EMIS ELibM Electronic Journals MATEMATIČKI VESNIK
Vol. 69, No. 4, pp. 259–270 (2017)

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Linear Hamiltonian system in scale of Hilbert spaces

O. Zubelevich

Deptartment of Theoretical mechanics, Mechanics and Mathematics Faculty, M. V. Lomonosov Moscow State University, Russia, 119899, Moscow, Vorob'evy gory, MGU E-mail: ozubel@yandex.ru

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 Poincar\'e Recurrence Theorem.

Keywords: Linear PDE; infinite dimensional Hamiltonian system.

Classification (MSC2000): 35A01; 37K05, 35A02

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Electronic fulltext finalized on: 8 Sep 2017. This page was last modified: 25 Sep 2018.

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