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Advances in Calculus of Variations

Managing Editor: Duzaar, Frank / Kinnunen, Juha

Editorial Board Member: Armstrong, Scott N. / Astala, Kari / Colding, Tobias / Dacorogna, Bernard / Dal Maso, Gianni / DiBenedetto, Emmanuele / Fonseca, Irene / Finster, Felix / Gianazza, Ugo / Gursky, Matthew / Hardt, Robert / Ishii, Hitoshi / Kristensen, Jan / Manfredi, Juan / Martell, Jose Maria / McCann, Robert / Mingione, Giuseppe / Nystrom, Kaj / Pacard, Frank / Preiss, David / Riviére, Tristan / Schaetzle, Reiner / Silvestre, Luis

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Well-posedness for the heat flow of polyharmonic maps with rough initial data

Tao Huang / Changyou Wang
Published Online: 2010-11-05 | DOI: https://doi.org/10.1515/acv.2010.025


We establish both local and global well-posedness of the heat flow of polyharmonic maps from to a compact Riemannian manifold without boundary for initial data with small BMO norms.

Keywords.: Polyharmonic maps; BMO spaces; well-posedness

About the article

Received: 2010-02-12

Accepted: 2010-07-22

Published Online: 2010-11-05

Published in Print: 2011-04-01

Citation Information: Advances in Calculus of Variations, ISSN (Online) 1864-8266, ISSN (Print) 1864-8258, DOI: https://doi.org/10.1515/acv.2010.025.

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