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

preprint2010arXivOpen access

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

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