Averaging of the nonlinear Schrödinger equation with highly oscillatory magnetic potentials

DOI10.1016/j.na.2017.02.028zbMath1367.35155OpenAlexW2595699803MaRDI QIDQ2396848

Binhua Feng

Publication date: 26 May 2017

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.2017.02.028

zbMATH Keywords

convergencenonlinear Schrödinger equationaveraged equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Cites Work

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• A Schrödinger equation with time-oscillating nonlinearity
• On the XFEL Schrödinger equation: highly oscillatory magnetic potentials and time averaging
• Remarks on Non-Linear Schrödinger Equation with Magnetic Fields
• Endpoint Strichartz estimates
• Numerical Simulations of X-Ray Free Electron Lasers (XFEL)

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