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

DOI10.1016/j.aim.2023.108996OpenAlexW4361278384MaRDI QIDQ2699230

Xian Liao, Herbert Koch

Publication date: 26 April 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.06293

zbMATH Keywords

regularizationtransmission coefficientGross-Pitaevskii equationconserved energiesasymptotic phase changerenormalized momentum

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)

Related Items

Global-in-time well-posedness of the one-dimensional hydrodynamic Gross-Pitaevskii equations without vacuum ⋮ Eigenvalue Analysis of the Lax Operator for the One-Dimensional Cubic nonlinear Defocusing Schrödinger Equation

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