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- W2017697893 abstract "By deriving a variant of interpolation inequality, we obtain a sharp criterion for global existence and blow-up of solutions to the inhomogeneous nonlinear Schrödinger equation with harmonic potential $$ iphi t = - Delta phi + left| x right|^2 phi - left| x right|^b left| phi right|^{p - 2} phi $$ . We also prove the existence of unstable standing-wave solutions via blow-up under certain conditions on the unbounded inhomogeneity and the power of nonlinearity, as well as the frequency of the wave." @default.
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- W2017697893 date "2010-08-03" @default.
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- W2017697893 title "On the inhomogeneous nonlinear Schrödinger equation with harmonic potential and unbounded coefficient" @default.
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- W2017697893 doi "https://doi.org/10.1007/s10587-010-0046-y" @default.
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