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

Tao Huang, Changyou Wang
2011 Advances in Calculus of Variations  
We establish both local and global well-posedness of the heat flow of polyharmonic maps from R n to a compact Riemannian manifold without boundary for initial data with small BMO norms.
doi:10.1515/acv.2010.025 fatcat:zf7nk7j5cjcohhg6ivwwjx7gei