ISHII Katsuyuki

J-GLOBAL         Last updated: Sep 14, 2019 at 03:02
 
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Name
ISHII Katsuyuki
Affiliation
Kobe University
Section
Graduate School of Maritime Sciences Department of Maritime Sciences
Job title
Professor

Research Interests

 
 

Published Papers

 
Remarks on the convergence of an algorithm for curvature-dependent motions of hypersurfaces
ISHII KATSUYUKI, Takahiro Izumi
Discrete and continuous dynamical systems Series A   38(3)    Mar 2018   [Refereed]
We consider a threshold-type algorithm for curvature-dependent 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) 479-522   Dec 2016   [Refereed][Invited]
We consider a threshold-type algorithm for
curvature-dependent 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) 219-252   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 area-minimizing scheme for anisotropic mean-curvature flow.
ISHII KATSUYUKI, ETO TOKUHIRO, GIGA YOSHIKAZU
Advances in Differential Equations   17(11-12) 1031-1084   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 threshold-type to mean curvature flow [Invited]
ISHII KATSUYUKI
Workshop on applied mathematics 2018   Dec 2018   
Convergence of a threshold-type algorithm to curvature-dependent motions [Invited]
ISHII KATSUYUKI
Viscosity solutions and Related Topics   Nov 2018   
Convergence of a threshold-type algorithm to mean curvature flow [Invited]
ISHII KATSUYUKI
Conference on elliptic/parabolic differential equations   Nov 2018   
Convergence of a threshold-type algorithm for mean curvature flow [Invited]
ISHII KATSUYUKI
12th AIMS on Dynamical Systems, Differential Equations and Applications   Jul 2018   
Convergence of a threshold-type 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   

Teaching Experience