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  Nonexistence of shrinkers for the harmonic map flow in higher dimensions

Bizon, P., & Wasserman, A. (2015). Nonexistence of shrinkers for the harmonic map flow in higher dimensions. International Mathematics Research Notices, 2015(17), 7757-7762. doi:10.1093/imrn/rnu176.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0B1A-F Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0B1B-D
Genre: Journal Article

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1404.7381.pdf (Preprint), 113KB
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 Creators:
Bizon, Piotr1, Author
Wasserman, Arthur, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, escidoc:24008              

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Free keywords: Mathematics, Analysis of PDEs, math.AP
 Abstract: We prove that the harmonic map flow from the Euclidean space $\mathbb{R}^d$ into the sphere $S^d$ has no equivariant self-similar shrinking solutions in dimensions $d\geq 7$.

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 Dates: 2014-04-292014-09-242015
 Publication Status: Published in print
 Pages: 5 pages, Remark 1 added, matches published version
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1404.7381
DOI: 10.1093/imrn/rnu176
URI: http://arxiv.org/abs/1404.7381
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Title: International Mathematics Research Notices
  Other : Int. Math. Res. Not.
Source Genre: Journal
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Publ. Info: Durham, N.C. : Duke University Press
Pages: - Volume / Issue: 2015 (17) Sequence Number: - Start / End Page: 7757 - 7762 Identifier: ISSN: 1073-7928
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925604772