Wave and scattering operators for the nonlinear matrix Schrödinger equation on the half-line with a potential

DOI10.1016/j.na.2022.113183zbMath1503.35205OpenAlexW4309694717MaRDI QIDQ2105540

Diego Iniesta, Miguel Ballesteros, Clemente Peña, I. P. Naumkin

Publication date: 8 December 2022

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2022.113183

zbMATH Keywords

scattering operatorwave operatorsgeneral boundary conditionsexceptional potentialsgeneric potentialsinverse wave operatorsnonlinear matrix Schrödinger equationscattering-supercritical nonlinearities

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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