Local well-posedness of the higher order nonlinear Schr\"odinger equation on the half-line: single boundary condition case

DOI10.1111/sapm.12642arXiv2305.18202MaRDI QIDQ6438360

Türker Özsarı, Dionyssios Mantzavinos, Aykut Alkın

Publication date: 29 May 2023

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for linear higher-order PDEs (35G16) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

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