Existence of global solutions to the nonlocal Schr\"{o}dinger equation on the line

DOI10.1111/sapm.12636arXiv2207.04151OpenAlexW4386113550MaRDI QIDQ6404455

En-gui Fan, Yi Zhao

Publication date: 8 July 2022

Full work available at URL: https://doi.org/10.1111/sapm.12636

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Volterra integral equations (45D05) Riemann-Hilbert problems in context of PDEs (35Q15) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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