Dispersive Estimates for Schrödinger Operators in Dimensions One and Three

Goldberg, Michael and Schlag, Wilhelm (2004) Dispersive Estimates for Schrödinger Operators in Dimensions One and Three. Communications in Mathematical Physics, 251 (1). pp. 157-178. ISSN 0010-3616. doi:10.1007/s00220-004-1140-5. https://resolver.caltech.edu/CaltechAUTHORS:20170408-133838992

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Abstract

We consider L^1→L^∞ estimates for the time evolution of Hamiltonians H=−Δ+V in dimensions d=1 and d=3 with bound t^(-∂/2). We require decay of the potentials but no regularity. In d=1 the decay assumption is ∫(1+|x|)|V(x)|dx<∞, whereas in d=3 it is |V(x)|≤C(1+|x|)^(−3−).

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Article

Related URLs:

URL	URL Type	Description
http://dx.doi.org/10.1007/s00220-004-1140-5	DOI	Article
https://link.springer.com/article/10.1007/s00220-004-1140-5	Publisher	Article
https://arxiv.org/abs/math/0306108	arXiv	Discussion Paper
http://rdcu.be/q1JB	Publisher	Free ReadCube access

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Funders:

Funding Agency	Grant Number
NSF	DMS-0070538
Alfred P. Sloan Foundation	UNSPECIFIED

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DOI:

10.1007/s00220-004-1140-5

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CaltechAUTHORS:20170408-133838992

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https://resolver.caltech.edu/CaltechAUTHORS:20170408-133838992

Official Citation:

Goldberg, M. & Schlag, W. Commun. Math. Phys. (2004) 251: 157. doi:10.1007/s00220-004-1140-5

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75873

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CaltechAUTHORS

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1Science Import

Deposited On:

13 Apr 2017 20:21

Last Modified:

15 Nov 2021 16:55

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