Rchr
J-GLOBAL ID：200901028699944165
Update date: Jan. 30, 2024
Horihata Kazuhiro
ホリハタ カズヒロ | Horihata Kazuhiro
Affiliation and department：
Job title：
Assistant Professor
Homepage URL (1)：
http://www.math.tohoku.ac.jp/~horihata/
Research field (2)：
Mathematical analysis
, Geometry
Research keywords (3)：
Geometrical Analysis
, Mean Curvature flow
, Harmonic heat flow
Research theme for competitive and other funds (16)：
- 2015 - 現在 調和写像流の解の特異点の構造の研究
- 2009 - 2016 平均曲率流の新しい構成法について
- 2000 - 2015 エネルギー単調性を持つ調和写像熱流の構成に関する研究
- 1999 - 2001 The research on degenerate elliptic partial differential equations by the method of real analysis
- 1999 - 2000 Almost orthogonality in harmonic analysis and its application
- 1998 - 1999 Research on Elementary Solutions to Partial Differential Equations
- 1996 - 1996 変分法とその反応拡散方程式系への応用
- 1996 - 1996 微分方程式の解の大域的挙動
- 1995 - 1996 Study of Nonlinear problems in Geometry
- 1995 - 1995 非線型楕円型境界値問題の解の大域的性質
- 1993 - 1993 ユークリッド空間,多様体上の調和解析とその応用
- 1993 - 1993 幾何構造の変形と大域的変分問題
- 1992 - 1992 微分方程式の摂動問題
- 1992 - 1992 古典力学における数学的諸問題
- 1991 - 1991 微分方程式と摂動問題
- 1990 - 1990 幾何学的変分問題の研究
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Papers (6)：
MISC (3)：
-
Horihata Kazuhiro. On discrete Morse semi-flow (Variational Problems and Related Topics). RIMS Kokyuroku. 2003. 1347. 179-199
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HORIHATA KAZUHIRO. A modulus of uniform continuity with some order in $L^s_{loc}(\Omega ; R^N) (2 \le s \le \infty)$ and a sharp estimate of $Lebesque points$ of the first-derivatives of minimizers of a Quasi-convex functional in the calculus of variations. RIMS Kokyuroku. 1991. 738. 1-9
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HORIHATA KAZUHIRO. On Higher Differentiability and Partial Regularity if the Minimizers in the Calculus of Variations(Solutions for Nonlinear Elliptic Equations). RIMS Kokyuroku. 1989. 679. 117-126
Books (2)：
-
A New Method of Constructing Brakke's Motion
World Scientific 2018
-
Introdutory Course of O.D.E
Asakura 2015
Lectures and oral presentations (4)：
-
A Brakke motion through a new Allen-Cahn equations
(Texas A&G Seminar 2012)
-
Ilmanenの論文「Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature」について
(GMTセミナー 2009)
-
No-fattening criterion for Brakke motion
(応用数学セミナー 2009)
-
Ilmanenの論文「Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature」について
(GMTセミナー 2008)
Education (2)：
- - 1989 Keio University Graduate School, Division of Engineering 数理工学
- - 1983 Keio University Faculty of Engineering 数理工学
Professional career (2)：
- 工学修士 (Keio University)
- 博士(理学) (Tohoku University)
Work history (1)：
- 1990/03 - 2010/03 Mathematical Institute, Tohoku University 助教
Association Membership(s) (1)：
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