A Time-Oscillating Hartree-Type Schrödinger Equation

We consider the time-oscillating Hartree-type Schrödinger equation iut+Δu+θωtx-γ*u2u=0, where θ is a periodic function. For the mean value I(θ) of θ, we show that the solution uω converges to the solution of iUt+ΔU+Iθx-γ*U2U=0 for their local well-posedness and global well-posedness.

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Bibliographic Details
Main Author: Xu Chen
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/950132
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