10 citations · 11 across the 6 of their papers we have counts for
10 papers · 1 filter
Hearing the shape of ancient noncollapsed flows in
Wenkui Du, Robert Haslhofer
We consider ancient noncollapsed mean curvature flows in whose tangent flow at is a bubble-sheet. We carry out a fine spectral analysis for the bubble-shee…
The blowdown of ancient noncollapsed mean curvature flows
Wenkui Du, Robert Haslhofer
In this paper, we consider ancient noncollapsed mean curvature flows that do not split off a line. It follows from general theory that th…
Heat flow on time-dependent manifolds
Beomjun Choi, Jianhui Gao, Robert Haslhofer +1
We establish effective existence and uniqueness for the heat flow on time-dependent Riemannian manifolds, under minimal assumptions tailored towards the study of Ricci flow through…
Differential Harnack Inequalities on Path Space
Robert Haslhofer, Eva Kopfer, Aaron Naber
Recall that if satisfies , then the Li-Yau Differential Harnack Inequality tells us for each nonnegative , with its heat fl…
A note on the selfsimilarity of limit flows
Beomjun Choi, Robert Haslhofer, Or Hershkovits
It is a fundamental open problem for the mean curvature flow, and in fact for many partial differential equations, whether or not all blowup limits are selfsimilar. In this short n…
Low complexity solutions of the Allen-Cahn equation on three-spheres
Robert Haslhofer, Mohammad N. Ivaki
In this short note, we prove that on the three-sphere with any bumpy metric there exist at least four solutions of the Allen-Cahn equation with spherical interface and index at mos…