MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Linear Hamiltonian system in scale of Hilbert spaces
O. Zubelevich

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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Keywords: Linear PDE; infinite dimensional Hamiltonian system.

MSC: 35A01, 37K05, 35A02

Pages:  259$-$270     

Volume  69 ,  Issue  4 ,  2017