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2016 Dispersive estimates in $\mathbb{R}^3$ with threshold eigenstates and resonances
Marius Beceanu
Anal. PDE 9(4): 813-858 (2016). DOI: 10.2140/apde.2016.9.813

Abstract

We prove dispersive estimates in 3 for the Schrödinger evolution generated by the Hamiltonian H = Δ + V, under optimal decay conditions on V, in the presence of zero-energy eigenstates and resonances.

Citation

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Marius Beceanu. "Dispersive estimates in $\mathbb{R}^3$ with threshold eigenstates and resonances." Anal. PDE 9 (4) 813 - 858, 2016. https://doi.org/10.2140/apde.2016.9.813

Information

Received: 2 March 2015; Revised: 17 December 2015; Accepted: 26 February 2016; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1353.35131
MathSciNet: MR3530193
Digital Object Identifier: 10.2140/apde.2016.9.813

Subjects:
Primary: 35J10
Secondary: 47D08

Keywords: pointwise decay estimates , resonances , zero-energy eigenfunctions

Rights: Copyright © 2016 Mathematical Sciences Publishers

Vol.9 • No. 4 • 2016
MSP
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