On the Cauchy problem for the XFEL Schrödinger equation

DOI10.3934/dcdsb.2018131zbMath1406.35351OpenAlexW2797199907MaRDI QIDQ1756874

Dun Zhao, Binhua Feng

Publication date: 27 December 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018131

zbMATH Keywords

Cauchy problemtime-dependent electromagnetic fieldtime-dependent Coulomb potentialXFEL Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (4)

Energy criteria of global existence for a class of Hartree equations with Coulomb potential ⋮ On the ground states for the X‐ray free electron lasers Schrödinger equation ⋮ Optimal Bilinear Control for the X-Ray Free Electron Laser Schrödinger Equation ⋮ On the standing waves for the X-ray free electron laser Schrödinger equation

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