TY - JOUR
T1 - The blowup behavior of the biharmonic map heat flow in four dimensions
AU - Moser, Roger
PY - 2005
Y1 - 2005
N2 - 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.
AB - 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.
UR - http://dx.doi.org/10.1155/IMRP.2005.351
U2 - 10.1155/IMRP.2005.351
DO - 10.1155/IMRP.2005.351
M3 - Article
SN - 1687-3017
VL - 2005
SP - 351
EP - 402
JO - International Mathematics Research Papers (IMRP)
JF - International Mathematics Research Papers (IMRP)
IS - 7
ER -