Equivariant schrödinger maps in two spatial dimensions

I. Bejenaru; A. Ionescu; C. Kenig; D. Tataru

doi:10.1215/00127094-2293611

Equivariant schrödinger maps in two spatial dimensions

I. Bejenaru, A. Ionescu, C. Kenig, D. Tataru

Mathematics

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

We consider equivariant solutions for the Schrödinger map problem from ℝ²⁺¹ to S² with energy less than 4π and show that they are global in time and scatter.

Original language	English (US)
Pages (from-to)	1967-2025
Number of pages	59
Journal	Duke Mathematical Journal
Volume	162
Issue number	11
DOIs	https://doi.org/10.1215/00127094-2293611
State	Published - 2013

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1215/00127094-2293611

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title = "Equivariant schr{\"o}dinger maps in two spatial dimensions",

abstract = "We consider equivariant solutions for the Schr{\"o}dinger map problem from ℝ2+1 to S2 with energy less than 4π and show that they are global in time and scatter.",

author = "I. Bejenaru and A. Ionescu and C. Kenig and D. Tataru",

year = "2013",

doi = "10.1215/00127094-2293611",

language = "English (US)",

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pages = "1967--2025",

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T1 - Equivariant schrödinger maps in two spatial dimensions

AU - Bejenaru, I.

AU - Ionescu, A.

AU - Kenig, C.

AU - Tataru, D.

PY - 2013

Y1 - 2013

N2 - We consider equivariant solutions for the Schrödinger map problem from ℝ2+1 to S2 with energy less than 4π and show that they are global in time and scatter.

AB - We consider equivariant solutions for the Schrödinger map problem from ℝ2+1 to S2 with energy less than 4π and show that they are global in time and scatter.

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DO - 10.1215/00127094-2293611

M3 - Article

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VL - 162

SP - 1967

EP - 2025

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

IS - 11

ER -

Equivariant schrödinger maps in two spatial dimensions

Abstract

All Science Journal Classification (ASJC) codes

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