ISHII Katsuyuki
Last updated: Sep 14, 2019 at 03:02
 Name  ISHII Katsuyuki 

Affiliation  Kobe University 

Section  Graduate School of Maritime Sciences Department of Maritime Sciences 

Job title  Professor 


Published Papers
Remarks on the convergence of an algorithm for curvaturedependent motions of hypersurfaces
ISHII KATSUYUKI, Takahiro Izumi
Discrete and continuous dynamical systems Series A 38(3) Mar 2018 [Refereed]
We consider a thresholdtype algorithm for curvaturedependent motions
(CDM for short) of hypersurfaces. This algorithm was numerically studied by
Kimura  Notsu, Esedo\={g}lu  Ruuth  Tsai
and Mohammad  \v{S}vadlenka, where they
used the ...
Remarks on Viscosity Solutions for Mean Curvature Flow with Obstacles
ISHII KATSUYUKI, H. Kamata, S. Koike
Mathematics for Nonlinear Phenomena  Analysis and Computation 215 2017 [Refereed][Invited]
Obstacle problems for mean curvature flow equations are concerned. Exsitence of Lipschitz continuous viscosity solutions are obtained under several hypothesis. Comparison principle globally in time is also discussed.
ISHII KATSUYUKI, Kimura Masato
Interfaces and Free Boundaries 18(4) 479522 Dec 2016 [Refereed][Invited]
We consider a thresholdtype algorithm for
curvaturedependent motions of hypersurfaces.
This algorithm was numerically studied by [27],
[9] and [35], where they used the signed distance
function. It is also regarded as a variant of
the Bence...
ISHII KATSUYUKI
Nonlinear Differential Equations and Applications NoDEA 21(2) 219252 Apr 2014 [Refereed]
In 2004 Chambolle proposed an algorithm for mean curvature flow based on a variational problem. Since then, the convergence, extensions and applications of his algorithm have been studied by many people. In this paper we give a proof of the conver...
An areaminimizing scheme for anisotropic meancurvature flow.
ISHII KATSUYUKI, ETO TOKUHIRO, GIGA YOSHIKAZU
Advances in Differential Equations 17(1112) 10311084 Jul 2012 [Refereed]
Books etc
Image processing and curvature flow equations Katsuyuki Ishii (Part:Joint Work) Saiensu=sha Co., Ltd. Publishers Apr 2008 
Conference Activities & Talks
Approximate problems of a thresholdtype to mean curvature flow [Invited]
ISHII KATSUYUKI
Workshop on applied mathematics 2018 Dec 2018
Convergence of a thresholdtype algorithm to curvaturedependent motions [Invited]
ISHII KATSUYUKI
Viscosity solutions and Related Topics Nov 2018
Convergence of a thresholdtype algorithm to mean curvature flow [Invited]
ISHII KATSUYUKI
Conference on elliptic/parabolic differential equations Nov 2018
Convergence of a thresholdtype algorithm for mean curvature flow [Invited]
ISHII KATSUYUKI
12th AIMS on Dynamical Systems, Differential Equations and Applications Jul 2018
Convergence of a thresholdtype algorithm for mean curvature flow [Invited]
ISHII KATSUYUKI
The 11th Mathematical Society of Japan (MSJ) Seasonal Institute (SI) The Role of Metrics in the Theory of Partial Differential Equations Jul 2018