A Time‐Oscillating Hartree‐Type Schrödinger Equation

Xu Chen

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We consider the time‐oscillating Hartree‐type Schrödinger equation iut + Δu + θ(ωt)(|x|−γ*|u|2)u = 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 + I(θ)(|x|−γ*|U|2)U = 0 for their local well‐posedness and global well‐posedness.

Date: 2014
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https://doi.org/10.1155/2014/950132

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:950132

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