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math.AP2026
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…
math.AP2023
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…
math.AP2023★ 1 cited
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…