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- W1955202834 abstract "We study the instability of standing-wave solutions $e^{iomega t}phi_{omega}(x)$ to the inhomogeneous nonlinear Schrödinger equation [ ivarphi_t=-trianglevarphi+|x|^2varphi-|x|^b|varphi |^{p-1}varphi, quad xinmathbb{R}^N, ] where $b gt 0$ and $phi_{omega}$ is a ground-state solution. The results of the instability of standing-wave solutions reveal a balance between the frequency $omega$ of wave and the power of nonlinearity $p$ for any fixed $b gt 0$." @default.
- W1955202834 created "2016-06-24" @default.
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- W1955202834 date "2008-12-01" @default.
- W1955202834 modified "2023-09-25" @default.
- W1955202834 title "Instability of standing waves to the inhomogeneous nonlinear Schrödinger equation with harmonic potential" @default.
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- W1955202834 doi "https://doi.org/10.1215/ijm/1258554361" @default.
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