2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.SG2021★ 1 cited
Cuplength estimates for periodic solutions of Hamiltonian particle-field systems
Oliver Fabert, Niek Lamoree
We consider a natural class of time-periodic infinite-dimensional nonlinear Hamiltonian systems modelling the interaction of a classical mechanical system of particles with a scala…
math.SG2021
Floer homology for Hamiltonian PDEs: Fredholm theory
Oliver Fabert, Niek Lamoree
By coupling a Hamiltonian mechanical system with a linear Hamiltonian field theory one obtains an infinite-dimensional Hamiltonian system with regularizing nonlinearity, where the…
math.SG2019★ 2 cited
Time-periodic solutions of Hamiltonian PDEs using pseudoholomorphic curves
Oliver Fabert, Niek Lamoree
We extend the pseudoholomorphic curve methods from Floer theory to infinite-dimensional phase spaces and use our results to prove the existence of a forced time-periodic solution t…