Hamiltonian Floer Theory for Nonlinear Schrödinger Equations and the Small Divisor Problem

DOI10.1093/imrn/rnab053zbMath1500.35257arXiv1904.08830OpenAlexW3155631094MaRDI QIDQ5097030

Oliver Fabert

Publication date: 19 August 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.08830

zbMATH Keywords

nonlinear Schrödinger equationsDiophantine approximationsFloer theory

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Boundary value problems for higher-order elliptic equations (35J40) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Symplectic aspects of Floer homology and cohomology (53D40) Approximation to algebraic numbers (11J68)

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