Dispersion estimates for spherical Schrödinger equations (Q345055)

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scientific article; zbMATH DE number 6656149
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Dispersion estimates for spherical Schrödinger equations
scientific article; zbMATH DE number 6656149

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    Dispersion estimates for spherical Schrödinger equations (English)
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    25 November 2016
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    The authors consider a one-dimensional Schrödinger equation with a real integrable potential and a given angular momentum, with the goal of providing dispersive decay solution estimates for the resulting differential equations. The behavior of the Jost function near the edge of the continuous spectrum is also studied. The authors conduct a thorough analysis and provide lemmas and theorems to acertain their results. The \(n\)-dimensional Schrödinger and related operators studied here are important contributions to contemporary mathematical and physical models.
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    Schrödinger equation
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    Jost function
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    edge of the continuous spectrum
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    dispersive decay solution
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