Strict type-II blowup in harmonic map flow

Abstract

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

Final version, to appear in Proc. AMS (omitting first appendix)

References in corpus (1)

• Stable blow up dynamics for the 1-corotational energy critical harmonic heat flow