8 citations · 19 across the 25 of their papers we have counts for
Showing 2015 · math.SGShow all
2 papers · 2 filters
math.SG2015★ 1 cited
Floer theory for Hamiltonian PDE using model theory
Oliver Fabert
Under natural restrictions it is known that a nonlinear Schrödinger equation is a Hamiltonian PDE which defines a symplectic flow on a symplectic Hilbert space preserving the Hilbe…
math.SG2015
Infinite-dimensional symplectic non-squeezing using non-standard analysis
Oliver Fabert
We prove a non-squeezing result for infinite-dimensional Hamiltonian flows using non-standard model theory. For this we prove the existence of a corresponding family of pseudoholom…