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Higher order neck analysis for harmonic maps and its applications

Thursday, May 9th, 2019, 1:00 PM  闵行数学楼401报告厅
Abstract: We shall prove some refined estimate on the neck region when a sequence of harmonic maps from surfaces blow up. It generalizes the well-known energy identity and no neck theorem of harmonic maps. We then discuss applications, which include a further blow-up of the neck region and an inequality about the nullity and index of the sequence.
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