Strict type-II blowup in harmonic map flow

2021/12/28 by Waldron, Alex · 1 citation
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2112.14255

Abstract

A finite-time singularity of 2D harmonic map flow will be called "strictly type-II" if the outer energy scale satisfies λ(t) = O(T - t)^{(1 + α)/(2)}. We prove that the body map at a strict type-II blowup is Hölder continuous.

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