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• W3106460596 abstract "We shall study the following initial value problem: $$begin{array}{llll} {bf i}partial_t u - Delta u + V(x) u&=&0, hbox{ } (t, x) in {mathbf R} times {mathbf R}^n,[3pt] quad quad quad quad quad quad u(0)&=&7f,nonumber end{array}$$ where V(x) is a real short–range potential, whose radial derivative satisfies some supplementary assumptions. More precisely we shall present a family of identities satisfied by the solutions to (0.1) that generalizes the ones proved in [12] and [21] in the free case. As a by–product of these identities we deduce some uniqueness results for solutions to (0.1), and a lower bound for the so-called local smoothing which becomes an identity in a precise asymptotic sense." @default.
• W3106460596 created "2020-11-23" @default.
• W3106460596 creator A5051897690 @default.
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• W3106460596 date "2008-02-22" @default.
• W3106460596 modified "2023-09-23" @default.
• W3106460596 title "Asymptotic Lower Bounds for a Class of Schrödinger Equations" @default.
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• W3106460596 doi "https://doi.org/10.1007/s00220-008-0432-6" @default.
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