On the dimension of divergence sets of dispersive equations

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On the dimension of divergence sets of dispersive equations. / Barceló, JA; Bennett, Jonathan; Carbery, A; Rogers, KM.

In: Mathematische Annalen, Vol. 349, No. 3, 01.03.2011, p. 599-622.

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Barceló, JA ; Bennett, Jonathan ; Carbery, A ; Rogers, KM. / On the dimension of divergence sets of dispersive equations. In: Mathematische Annalen. 2011 ; Vol. 349, No. 3. pp. 599-622.

Bibtex

@article{e5403c42cb694986a8c35d64e930bfdc,
title = "On the dimension of divergence sets of dispersive equations",
abstract = "We refine results of Carleson, Sjogren and Sjolin regarding the pointwise convergence to the initial data of solutions to the Schrodinger equation. We bound the Hausdorff dimension of the sets on which convergence fails. For example, with initial data in, the sets of divergence have dimension at most one.",
author = "JA Barcel{\'o} and Jonathan Bennett and A Carbery and KM Rogers",
year = "2011",
month = mar,
day = "1",
doi = "10.1007/s00208-010-0529-z",
language = "English",
volume = "349",
pages = "599--622",
journal = "Mathematische Annalen",
issn = "0025-5831",
publisher = "Springer",
number = "3",

}

RIS

TY - JOUR

T1 - On the dimension of divergence sets of dispersive equations

AU - Barceló, JA

AU - Bennett, Jonathan

AU - Carbery, A

AU - Rogers, KM

PY - 2011/3/1

Y1 - 2011/3/1

N2 - We refine results of Carleson, Sjogren and Sjolin regarding the pointwise convergence to the initial data of solutions to the Schrodinger equation. We bound the Hausdorff dimension of the sets on which convergence fails. For example, with initial data in, the sets of divergence have dimension at most one.

AB - We refine results of Carleson, Sjogren and Sjolin regarding the pointwise convergence to the initial data of solutions to the Schrodinger equation. We bound the Hausdorff dimension of the sets on which convergence fails. For example, with initial data in, the sets of divergence have dimension at most one.

U2 - 10.1007/s00208-010-0529-z

DO - 10.1007/s00208-010-0529-z

M3 - Article

VL - 349

SP - 599

EP - 622

JO - Mathematische Annalen

JF - Mathematische Annalen

SN - 0025-5831

IS - 3

ER -