31 citations · 37 across the 6 of their papers we have counts for
6 papers
Prescribing Oscillation Behavior of Solutions to the Heat Equation on via the Initial Data and its Average Integral
Dong-Ho Tsai
\begin{abstract} Motivated by a classical stabilization result for solution to the Cauchy problem of the heat equationon , we co…
Evolution of Locally Convex Closed Curves in Nonlocal Curvature Flows
Natasa Sesum, Dong-Ho Tsai, Xiao-Liu Wang
We provide sufficient conditions on an initial curve for the area preserving and the length preserving curvature flows of curves in a plane, to develop a singularity at some finite…
On Area-preserving and Length-preserving Nonlocal Flow of Convex Closed Plane Curves
Dong-Ho Tsai, Xiao-Liu Wang
For any we study -type length-preserving and area-preserving nonlocal flow of convex closed plane curves and show that these two types of flow evolve such curves into r…
On a General Linear Nonlocal Curvature Flow of Convex Plane Curves
Yu-Chu Lin, Dong-Ho Tsai
Motivated by Pan-Yang [PY] and Ma-Cheng [MC], we study a general linear nonlocal curvature flow for convex closed plane curves and discuss the short time existence and asymptotic c…
Contracting Convex Immersed Closed Plane Curves with Slow Speed of Curvature
Yu-Chu Lin, Chi-Cheung Poon, Dong-Ho Tsai
We study the contraction of a convex immersed plane curve with speed (1/α)k^{α}, where αin(0,1] is a constant and show that, if the blow-up rate of the curvature is of type one, it…
Nonlocal Flow of Convex Plane Curves and Isoperimetric Inequalities
Yu-Chu Lin, Dong-Ho Tsai
In the first part of the paper we survey some nonlocal flows of convex plane curves ever studied so far and discuss properties of the flows related to enclosed area and length, esp…