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.

Keywords: Linear PDE; infinite dimensional Hamiltonian system.

MSC: 35A01, 37K05, 35A02

Pages:  259$-$270     

Volume  69 ,  Issue  4 ,  2017