Naoki Yamada

Profile Information

Degree: 理学博士

Researcher number: 50030789
J-GLOBAL ID: 200901042872194242
researchmap Member ID: 1000269202

Research Areas

Education

Papers

A LAGRANGIAN APPROACH TO WEAKLY COUPLED HAMILTON-JACOBI SYSTEMS

H. Mitake, A. Siconolfi, H. V. Tran, N. Yamada

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 48(2) 821-846, 2016 Peer-reviewed
Existence of non-radially symmetric viscosity solutions to semilinear degenerate elliptic equations with radially symmetric coefficients in the plane, Part II

Kenji Maruo, Naoki Yamada

Differential Equations & Applications, 2(3) 377-408, 2010 Peer-reviewed
SYSTEMS OF CONVEX HAMILTON-JACOBI EQUATIONS WITH IMPLICIT OBSTACLES AND THE OBSTACLE PROBLEM

Fabio Camilli, Paola Loreti, Naoki Yamada

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 8(4) 1291-1302, Jul, 2009 Peer-reviewed
Existence of non-radially symmetric viscosity solutions to semilinear degenerate elliptic equations with radially symmetric coefficients in the plane, Part I

Kenji Maruo, Naoki Yamada

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 345(2) 743-753, Sep, 2008 Peer-reviewed
Homogenization of Hamilton-Jacobi equations by an extended viscosity solution

Yamada, Naoki

Fukuoka Univ. Sci. Rep., 35 1-5, 2006
Nonlinear second order elliptic pde's with subdifferential

Advances Math. Sci. Appl., 12, 477-497, 2002
A comparison theorem for viscosity solutions of first order subdifferential equations

Fukuoka Univ. Sci. Rep., 31, 1-5, 2001
Construction of sub-and super solutions for a parabolic bilateral obstacle problem

Fukuoka University Science Report, 30(1) 93-100, 2000
An abstract formulation of nonlinear equations involving multiple nonlocal operators. (English. English summary)(共著)

Adv. Math. Sci. Appl., 3 57-70, 1994
Viscosity solutions of nonlinear second order elliptic PDEs involving nonlocal operators. (共著)

Osaka J. Math., 30(3) 439-455, 1993
Viscosity solutions associtated with switching game for piecewise-deterministic processes. (English. English summary)

Stochastics Stochastics Rep., 38(1) 27-47, 1992
Perron's method for viscosity solutions associated with piecewise-deterministic Processes. 共著

Funkcial. Ekvac., 34(1) 173-186, 1991
On the rate of convergence of solutions for the singular perturbations of gradient obstacle problems. 共著

Funkcial. Ekvac., 33(3) 551-562, 1990
A remark on a system of inequalities with bilateral obstacles. 共著

Nonlinear Anal., 13(11) 1295-1301, 1989
THE HAMILTON-JACOBI-BELLMAN EQUATION WITH A GRADIENT CONSTRAINT

N YAMADA

JOURNAL OF DIFFERENTIAL EQUATIONS, 71(1) 185-199, Jan, 1988
Viscosity solutions for a system of elliptic inequalities with bilateral obstacles.

Funkcial. Ekvac., 30(2-3) 417-425, 1987
A SYSTEM OF PARABOLIC VARIATIONAL-INEQUALITIES ASSOCIATED WITH A STOCHASTIC SWITCHING GAME

N YAMADA

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 9(1) 39-51, 1985

Misc.

An idea of the proof ofthe comparison principle of viscosity solutions for doubly nonlinear Hamilton-Jacobi equatons

N. Yamada

Proceedings of Seminar on Partial Differential Equations in Osaka 2012, 2013

Books and Other Publications

理工系のための実践的微分積分

YAMADA Naoki, TANAKA Naoto, FUKUSHIMA Yukio, YOSHIDA Mamoru (Role: Joint author)

学術図書出版社, 2007 (ISBN: 9784873618487)
理工系のための実践的微分方程式

YAMADA Naoki, TANAKA Naoto (Role: Joint author)

2007 (ISBN: 9784780600742)
Viscosity solutions for integro-differential equations of Voltenrra type

(Role: Joint author, /,441-446)

Nonlinear Analysis and Applications Gakko Tosho, 1996
Some results on the viscosity solutions of fully nonlinear equations containing non-local terms(共著)

(Role: Joint author, /,2605-2616)

Proceeding of the First Congress of Nonlinear Analisis., 1996
Viscosity solutions for integro-differential equations of Volterra type.

(Role: Joint author, /,441-446)

Nonlinear analysis and applications, GAKUTO Internat. Ser. Math. Sci. Appl. , 7, Gakk(]J1155[)tosho, Tokyo, 1994

Professional Memberships

Research Projects

Deepening of the theory of viscosity solutions and its applications

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, Apr, 2011 - Mar, 2016

ISHII Hitoshi, OTANI Mitsuharu, NAGAI Hideo, GIGA Yoshikazu, KOIKE Shigeaki, MIKAMI Toshio, MITAKE Hiroyoshi, YAMADA Naoki, ISHII Katsuyuki, ICHIHARA Naoyuki, FUJITA Yasuhiro
Mathematical analysis to non-stationary Navier-Stokes equations in the domain with a corner.

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2010 - 2012

TANAKA Naoto, YAMADA Naoki, TANI Atusi, ITOH Shigeharu
RESEARCH ON THE THEORY OF VISCOSITY SOLUTIONS OF DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, 2006 - 2009

ISHII Hitoshi, KOBAYASI Kazuo, OTANI Mitsuharu, GIGA Yoshikazu, NAGI Hideo, KOIKE Shigeaki, MIKAMI Toshio, YAMADA Naoki, GOTO Syun'ichi, ISHII Katsuyuki, FUJITA Yasuhiro, OHNUMA Masaki
H-transformations and their applications to families of univalent and multivalent functions.

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2004 - 2005

SAIGO Megumi, YOSHIDA Mamoru, YAMADA Naoki, FUKUSHIMA Yukio, OWA Shigeyoshi, SAITOH Hitoshi
Study of viscosity solutions for partial differential equations with subdifferential

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2001 - 2003

TANAKA Naoto, MARUO Kenji, KUROKIBA Masaki, YAMADA Naoki, ISHII Katsuyuki
非線形微分方程式の特異解の統一的研究

科学研究費助成事業, 萌芽研究, 日本学術振興会, 2002 - 2002

草野尚, 田中尚人, 山田直記, 陶山芳彦, 内藤学, 吉田範夫
Studies on singular solutions of nonlinear differential equations.

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2000 - 2001

KUSANO Takasi, YAMADA Naoki, SAIGO Megumi, SUYAMA Yoshihiko, NAITO Manabu, YOSHIDA Norio
Asymptotics of the solutions of nonlinear partial differential equations and their applications to phase transition

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 1997 - 1999

YAMADA Naoki, ISHII Katsuyuki, KUROKIBBA Masaki, KUSANO Takashi
Viscosity solutions of nonlinear partial differential equations and its applications

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 1994 - 1996

YAMADA Naoki, OGATA Akio, KAWANO Nichiro, SENBA Takasi
非線形楕円型偏微分方程式の解の存在とその挙動について

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1995 - 1995

緒方明夫, 仙葉隆, 山田直記, 藤井良宣, 伊喜哲一郎, 川野日郎
連続時間ベクトル値マルコフ決定過程の凸最適解の研究

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1994 - 1994

伊喜哲一郎, 梶木屋龍治, 米山俊昭, 山田直記, 川野日郎, 緒方明夫
非線形楕円型偏微分方程式の解の存在とその挙動について

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1993 - 1993

緒方明夫, 仙葉隆, 米山俊昭, 山田直記, 藤井憲三, 川野日郎
非線形楕円型偏微分方程式の全域解の構造

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1992 - 1992

川野日郎, 谷本洋, 藤井憲三, 緒方明夫, 米山俊昭, 山田直記
完全非線形楕円型偏微分方程式の境界値問題の研究

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1990 - 1990

相沢貞一, 佐々木武, 内田素夫, 高野恭一, 高山信毅, 山田直記
完全非線形2階偏微分方程式の粘性解と変分問題の研究

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1989 - 1989

山田直記, 樋口保成, 西尾真喜子, 高山信毅, 高野恭一, 相沢貞一
完全非線形楕円型偏微分方程式の研究

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1988 - 1988

相沢貞一, 平松豊一, 樋口保成, 西尾真喜子, 高野恭一, 山田直記
確率微分方程式と制御理論への応用

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1987 - 1987

西尾真喜子, 平松豊一, 山田直記, 高野恭一, 相沢貞一, 樋口保成
2階非線形偏微分方程式の解の確率論的表現とその応用

科学研究費助成事業, 奨励研究(A), 日本学術振興会, 1986 - 1986

山田直記
確率ゲームと関連した非線形楕円型偏微分方程式の研究

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1986 - 1986

相沢貞一, 樋口保成, 西尾真喜子, 下村俊, 高野恭一, 山田直記

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Misc.

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