Conserved energies for the one dimensional Gross-Pitaevskii equation: low regularity case

DOI10.1016/j.aim.2023.108996zbMath1515.35253arXiv2204.06293MaRDI QIDQ6396406

Xian Liao, Herbert Koch

Publication date: 13 April 2022

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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