A regularity criterion for the Schrödinger map

Jishan Fan; Tohru Ozawa

doi:10.1007/978-3-319-12577-0_26

A regularity criterion for the Schrödinger map

Jishan Fan, Tohru Ozawa^*

^*Corresponding author for this work

School of Advanced Science and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We prove a regularity criterion ∇u ∈ L²(0,T; BMO(ℝⁿ)) with 2 ≤ n ≤ 5 for the Schrödinger map. Here BMO is the space of functions with bounded mean oscillations.

Original language	English
Title of host publication	Current Trends in Analysis and Its Applications - Proceedings of the 9th ISAAC Congress, 2013
Editors	Vladimir V. Mityushev, Michael V. Ruzhansky
Publisher	Springer International Publishing
Pages	217-223
Number of pages	7
ISBN (Print)	9783319125763
DOIs	https://doi.org/10.1007/978-3-319-12577-0_26
Publication status	Published - 2015
Event	9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013 - Krakow, Poland Duration: 2013 Aug 5 → 2013 Aug 9

Publication series

Name	Trends in Mathematics
Volume	2
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Other

Other	9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013
Country/Territory	Poland
City	Krakow
Period	13/8/5 → 13/8/9

Keywords

Landau-Lifshitz
Regularity criterion
Schrödinger map

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/978-3-319-12577-0_26

Cite this

A regularity criterion for the Schrödinger map. / Fan, Jishan; Ozawa, Tohru.
Current Trends in Analysis and Its Applications - Proceedings of the 9th ISAAC Congress, 2013. ed. / Vladimir V. Mityushev; Michael V. Ruzhansky. Springer International Publishing, 2015. p. 217-223 (Trends in Mathematics; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Fan, J & Ozawa, T 2015, A regularity criterion for the Schrödinger map. in VV Mityushev & MV Ruzhansky (eds), Current Trends in Analysis and Its Applications - Proceedings of the 9th ISAAC Congress, 2013. Trends in Mathematics, vol. 2, Springer International Publishing, pp. 217-223, 9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013, Krakow, Poland, 13/8/5. https://doi.org/10.1007/978-3-319-12577-0_26

@inproceedings{d61c3fca95144d5bb6adb22575f21f01,

title = "A regularity criterion for the Schr{\"o}dinger map",

abstract = "We prove a regularity criterion ∇u ∈ L2(0,T; BMO(ℝn)) with 2 ≤ n ≤ 5 for the Schr{\"o}dinger map. Here BMO is the space of functions with bounded mean oscillations.",

keywords = "Landau-Lifshitz, Regularity criterion, Schr{\"o}dinger map",

author = "Jishan Fan and Tohru Ozawa",

note = "Funding Information: J. Fan is partially supported by NSFC (No. 11171154). Publisher Copyright: {\textcopyright} 2015 Springer International Publishing Switzerland.; 9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013 ; Conference date: 05-08-2013 Through 09-08-2013",

year = "2015",

doi = "10.1007/978-3-319-12577-0_26",

language = "English",

isbn = "9783319125763",

series = "Trends in Mathematics",

publisher = "Springer International Publishing",

pages = "217--223",

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AU - Ozawa, Tohru

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AB - We prove a regularity criterion ∇u ∈ L2(0,T; BMO(ℝn)) with 2 ≤ n ≤ 5 for the Schrödinger map. Here BMO is the space of functions with bounded mean oscillations.

KW - Landau-Lifshitz

KW - Regularity criterion

KW - Schrödinger map

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DO - 10.1007/978-3-319-12577-0_26

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BT - Current Trends in Analysis and Its Applications - Proceedings of the 9th ISAAC Congress, 2013

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PB - Springer International Publishing

T2 - 9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013

Y2 - 5 August 2013 through 9 August 2013

ER -

A regularity criterion for the Schrödinger map

Abstract

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Keywords

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