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

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

2010-01-25

arxiv.org/abs/1001.4488v1

Mathematics

Analysis of PDEs

16 pages

Scientific paper

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

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