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  The Gradient Flow of the Möbius Energy Near Local Minimizers

Blatt, S. (2012). The Gradient Flow of the Möbius Energy Near Local Minimizers. Calculus of variations and partial differential equations, 43, 403-439. doi:10.1007/s00526-011-0416-9.

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 Creators:
Blatt, Simon1, Author           
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: In this article we show that for initial data close to local minimizers of the Möbius energy the gradient flow exists for all time and converges smoothly to a local minimizer after suitable reparametrizations. To prove this, we show that the heat flow of the Möbius energy possesses a quasilinear structure which allows us to derive new short-time existence results for this evolution equation and a Łojasiewicz-Simon gradient inequality for the Möbius energy.

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 Dates: 2010-03-24201120112012
 Publication Status: Issued
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 Rev. Type: No review
 Identifiers: DOI: 10.1007/s00526-011-0416-9
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Title: Calculus of variations and partial differential equations
Source Genre: Journal
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Publ. Info: Heidelberg : Springer International
Pages: - Volume / Issue: 43 Sequence Number: - Start / End Page: 403 - 439 Identifier: ISSN: 0944-2669
CoNE: https://pure.mpg.de/cone/journals/resource/954925572912