S. Hsu

activity

20052022

most citedUniform Sobolev inequalities for manifolds evolving by Ricci flow

17 citations · 45 across the 23 of their papers we have counts for

collaborators

28 papers

math.AP2022

Asymptotic behaviour of the finite blow-up points solutions of the fast diffusion equation

Shu-Yu Hsu

Let $n \geq 3$ , $0 < m < \frac{n - 2}{n}$ , $i_{0} \in Z^{+}$ , $Ω \subset R^{n}$ be a smooth bounded domain, $a_{1}, a_{2}, \dots, a_{i_{0}} \in Ω$ , $\widehatΩ=Ω\setminus\{a_1,a_2,\dots,a_{i_0…

math.DG2021

A new proof for the existence of rotationally symmetric gradient Ricci solitons

Shu-Yu Hsu

We give a new proof for the existence of rotationally symmetric steady and expanding gradient Ricci solitons in dimension $n + 1$ , $2 \leq n \leq 4$ , with metric $g=\frac{da^2}{h(a^2)}+a…

math.AP2020

Another proof of the existence of homothetic solitons of the inverse mean curvature flow

Shu-Yu Hsu

We will give a new proof of the existence of non-compact homothetic solitons of the inverse mean curvature flow (cf. \cite{DLW}) in $R^{n} \times R$ , $n \geq 2$ , of th…

math.AP2019

Super fast vanishing solutions of the fast diffusion equation

Shu-Yu Hsu

We will extend a recent result of B.Choi, P.Daskalopoulos and J.King. For any $n \geq 3$ , $0 < m < \frac{n - 2}{n + 2}$ and $γ > 0$ , we will construct subsolutions and supersolutions of the fa…

math.AP2017

Global behaviour of solutions of the fast diffusion equation

Shu-Yu Hsu

We will extend a recent result of B.~Choi and P.~Daskalopoulos (\cite{CD}). For any $n \geq 3$ , $0 < m < \frac{n - 2}{n}$ , $m \neq = \frac{n - 2}{n + 2}$ , $β > 0$ and $λ > 0$ , we prove the higher order…

math.DG2017

Another proof of the local curvature estimate for the Ricci flow

Shu-Yu Hsu

By using the De Giorgi iteration method we will give a new simple proof of the recent result of B.Kotschwar, O.Munteanu, J.Wang [KMW] and N.Sesum [S] on the local boundedness of th…