pith. sign in

arxiv: 1708.08571 · v1 · pith:KUJWE3ZAnew · submitted 2017-08-29 · 🧮 math.AP

Finite time blowup of the n-harmonic flow on n-manifolds

classification 🧮 math.AP
keywords flowharmoniccitefiniteno-neckresulttimeapplication
0
0 comments X
read the original abstract

We generalize the no-neck result of Qing-Tian \cite{QT} to show that there is no neck during blowing up for the $n$-harmonic flow as $t\to\infty$. As an application of the no-neck result, we settle a conjecture of Hungerb\"uhler \cite {Hung} by constructing an example to show that the $n$-harmonic map flow on an $n$-dimensional Riemannian manifold blows up in finite time for $n\geq 3$.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.