russia, 119899, Moscow, Vorob'evy gory, MGU Author

Keywords:

Linear PDE, infinite dimensional Hamiltonian system

Subjects:

35A01, 37K05, 35A02

Abstract

We consider an initial value problem for linear Hamiltonian system in the scale of Hilbert spaces and prove an existence and uniqueness theorem. We also prove a version of the Poincaré Recurrence Theorem.

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Published

2017-10-15

Issue

Vol. 69 No. 4 (2017): Vol. 69, Issue 4

Section

Articles

License

Copyright (c) 2017 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.