On the fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances (Q2415296)
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| English | On the fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances |
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On the fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances (English)
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21 May 2019
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The authors study the fourth order Schrödinger operator \(H = (-\Delta)^ 2 + V\) for a decaying potential \(V\) in four dimensions. They provide a full classification of the different types of zero energy resonances and study the effect of each type on the time decay in the dispersive bounds.
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fourth order Schrödinger operator
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resonance
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decaying potential
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