TY - JOUR
T1 - Bubbling of the heat flows for harmonic maps from surfaces
AU - Qing, Jie
AU - Tian, Gang
PY - 1997/4
Y1 - 1997/4
N2 - In this article we prove that any Palais-Smale sequence of the energy functional on surfaces with uniformly L2-bounded tension fields converges pointwise, by taking a subsequence if necessary, to a map from connected (possibly singular) surfaces, which consist of the original surfaces and finitely many bubble trees. We therefore get the corresponding results about how the solutions of heat flow for harmonic maps from surfaces form singularities at infinite time.
AB - In this article we prove that any Palais-Smale sequence of the energy functional on surfaces with uniformly L2-bounded tension fields converges pointwise, by taking a subsequence if necessary, to a map from connected (possibly singular) surfaces, which consist of the original surfaces and finitely many bubble trees. We therefore get the corresponding results about how the solutions of heat flow for harmonic maps from surfaces form singularities at infinite time.
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U2 - 10.1002/(SICI)1097-0312(199704)50:4<295::AID-CPA1>3.0.CO;2-5
DO - 10.1002/(SICI)1097-0312(199704)50:4<295::AID-CPA1>3.0.CO;2-5
M3 - Article
AN - SCOPUS:0031481224
SN - 0010-3640
VL - 50
SP - 295
EP - 310
JO - Communications on Pure and Applied Mathematics
JF - Communications on Pure and Applied Mathematics
IS - 4
ER -