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

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

2010-01-13

arxiv.org/abs/1001.2297v1

Mathematics

Analysis of PDEs

24 pages

Scientific paper

This paper establish the local (or global, resp.) well-posedness of the heat
flow of biharmonic maps from $R^n$ to a compact Riemannian manifold without
boundary with small local BMO (or BMO, resp.) norms.

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