39 citations · 169 across the 38 of their papers we have counts for
16 papers · 1 filter
Mean curvature flow near a peanut solution
Sigurd Angenent, Panagiota Daskalopoulos, Natasa Sesum
It was shown by Angenent, Altschuler and Giga, and by Angenent and Velazquez that there exist closed mean curvature flow solutions that extinct to a point in finite time, without e…
Dynamics of Convex Mean Curvature Flow
Sigurd Angenent, Panagiota Daskalopoulos, Natasa Sesum
There is an extensive and growing body of work analyzing convex ancient solutions to Mean Curvature Flow (MCF), or equivalently of Rescaled Mean Curvature Flow (RMCF). The goal of…
Type II smoothing in mean curvature flow
Sigurd Angenent, Panagiota Daskalopoulos, Natasa Sesum
In 1994 Velazquez constructed a smooth \(O(4)\times O(4)\) invariant Mean Curvature Flow that forms a type-II singularity at the origin in space-time. Stolarski very recently showe…
Uniqueness of ancient compact non-collapsed solutions to the 3-dimensional Ricci flow
Panagiota Daskalopoulos, Natasa Sesum
In this paper we study the classification of compact -noncollapsed ancient solutions to the 3-dimensional Ricci flow which are rotationally and reflection symmetric. We prove th…
Weak and smooth solutions for a fractional Yamabe flow: the case of general compact and locally conformally flat manifolds
Panagiota Daskalopoulos, Yannick Sire, Juan-Luis Vázquez
As a counterpart of the classical Yamabe problem, a fractional Yamabe flow has been introduced by Jin and Xiong (2014) on the sphere. Here we pursue its study in the context of gen…
C^{1,1} regularity for degenerate elliptic obstacle problems
Panagiota Daskalopoulos, Paul M. N. Feehan
The Heston stochastic volatility process is a degenerate diffusion process where the degeneracy in the diffusion coefficient is proportional to the square root of the distance to t…