研究者情報 - 山崎　教昭

（最終更新日：2024-07-11 22:43:04）

  ヤマザキ　ノリアキ   Yamazaki Noriaki
  山崎　教昭
   所属   神奈川大学情報学部システム数理学科

神奈川大学大学院工学研究科工学専攻（情報システム創成領域）

職種教授

■ 専門分野

数物系科学、大域解析学　（キーワード：自由境界問題）

■ 学位等

博士（理学）

■ 著書・論文歴

1.	著書	線形代数（共著） 2004/03
2.	著書	行列と行列式（共著） 2003/03
3.	論文	Elliptic-parabolic quasi-variational evolution equations Funkcialaj Ekvacioj 67,pp.1-27 （共著） 2024
4.	論文	Periodic solutions to a class of quasi-variational evolution equations J. Differential Equations 384,pp.165-192 （共著） 2024
5.	論文	Second order doubly nonlinear evolution inclusions --quasi-variational approach-- Discrete Contin. Dyn. Syst. Ser. S 17,pp.304-325 （共著） 2024
6.	論文	Quasi-variational approach to periodic problems for SIRS models with the seasonally-dependent transmission rate Adv. Math. Sci. Appl. 32,pp.343-370 （共著） 2023
7.	論文	Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems Math. Control Relat. Fields (11),pp.253-289 （共著） 2021
8.	論文	A class of approximate optimal control problems for 1-D phase-field system with singularity and its numerical algorithm Adv. Math. Sci. Appl. (29),pp.495-561 （共著） 2020
9.	論文	Approximate methods for singular optimal control problems of nonlinear evolution inclusions with quasi-variational structure Adv. Math. Sci. Appl. (29),pp.419-457 （共著） 2020
10.	論文	Doubly nonlinear evolution inclusions of time-dependent subdifferentials --quasi-variational approach-- Adv. Math. Sci. Appl. (29),pp.311-343 （共著） 2020
11.	論文	Optimal control for shape memory alloys of the one-dimensional Fremond model Numerical Functional Analysis and Optimization (41),pp.1421-1471 （共著） 2020
12.	論文	A class of parabolic systems associated with optimal controls of grain boundary motions Adv. Math. Sci. Appl. (27),pp.299-336 （共著） 2018
13.	論文	Global strong solutions to abstract quasi-variational evolution equations J. Differential Equations (265),pp.4158-4180 （共著） 2018
14.	論文	A boundary control problem for the equation and dynamic boundary condition of Cahn--Hilliard type Solvability, regularity, and optimal control of boundary value problems for PDEs pp.255-280 （共著） 2017
15.	論文	Lagrange multiplier and singular limit of double-obstacle problems for the Allen--Cahn equation with constraint Mathematical Methods in the Applied Sciences 40(1),pp.5-21 （共著） 2017
16.	論文	New class of doubly nonlinear evolution equations governed by time-dependent subdifferentials Solvability, regularity, and optimal control of boundary value problems for PDEs pp.281-304 （共著） 2017
17.	論文	Optimal control of doubly nonlinear evolution equations governed by subdifferentials without uniqueness of solutions IFIP Conference on System Modeling and Optimization CSMO 2015: System Modeling and Optimization pp.261-271 （共著） 2017
18.	論文	Singular optimal control problems for doubly nonlinear and quasi-variational evolution equations Advances in Mathematical Sciences and Applications (26),pp.313-379 （共著） 2017
19.	論文	Convergence of numerical algorithm for approximating optimal control problems of phase filed system with singular diffusivity Advances in Mathematical Sciences and Applications 25,pp.243-272 （共著） 2016
20.	論文	New approximate method for the Allen--Cahn equation with double-obstacle constraint and stability criteria for numerical simulations AIMS Mathematics 1,pp.288-317 （共著） 2016
21.	論文	Remarks on Numerical Experiments of the Allen-Cahn Equations with Constraint via Yosida Approximation Adv. Numer. Anal. 2016,pp.1-16 （共著） 2016
22.	論文	Singular limit of Allen--Cahn equation with constraint and its Lagrange multiplier Dynamical Systems, Differential Equations and Applications, AIMS Proceedings pp.418-427 （共著） 2015
23.	論文	Existence for a PDE-model of a grain boundary motion involving solidification effect 1892,pp.52-72 （共著） 2014
24.	論文	Phase-filed systems for grain boundary motion under isothermal solidifications Advances in Mathematical Sciences and Applications 24,pp.353-400 （共著） 2014
25.	論文	Positive solutions for impulsive differential equations with mixed monotonicity and optimal control Abstr. Appl. Anal. Art. ID 974968,pp.1-11 （共著） 2014
26.	論文	Global attractors for non-autonomous phase-field systems of grain boundary motion with constraint Advances in Mathematical Sciences and Applications 23,pp.267-296 （単著） 2013
27.	論文	Optimal control problems of phase field system with total variation functional as the interfacial energy Advances in Differential Equations 18,pp.309-350 （共著） 2013
28.	論文	Solvability for one-dimensional phase field system associated with grain boundary motion Mathematische Annalen 356,pp.301-330 （共著） 2013
29.	論文	Global solvability of a model for grain boundary motion with constraint Discrete and Continuous Dynamical Systems, Series S 5,pp.127-146 （共著） 2012
30.	論文	Optimal control problem for Allen-Cahn type equation associated with total variation energy Discrete and Continuous Dynamical Systems, Series S 5,pp.159-181 （共著） 2012
31.	論文	Optimal control problem of positive solutions to second order impulsive differential equations Zeitschrift fur Analysis und ihre Anwendungen 31,pp.237-250 （共著） 2012
32.	論文	Variational Inequalities for a System of Elliptic-Parabolic Equations Journal of Mathematical Analysis and Applications 387,pp.490-511 （共著） 2012
33.	論文	結晶粒界現象に関連する 1 次元フェーズ・フィールドモデル数理解析研究所講究録 1779, 変分問題の展開 : 発展方程式論における変分的方法 1779,27-51頁（共著） 2012
34.	論文	Asymptotic stability for a grain boundary motion model with constraint 数理解析研究所講究録 1746, 現象の数理解析へ向けた非線形発展方程式とその周辺 1746,1-21頁（共著） 2011
35.	論文	Global attractor of the multivalued semigroup associated with a phase-field model of grain boundary motion with constraint Dynamical Systems, Differential Equations and Applications 2,pp.824-833 （共著） 2011
36.	論文	Large-time behavior of solutions to a phase-field model of grain boundary motion with constraint Current Advances in Nonlinear Analysis and Related Topics 32,pp.389-403 （共著） 2010
37.	論文	Approximating problems of vectorial singular diffusion equations with inhomogeneous terms and numerical simulations Dynamical Systems, Differential Equations and Applications, Discrete and Continuous Dynamical Systems A Supplement Volume,486--495頁（共著） 2009
38.	論文	Convergence and optimal control problems for elliptic-parabolic variational inequalities with time-dependent constraints Advances in Mathematical Sciences and Applications 19,155--183頁（共著） 2009
39.	論文	Convergence and optimal control problems of nonlinear evolution equations governed by time-dependent operator Nonlinear Analysis. Theory, Methods & Applications, 70,4316--4331頁（単著） 2009
40.	論文	Optimal control of nonlinear evolution equations associated with time-dependent subdifferentials and applications Nonlocal and Abstract Parabolic Equations and their Applications, the Banach Center Publications, Institute of Mathematics 86,313-327頁（単著） 2009
41.	論文	Weak solutions of grain boundary motion model with singularity Rendiconti di Matematica e delle sue Applicazioni. Serie VII 29,51--63頁（共著） 2009
42.	論文	A phase-field model of grain boundary motion Applications of Mathematics， 53,433--454頁（共著） 2008
43.	論文	Convergence of numerical algorithm for optimal control problem of Allen-Cahn type equation with constraint Proceedings of International Conference on: Nonlinear Phenomena with Energy Dissipation－Mathematical Analysis, Modelling and Simulation－, GAKUTO Intern. Ser. Math. Appl., Gakkotosho, Tokyo， 29,441--462頁（共著） 2008
44.	論文	Optimal control of a singular diffusion equation with constraint Advances in Mathematical Sciences and Applications， 18,1--28頁（共著） 2008
45.	論文	Optimal control problems of quasilinear elliptic-parabolic equation Recent Advances in Nonlinear Analysis, Proceedings of the International Conference on Nonlinear Analysis}, World Sci. Publ.， 245--259頁（単著） 2008
46.	論文	Well-posedness and periodic stability for quasilinear parabolic variational inequalities with time-dependent constraints Recent Advances in Nonlinear Analysis, Proceedings of the International Conference on Nonlinear Analysis}, World Sci. Publ.， 181--196頁（共著） 2008
47.	論文	Convergence of optimal control for quasilinear elliptic-parabolic variational inequalities with time-depednent constraints 数理解析研究所講究録 1542, 現象の数理モデルと発展方程式, 京都大学数理解析研究所， 102--116頁（単著） 2007
48.	論文	Elliptic-parabolic variational inequalities with time-dependent constraints Discrete and Continuous Dynamical Systems， 19,335--359頁（共著） 2007
49.	論文	Optimal control problems for models of phase-field type with hysteresis of play operator Advances in Mathematical Sciences and Applications， 17,305--336頁（共著） 2007
50.	論文	Periodic stability of elliptic-parabolic variational inequality with time-dependent boundary double obstacles Dynamical Systems, Differential Equations and Applications, Discrete and Continuous Dynamical Systems， A Supplement Volume,614--623頁（共著） 2007
51.	論文	Global solvability of constrained singular diffusion equation associated with essential variation Free Boundary Problems: Theory and Applications}, Int. Series Numer. Math.,　Birkhauser, Basel， 154,209--218頁（共著） 2006
52.	論文	Optimal control problems for elliptic-parabolic variational inequalities with time-dependent constraints Numerical Functional Analysis and Optimization， 27,329-356頁（共著） 2006
53.	論文	Periodic solutions of elliptic-parabolic variational inequalities with time-dependent constraints Journal of Evolution Equations， 6,71-93頁（共著） 2006
54.	論文	A class of nonlinear evolution equations governed by time-dependent operators of subdifferential type Mathematical Approach to Nonlinear Phenomena; Modelling, Analysis and Simulation, GAKUTO Intern. Ser. Math. Appl., Gakkotosho, Tokyo， 23,280-296頁（単著） 2005
55.	論文	An existence result for a discretized constrained gradient system of total variation flow in color image processing Interdisciplinary Information Sciences， 11,199-204頁（共著） 2005
56.	論文	Doubly nonlinear evolution equation associated with elliptic-parabolic free boundary problems Dynamical Systems and Differential Equations, Discrete and Continuous Dynamical Systems， A Supplement Volume,920-929頁（単著） 2005
57.	論文	Quasilinear parabolic variational inequalities with time-dependent constraints Advances in Mathematical Sciences and Applications， 15,335-354頁（共著） 2005
58.	論文	Attractors of asymptotically periodic multivalued dynamical systems governed by time-dependent subdifferentials Electron. J. Differential Equations， 2004(107),1-22頁（単著） 2004
59.	論文	Local solvability of a constrainted gradient system of total variation Abstract and Applied Analysis， 2004,651-682頁（共著） 2004
60.	論文	Stability for asymptotically periodic multivalued dynamical systems generated by double obstacle problems Nonlinear Partial Differential Equations and Their Applications, GAKUTO Intern. Ser. Math. Appl., Gakkotosho, Tokyo， 20,352-367頁（単著） 2004
61.	論文	Global attractor for periodic multivalued dynamical systems generated by time-dependent subdifferential operators Advances in Mathematical Sciences and Applications， 13,663-683頁（単著） 2003
62.	論文	Global attractors for non-autonomous multivalued dynamical systems associated with double obstacle problems Dynamical systems and differential equations (Wilmington, NC, 2002), Discrete and Continuous Dynamical Systems， A Supplement Volume,935-944頁（単著） 2003
63.	論文	Attractors for non-autonomous multivalued evolution systems generated by time-dependent subdifferentials Abstract and Applied Analysis， 7,453-473頁（単著） 2002
64.	論文	Global attractors for multivalued flows associated with subdifferentials Elliptic and Parabolic Problems, (Rolduc/Gaeta, 2001), World Sci. Publ., River Edge, NJ， 135-144頁（共著） 2002
65.	論文	Almost periodicity of solutions to free boundary problems Dynamical systems and differential equations (Kennesaw, GA, 2000), Discrete and Continuous Dynamical Systems， Added Volume,386--397頁（単著） 2001
66.	論文	Almost periodic stability for doubly nonlinear evolution equations generated by subdifferentials Nonlinear Analysis. Theory, Methods & Applications， 47,1725-1736頁（単著） 2001
67.	論文	Numerical results for the dam problem in two dimensional case The 2nd Polish-Japanese Days on Mathematical Aspects of Modelling Structure Formation Phenomena, GAKUTO Intern. Ser. Math. Appl., Gakkotosho, Tokyo， 17,291-305頁（共著） 2001
68.	論文	Time-dependent attractors of bounded dynamical systems generated by subdifferentials Communications in Applied Analysis， 5,403-419頁（共著） 2001
69.	論文	ダム問題に対する時間概周期解数理解析研究所講究録 1197, 非線形発展方程式とその応用, 京都大学数理解析研究所， 163--175頁（共著） 2001
70.	論文	Global attractors of phase transition models with hysteresis and diffusion effects it Free Boundary Problems: Theory and Applications II, GAKUTO Intern. Ser. Math. Appl., Gakkotosho, Tokyo， 14,460-471頁（共著） 2000
71.	論文	Time-dependent attractors of bounded systems associated with doubly nonlinear equations Free Boundary Problems: Theory and Applications I, GAKUTO Intern. Ser. Math. Appl., Gakkotosho, Tokyo， 13,298-313頁（共著） 2000
72.	論文	Attractors of periodic systems generated by time-dependent subdifferentials Nonlinear Analysis. Theory, Methods & Applications， 37,97-124頁（共著） 1999
73.	論文	Periodic behaviour of solutions of time-dependent double obstacle problems Advances in Mathematical Sciences and Applications， 9,885-906頁（単著） 1999
74.	論文	Periodic double obstacle problems and applications 数理解析研究所講究録 1105、非線形発展方程式とその応用、京都大学数理解析研究所， 39--52頁（単著） 1999
75.	論文	Periodic solutions for phase transition models Nonlinear Analysis. Theory, Methods & Applications， Added Volume,399-412頁（単著） 1999
76.	論文	Asymptotic stability for evolution equations governed by subdifferentials Recent Developments in Domain Decomposition Methods and Flow Problems, GAKUTO Intern. Ser. Math. Appl., Gakkotosho, Tokyo， 11,287-310頁（共著） 1998
77.	論文	Asymptotic stability for evolution systems associated with phase transitions Progress in partial differential equations, Pont-a-Mousson 1997 Volume 2, Pitman Research Notes in Mathematics Series,　Longman, Harlow， 384,104-115頁（共著） 1998
78.	論文	Attractors of nonlinear evolution systems generated by time-dependent subdifferentials in Hilbert spaces Dynamical Systems and Differential Equations, Missouri 1996 Volume 1, Discrete and Continuous Dynamical Systems,　Southwest Missouri State University， Added Volume,327-349頁（共著） 1998
79.	論文	Periodic stability for nonlinear systems generated by time-dependent subdifferentials 数理解析研究所講究録 1061, 非線形発展方程式とその応用, 京都大学数理解析研究所， 51--62頁（共著） 1998
80.	論文	Global attractor of time-dependent double obstacle problems Functional Analysis and Global Analysis, Springer-Verlag, Singapore， 288-301頁（共著） 1997
81.	その他	楕円－放物型変分不等式に対する最適制御問題について第２８回発展方程式若手セミナ－報告集， 15--24頁（単著） 2007
82.	その他	漸近周期時間依存劣微分作用素支配された発展方程式に対応する多価力学系について第２５回発展方程式若手セミナ－報告集， 212--219頁（単著） 2004
83.	その他	２重非線形発展方程式とダム問題への応用第43回実函数論・函数解析学合同シンポジウム講演集， 91--109頁（単著） 2004
84.	その他	Attractors for non-autonomous systems without uniquness 第２３回発展方程式若手セミナ－報告集， 18--23頁（単著） 2002
85.	その他	Hysteresis を制御項にもつ熱方程式について第２２回発展方程式若手セミナ－報告集， 96--102頁（共著） 2000
86.	その他	ダム問題における解の概周期性第２２回発展方程式若手セミナ－報告集， 103--109頁（単著） 2000
87.	その他	劣微分作用素に支配された非線型発展方程式の時間依存アトラクターについて第２１回発展方程式若手セミナ－報告集， 44--49頁（単著） 1999
88.	その他	Asymptotic stability for evolution equations generated by time dependent subdifferentials 第１９回発展方程式若手セミナ－報告集， 48--54頁（共著） 1998
89.	その他	On the global attractor for periodic systems 第１９回発展方程式若手セミナ－報告集， 33--40頁（共著） 1998
90.	その他	Penrose-Fife タイプの相転移モデルに対する周期解の存在性第１９回発展方程式若手セミナ－報告集， 41--47頁（単著） 1998
91.	その他	時間周期ダブルオブスタクル問題の解の挙動について第２０回発展方程式若手セミナ－報告集， 114--119頁（単著） 1998
92.	その他	非自励系に対する大域的アトラクタ－の存在について第１８回発展方程式若手セミナ－報告集， 29--39頁（共著） 1997
5件表示
全件表示(92件)

■ 学会発表

1.	2020/09	Control of parameter-dependent evolution equations governed by time-dependent subdifferentials（日本数学会２０２０年度秋季総合分科会）
2.	2020/03	Control of parameter-dependent evolution equations governed by time-dependent subdifferentials（日本数学会２０２０年度年会）
3.	2019/09/20	Approximate problems for singular optimal control of nonlinear evolution equations governed by double time-dependent（日本数学会２０１９年度秋季総合分科会）
4.	2019/03/20	Singular optimal control problems for nonlinear evolution equations governed by double time-dependent subdifferentials（日本数学会２０１9年度年会）
5.	2018/09/27	Double quasi-variational evolution equations governed by time-dependent subdifferentials（日本数学会２０１８年度秋季総合分科会）
6.	2018/03/21	Quasi-variational evolution equations governed by double time-dependent subdifferentials（日本数学会２０１８年度年会）
7.	2017/09/14	New class of doubly nonlinear evolution equations governed by double time-dependent subdifferentials（日本数学会２０１７年度秋季総合分科会）
8.	2016/09/18	Stability criteria for numerical experiments of Allen--Cahn equations with constraint via Yosida approximation（日本数学会２０１６年度秋季総合分科会）
9.	2016/03/19	Lagrange multiplier and singular limit of double obstacle problems for Allen--Cahn equation with constraint（日本数学会２０１６年度年会）
10.	2015/09/16	Remarks on numerical experiments of Allen--Cahn equations with constraint via Yosida approximation（日本数学会２０１５年度秋季総合分科会）
11.	2015/03/21	Numerical simulations of Allen--Cahn equation with constraints via Lagrange multiplier（日本数学会２０１５年度年会）
12.	2014/09/28	Singular limit of Allen-Cahn equation with constraints and its Lagrange multiplier（日本数学会２０１４年度秋季総合分科会）
13.	2014/03/18	Non-autonomous phase-field models of grain boundary motion with constraint（日本数学会２０１４年度年会）
14.	2013/09/25	Control problems of phase-field systems associated with total variation energy（日本数学会２０１３年度秋季総合分科会）
15.	2013/03/20	Necessary conditions for optimal control of positive solutions to second order impulsive differential equations（日本数学会２０１３年度年会）
16.	2012/09/21	Optimal control of positive solutions to second order impulsive diifferential equations（日本数学会２０１２年度秋季総合分科会）
17.	2012/03/28	A vector-valued elliptic-parabolic variational inequality with time-dependent constraint（日本数学会２０１２年度年会）
18.	2011/09/29	Some characterization of attractor for a grain boundary motion model with constraint（日本数学会２０１１年度秋季総合分科会）
19.	2011/03/20	Global attractor of a grain boundary motiom model with constraint（日本数学会２０１１年度年会）
20.	2010/09/25	Large-time behavior of solutions to a grain boundary motion models with constraint（日本数学会２０１０年度秋季総合分科会）
21.	2010/03	Global solutions of a phase-filed model for grain boundaries with constraint（日本数学会２０１０年度年会）
22.	2009/09	Weak solutions of grain boundary motion model with singularity（日本数学会２００９年度秋季総合分科会）
23.	2009/03	A phase-field model of grain boundaries（日本数学会２００９年度年会）
24.	2008/09	特異拡散方程式に対する近似問題の数値実験について（日本数学会２００８年度秋季総合分科会）
25.	2008/03	特異拡散方程式に対する近似問題の最適制御について（日本数学会２００８年度年会）
5件表示
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■ 研究課題・受託研究・科研費

1.	2020/04～2024/03	仮似変分発展方程式と特異最適制御問題の新展開と構造解析科学研究費補助金基盤研究（C）
2.	2014/04～2018/03	結晶粒界運動に関連する自由境界問題の数学解析と発展科学研究費補助金基盤研究（C）（キーワード：函数方程式論、非線形解析、非線形現象、自由境界、最適制御）
3.	2010/04～2014/03	材料物質内の結晶粒界を記述する数理モデルの解析と数学理論の新展開科学研究費補助金若手研究（Ｂ）
4.	2002/04～2005/03	解の一意性が保障されていない相転移問題に対応する力学系の研究科学研究費補助金　若手研究（B)
5.	2000/04～2001/03	相転移モデルの数学的研究科学研究費補助金（特別研究員奨励費）

■ 講師・講演

1.	2021/08	Optimal Control for Shape Memory Alloys of the One-Dimensional Fremond Model
2.	2020/12	Doubly nonlinear evolution inclusions of time-dependent subdifferentials --quasi-variational approach--（日本女子大学理学部）
3.	2019/07	Singular optimal control problems for quasi-variational evolution equations（Leiden）
4.	2018/07	Double quasi-variational evolution equations governed by time-dependent subdifferentials and applications（Taipei）
5.	2017/07	Doubly Nonlinear Quasi-Variational Inequalities with Time-Dependent Constrains and Nonlocal Effects（Shanghai）
6.	2017/06	Singular optimal control problems for doubly nonlinear evolution equations governed by time-dependent subdifferentials（Warsaw）
7.	2016/07	Stability Criteria for numerical simulations of Allen--Cahn Equation with double-obstacle constraint via Yosida approximation（Orlando）
8.	2015/07	Singular limit of Allen--Cahn equation with dynamic boundary condition and constraints and its Lagrange multiplier（Lyon）
9.	2015/06	Optimal control of doubly nonlinear evolution equations governed by subdifferentials（Sophia Antipolis）
10.	2014/09	Optimal control of phase field system with total variation functional as the interfacial energy（Berlin）
11.	2014/07	Numerical experiments of Allen-Cahn equation with constraints via Lagrange multiplier（Madrid）
12.	2012/07	Optimal control problem of positive solutions to second order impulsive differential equations（Orlando, Florida）
13.	2012/06	Optimal control problems of phase field system with total variation functional as the interfacial energy（Chiemsee）
14.	2010/10	Asymptotic stability for a grain boundary motion model with constraint
15.	2010/09	Kobayashi-Warren-Carter 型結晶粒界モデルの解の漸近挙動について（埼玉大学サテライトキャンパス）
16.	2010/08	Mathematical analysis of grain boundary motion models of Kobayashi-Warren-Carter type（Sapporo）
17.	2010/05	Global attractor of a phase-field model of grain boundary motion with constraint（Dresden）
18.	2009/06	Kobayashi-Warren-Carter 型結晶粒界モデルの弱解の存在について（早稲田大学理工学部）
19.	2009/05	Global solvability of a grain boundary motion model with constraint（Warsaw/Madralin）
20.	2008/12	Kobayashi-Warren-Carter 型の結晶粒界モデルについて（中央大学理工学部）
21.	2008/11	Global solutions of grain boundary motion model with singularity（Leiden）
22.	2008/05	Approximating problems of the singular diffusion equation with inhomogeneous terms（Arlington, Texas）
5件表示
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■ 委員会・協会等

2011/07/01～2013/06/30

日本数学会‘数学’常任編集委員会常任編集委員

■ 受賞学術賞

2011/10

神奈川大学 2011年度神奈川大学学術褒賞 (特異拡散方程式の制御問題に対するアルゴリズムの構築と数値実験)

■ 本学関連サイト

1.	「神大の先生」サイトページ