KOIKE Shigeaki

J-GLOBAL         Last updated: Jul 22, 2019 at 16:25
 
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Name
KOIKE Shigeaki
URL
http://db.tohoku.ac.jp/whois/e_detail/a63aa21a4e20f065ad3e9899b93c6bd4.html
Affiliation
Waseda University
Section
Faculty of Science and Engineering
Degree
理学(数学)(Waseda University)

Research Areas

 
 

Academic & Professional Experience

 
 
   
 
Professor, Tohoku University Graduate School of Science Mathematics Analysis
 
Apr 2012
 - 
Today
教授, 東北大学
 
Apr 2006
 - 
Mar 2012
教授, 埼玉大学大学院理工学研究科
 
Apr 1992
 - 
Mar 2002
助教授, 埼玉大学理学部
 
Oct 1989
 - 
Mar 1992
助手, 東京都立大学理学部
 

Education

 
 
 - 
Mar 1988
Graduate School, Division of Science and Engineering, Waseda University
 
 
 - 
Mar 1981
物理学科, Faculty of Science and Engineering, Waseda University
 

Committee Memberships

 
May 2013
 - 
Oct 2013
函数方程式論分科会  解析学賞選考委員
 
May 2012
 - 
Oct 2012
函数方程式論分科会  解析学賞選考委員長
 

Awards & Honors

 
Sep 2016
完全非線形楕円型・放物型偏微分方程式のLp粘性解理論, 解析学賞, 日本数学会
 
Mar 2010
JMSJ Outstanding Paper Prize, 日本数学会
Winner: 小池茂昭, Andrzej Swiech
 

Published Papers

 
S. Koike, T. Kosugi and M. Naito
Journal of Mathematical Analysis and Applications   457(1) 436-460   Jan 2018   [Refereed]
S. Koike and T. Kosugi
Nonlinear Analysis   160 1-15   Sep 2017   [Refereed]
Remarks on mean curvature flow with obstacles
K. Ishii, H. Kamata and S. Koike
Mathematics for Nonlinear Phenomena: Analysis and Computation, Proceedings in Mathematics and Computation   215 83-103   Jul 2017   [Refereed]
G. Galise, S. Koike, O. Ley and A. Vitolo
Journal of Mathematical Analysis and Applications   441(1) 194-210   2016   [Refereed]
On the ABP maximum principle for Lp-viscosity solutions of fully nonlinear PDE
S. Koike
Nonlinear Dynamics in Partial Differential Equations, Advanced Studies in Pure Mathematics   64 113-124   2015   [Refereed]
G. Barles, S. Koike, O. Ley and E. Topp
Calculus of Variations and Partial Differential Equations   54(1) 539-572   2015   [Refereed]
S. Koike and T. Kosugi
Communications in Pure and Applied Analysis   14(1) 133-142   2015   [Refereed]
On the ABP maximum principle and applications
S. Koike
RIMS Kokyuroku   1845 107-120   2013
S. Koike and A. Swiech
Indiana Universiy Mahemaical Journal   62(5) 1473-1502   2013   [Refereed]
S. Koike and A. Swiech
Communications in Pure and Applied Analysis   11(5) 1897-1910   Sep 2012   [Refereed]
S. Koike and O. Ley
Journal of Mathematical Analysis and Applications   381(1) 110-120   Sep 2011   [Refereed]
Recent developments on maximum principle for Lp-viscosity solutions of fully nonlinear elliptic/parabolic PDEs
S. Koike
Recent Progress on Reaction-diffusion Systems and Viscosity Solutions   131-153   2009   [Refereed]
S. Koike and A. Swiech
Journal of Mathematical Society of Japan   61(3) 723-755   2009   [Refereed]
S. Koike and A. Swiech
Journal of the Fixed Point Theory and its Applications   5(2) 291-304   2009   [Refereed]
Remarks on the Phragmén-Lindelöf Theorem for Lp-viscosity solutions of fully nonlinear PDEs with unbounded ingredients
S. Koike and K. Nakagawa
Electronic Journal of Differential Equations   2009(146) 1-14   2009   [Refereed]
A linear-quadratic control problem with discretionary stopping
S. Koike, H. Morimoto and S. Sakaguchi
Discrete and Continuous Synamical Systems, series B   8(2) 261-277   2007   [Refereed]
S. Koike and A. Swiech
Mathematische Annalen   339(2) 461-484   2007   [Refereed]
S. Koike and H. Morimoto
Funkcialaj Ekvacioj   48(2) 183-202   2005   [Refereed]
Perron's method for Lp-viscosity solutions
S. Koike
Saitama Mathematical Journal   23 9-28   2005   [Refereed]
S. Koike and A. Swiech
Nonlinear Differential Equations and Applications   11(4) 491-509   2004   [Refereed]
S. Koike and H. Morimoto
Applied Mathematics and Optimizations   48(1) 1-20   2003   [Refereed]
Remarks on regularity of viscosity solutions for fully nonlinear uniformly elliptic PDEs with measurable ingredients
S. Koike and T. Takahashi
Advances in Differential Equations   7(4) 493-512   2002   [Refereed]
On fully nonlinear PDEs derived from variational problems Lp norms
T. Ishibashi and S. Koike
SIAM Journal on Mathematical Analysis   33(3) 545-569   2002   [Refereed]
On the pursuit-evasion game with state constraint
M. Bardi, S. Koike and P. Soravia
Discrete and Continuous Dynamical Systems   6(2) 361-380   2000   [Refereed]
O. Alvarez, S. Koike and I. Nakayama
SIAM Journal on Control and Optimization   38(2) 470-481   2000   [Refereed]
On ε-optimal controls for state constraint problem
H. Ishii and S. Koike
Annales de l'Institut Henri Poincaré, Analyse Non linéaire   17(4) 473-502   2000   [Refereed]
A comparison result for the state constraint problem of differential games
S. Koike
Proceedings of Korean-Japan Partial Differential Equations Conference   1-8   1997
Semicontinuous viscosity solutions for Hamilton-Jacobi equations with a degenerate coefficient
S. Koike
Differential and Integral Equations   10(3) 455-472   1997   [Refereed]
H. Ishii and S. Koike
SIAM Journal, Control and Optimization   34(2) 554-571   1996   [Refereed]
On the Bellman equations with varying control
S. Koike
Bulletin of the Australian Mathematical Society   53(1) 51-62   1996   [Refereed]
The state constraint problem for differential games
S. Koike
Indiana University Mathematics Journal   44(2) 467-487   1995   [Refereed]
Uniqueness of viscosity solutions for monotone systems of fully nonlinear PDEs under Dirichlet condition
S. Koike
Nonlinear Analysis, Theory, Methods and Applications   22(4) 519-532   1994   [Refereed]
Viscosity solutions of monotone systems for Dirichlet problems
M. Katsoulakis and S. Koike
Differential and Integral Equations   7(2) 367-382   1994   [Refereed]
A viscosity solution approach to functional differential equations
S. Koike
Proceedings of the Second GARC SYMPOSIUM on Pure and Applied Mathematics   17 213-219   1993
Viscosity solutions of functional differential equations
H. Ishii and S. Koike
Advances in Mathematical Sciences and Applications   3 191-218   1993   [Refereed]
H. Ishii and S. Koike
Applied Mathematics and Optimization   23(1) 1-17   1991   [Refereed]
On the rate of convergence of solutions in singular perturbation problems
S. Koike
Journal of Mathematical Analysis and Applications   157(1) 243-253   1991   [Refereed]
Viscosity solutions of a system of nonlinear second-order elliptic PDEs arising in switching games
H. Ishii and S. Koike
Funkcialaj Ekvacioj   34(1) 143-155   1991   [Refereed]
Viscosity solutions for monotone systems of second-order elliptic PDEs
H. Ishii and S. Koike
Communications in Partial Differential Equations   16(6-7) 1095-1128   1991   [Refereed]
An asymptotic formula for solutions of Hamilton-Jacobi-Bellman equations
S. Koike
Nonlinear Analysis, Theory, Methods and Applications   11(3) 429-436   1987   [Refereed]
On the regularity of solutions of a degenerate parabolic Bellman equation
S. Koike
Hiroshima Mathematical Journal   16(2) 251-267   1986   [Refereed]
Boundary regularity and uniqueness for an elliptic equation with gradient constraint
H. Ishii and S. Koike
Communications in Partial Differential Equations   8(4) 317-346   1983   [Refereed]

Misc

 
粘性解が古典解になる時 -Caffarelliの研究の紹介-
小池茂昭
数学   62(3) 315-328   Oct 2010
儀我美一・小池茂昭
49(1) 2-7   2005
非線形偏微分方程式の粘性解理論(石井仁司氏の業績)
小池茂昭, 山田直記
数学   47 20-28   1995

Books etc

 
リメディアル数学
泉屋周一他 (Part:Joint Work, 1章)
数学書房   2011   
微分積分
小池茂昭
数学書房   2010   
International Conference for the 25th Anniversary of Viscosity Solutions
Yoshikazu Giga 他 (Part:Joint Editor)
学校図書   2008   
これからの非線型偏微分方程式
小薗英雄他 (Part:Joint Work, 151~168)
日本評論社   May 2007   
A Beginner's Guide to the Theory of Viscosity Solutions
Shigeaki Koike
Mathematical Society of Japan   2007   

Conference Activities & Talks

 
On the rate of convergence in free boundary problems [Invited]
The 5th Italian-Japanese Workshop on Geometrc Properties for Parabolic and Elliptic PDE's   15 May 2017   
Fully nonlinear uniformly elliptic/parabolic PDE with unbounded ingredients
Hamilton-Jacobi Equations New trends and applications   30 May 2016   
Entire solutions of fully nonlinear elliptic PDE with super linear gradient terms [Invited]
Workshop on nonlinear partial differential equations and related topics   9 May 2016   
ABP最大値原理について [Invited]
日本数学会2016年度年会   16 Mar 2016   
Holder continuity for subsolutions of integer-differential equations
偏微分方程式の漸近問題と粘性解   2 Dec 2015   

Association Memberships

 
 

Research Grants & Projects

 
粘性解理論とその応用
Project Year: Apr 1988 - Today

Social Contribution

 
仙台数学セミナー
[Others]  17 Aug 2014 - 19 Aug 2014
講演、演習を通して東北地方の高校生に数学の面白さを紹介する。
出張講義
[Others]  5 Dec 2013
仙台一高で高校生に講義を行った。

Others

 
Apr 2010   粘性解の基礎理論の新展開
Lp粘性解理論の研究
Apr 2008   完全非線形方程式の粘性解の基礎理論
完全非線形方程式のLp粘性解
Apr 2007   粘性解理論とその先端的応用
粘性解理論の数理ファイナンスへの応用
Apr 2007   粘性解生誕25周年国際研究集会
上記研究集会の開催
Apr 2006   粘性解の微分可能性と最適制御に関する基礎研究
粘性解の微分可能性を高めることで最適制御を決定する