13 citations · 19 across the 14 of their papers we have counts for
20 papers
Optimal Weighted Smoothing and Asymptotics of Ancient Solutions for Fast Diffusion Equations
Beomjun Choi, Xiqin Jiang, Hua-Yang Wang +1
The Cauchy--Dirichlet problem for the fast diffusion equation on a smooth bounded domain admits a natural bound in the weighted space , where is the first Dirichle…
Continuous family of surfaces translating by powers of Gauss curvature
Beomjun Choi, Kyeongsu Choi, Soojung Kim
This paper shows the existence of convex translating surfaces under the flow by the -th power of Gauss curvature for the sub-affine-critical regime . The key aspect…
Finite-dimensional leading order dynamics for the fast diffusion equation near extinction
Beomjun Choi, Christian Seis
The fast diffusion equation is analyzed on a bounded domain with Dirichlet boundary conditions, for which solutions are known to extinct in finite time. We construct invariant mani…
Asymptotics for slowly converging evolution equations
Beomjun Choi, Pei-Ken Hung
We investigate slowly converging solutions for non-linear evolution equations of elliptic or parabolic type. These equations arise from the study of isolated singularities in geome…
On existence of hypersurfaces translating by powers of Gauss curvature
Beomjun Choi
In this paper we construct complete convex hypersurfaces in which translate under the flow by powers of the Gauss curvature. The level set…
Asymptotics near extinction for nonlinear fast diffusion on a bounded domain
Beomjun Choi, Robert J. McCann, Christian Seis
On a smooth bounded Euclidean domain, Sobolev-subcritical fast diffusion with vanishing boundary trace is known to lead to finite-time extinction, with a vanishing profile selected…