Strong nonresonance of Schrödinger operators and an averaging theorem

DOI10.1016/0167-2789(95)00115-KzbMath0885.35119OpenAlexW2075451233MaRDI QIDQ1896547

Thomas Kappeler, Sergej B. Kuksin

Publication date: 29 August 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00115-k

zbMATH Keywords

nonlinear perturbationslinear Schrödinger operatorsstrongly nonresonant spectrum

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

KAM for PDEs ⋮ Weakly nonlinear stochastic CGL equations ⋮ An averaging theorem for nonlinear Schrödinger equations with small nonlinearities

Cites Work

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• An averaging theorem for distributed conservative systems and its application to von Kármán's equations
• Multiplicities of the eigenvalues of the Schrödinger equation in any dimension
• Construction de laplaciens dont une partie finie du spectre est donnée
• PERTURBATION OF QUASIPERIODIC SOLUTIONS OF INFINITE-DIMENSIONAL HAMILTONIAN SYSTEMS

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