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Hamiltonian Floer theory for nonlinear Schr\"odinger equations and the small divisor problem by Fabert, Oliver is a scholarly article available to read on EtoBox.

What is Hamiltonian Floer theory for nonlinear Schr\"odinger equations and the small divisor problem about?

We prove the existence of infinitely many time-periodic solutions of nonlinear Schr\"odinger equations using pseudo-holomorphic curve methods from Hamiltonian Floer theory. For the generalization of the Gromov-Floer compactness theorem to infinite dimensions, we show how to solve the arising small divisor problem by combining elliptic methods with results from the theory of diophantine approximations.

Author

Fabert, Oliver

Published

2019

Language

EN