English

Strict type-II blowup in harmonic map flow

Differential Geometry 2026-04-17 v2 Analysis of PDEs

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(Tt)1+α2.\lambda(t) = O(T - t)^{\frac{1 + \alpha}{2}}. We prove that the body map at a strict type-II blowup is H\"older continuous.

Keywords

Cite

@article{arxiv.2112.14255,
  title  = {Strict type-II blowup in harmonic map flow},
  author = {Alex Waldron},
  journal= {arXiv preprint arXiv:2112.14255},
  year   = {2026}
}

Comments

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

R2 v1 2026-06-24T08:33:56.564Z