The blowup behavior of the biharmonic map heat flow in four dimensions

Reference:

Moser, R., 2005. The blowup behavior of the biharmonic map heat flow in four dimensions. International Mathematics Research Papers (IMRP), 2005 (7), pp. 351-402.

Related documents:

Official URL:

http://dx.doi.org/10.1155/IMRP.2005.351

Abstract

We study the (intrinsic) biharmonic map heat flow on a four-dimensional domain into a compact Riemannian manifold. We examine its behavior as the first finite-time singularity is approached. At each singular point, we find either a harmonic sphere or a biharmonic map bubbling-off. A further description of the singular set is also given. The proofs rely to a large extent on a blowup analysis of sequences of maps with uniformly bounded energy.

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