THE ENERGY GRAPH OF THE NONLINEAR SCHRÖDINGER EQUATION, OPEN PROBLEMS

DOI10.1142/S021819671340016XzbMath1278.35232OpenAlexW2135481043MaRDI QIDQ2842027

Claudio Procesi

Publication date: 30 July 2013

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021819671340016x

zbMATH Keywords

combinatoricsnon-linear PDEs

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (1)

On a separation and irreducibility problem of polynomials arising from the nonlinear Schrödinger equation

Cites Work

• KAM for the quantum harmonic oscillator
• A normal form for the Schrödinger equation with analytic non-linearities
• Birkhoff normal form for partial differential equations with tame modulus
• Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation
• Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations
• Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)

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