Soojung Kim

collaborators

2 papers

math.AP2018

Vanishing time behavior of solutions to the fast diffusion equation

Kin Ming Hui, Soojung Kim

Let $n \geq 3$ , $0 < m < \frac{n - 2}{n}$ and $T > 0$ . We construct positive solutions to the fast diffusion equation $u_{t} = Δ u^{m}$ in $R^{n} \times (0, T)$ , which vanish at time $T$ . By…

math.AP2015

Harnack inequality for degenerate and singular operators of $p$ -Laplacian type on Riemannian manifolds

Soojung Kim

We study viscosity solutions to degenerate and singular elliptic equations of $p$ -Laplacian type on Riemannian manifolds. The Krylov-Safonov type Harnack inequality for the $p$ -Lap…

Vanishing time behavior of solutions to the fast diffusion equation

Harnack inequality for degenerate and singular operators of p-Laplacian type on Riemannian manifolds

Harnack inequality for degenerate and singular operators of $p$ -Laplacian type on Riemannian manifolds