Dispersive Estimates for the Schrödinger Equation with Potentials of Critical Regularity
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Fernando Cardoso
fernando@dmat.ufpe.br
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Claudio Cuevas
cch@dmat.ufpe.br
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Georgi Vodev
vodev@math.univ-nantes.fr
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Abstract
We prove L1 → L∞ dispersive estimates with a logarithmic loss of derivatives for the Schrödinger group eit(−Δ+V) for a class of real-valued potentials V ∈ C(n−3)/2(â„›n), V(x) = O(〈x〉−δ), where n = 4, 5, δ > 3 if n = 4 and δ > 5 if n = 5.
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Published
2009-12-01
How to Cite
[1]
F. Cardoso, C. Cuevas, and G. Vodev, “Dispersive Estimates for the Schrödinger Equation with Potentials of Critical Regularity”, CUBO, vol. 11, no. 5, pp. 57–70, Dec. 2009.
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