Recent progress on quasi-periodic lattice Schrödinger operators and Hamiltonian PDEs

DOI10.1070/RM2004v059n02ABEH000716zbMath1113.47021MaRDI QIDQ4829858

Jean Bourgain

Publication date: 1 December 2004

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

KAM theoryHamiltonian partial differential equationslattice Schrödinger operator

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Random linear operators (47B80) Linear difference operators (47B39) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

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