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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| 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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