Hamiltonian Spectral Flows, the Maslov Index, and the Stability of Standing Waves in the Nonlinear Schrodinger Equation

DOI10.1137/22m1533797zbMath1526.34064arXiv2211.04731OpenAlexW4387098939MaRDI QIDQ6049484

Yuri Latushkin, Robert Marangell, Unnamed Author, Graham Cox

Publication date: 17 October 2023

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.04731

zbMATH Keywords

stabilityeigenvaluesnonlinear Schrödinger equationHamiltonian systemsdifferential operatorsMaslov index

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Lagrangian submanifolds; Maslov index (53D12) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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