Takimoto Kazuhiro

J-GLOBAL         Last updated: Sep 11, 2019 at 02:48
 
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Name
Takimoto Kazuhiro
E-mail
ktakimotohiroshima-u.ac.jp
Affiliation
Hiroshima University
Degree
Ph.D. (Mathematical Sciences)(The University of Tokyo), M.A.(Mathematical Sciences)(The University of Tokyo), B.A. (Science)(The University of Tokyo)
Research funding number
00363044
ORCID ID
0000-0001-9750-0869

Research Areas

 
 

Academic & Professional Experience

 
Apr 2003
   
 
Research Associate, Department of Mathematics, Graduate School of Science, Hiroshima University
 
Apr 2007
   
 
Assistant Professor, Department of Mathematics, Graduate School of Science, Hiroshima University
 
May 2008
   
 
Associate Professor, Department of Mathematics, Graduate School of Science, Hiroshima University
 

Education

 
Apr 1999
 - 
Mar 2003
Mathematical Sciences, Graduate School of Mathematical Sciences, The University of Tokyo
 
Apr 1997
 - 
Mar 1999
Mathematical Sciences, Graduate School of Mathematical Sciences, The University of Tokyo
 
Apr 1993
 - 
Mar 1997
Department of Mathematics, Faculty of Science, The University of Tokyo
 

Published Papers

 
Isolated singularities for some types of curvature equations
Viscosity Solutions of Differential Equations and Related Topics, RIMS Kokyuroku   1323 105-123   May 2003
Takimoto, K
Journal of Differential Equations   197(2) 275-292   Mar 2004   [Refereed]
We consider the removability of isolated singularities for the curvature equations of the form H-k[u] = 0, which is determined by the kth elementary symmetric function, in an n-dimensional domain. We prove that, for 1 less than or equal to k less ...
Removable singularities for solutions to k-curvature equations
Variational Problems and Related Topics, RIMS Kokyuroku   1405 117-130   Nov 2004
Singular sets for curvature equations of order k
Viscosity Solution Theory of Differential Equations and its Developments   1428 91-105   Apr 2005
Boundary blowup solutions to curvature equations
Proceedings of the 30th Sapporo Symposium on Partial Differential Equations, Hokkaido University Technical Report Series in Mathematics   96 18-25   Jul 2005
Takimoto, K
Journal of Mathematical Analysis and Applications   309(1) 227-237   Sep 2005   [Refereed]
We consider the removability of singular sets for the curvature equations of the form H-k[u] = psi, which is determined by the kth elementary symmetric function, in an n-dimensional domain Omega. We prove that, for 1 <= k <= n - 1 and a compact se...
Solutions with boundary blowup for k-curvature equation
Mechanism of temporal and spatial patterns in reation-diffusion systems, RIMS Kokyuroku   1498 99-112   Jun 2006
Takimoto, K
Calculus of Variations and Partial Differential Equations   26(3) 357-377   Jul 2006   [Refereed]
We consider the boundary blowup problem for k-curvature equation, i.e., H-k [u] = f (u) g(| Du|) in an n-dimensional domain Omega, with the boundary condition u(x) --> infinity as dist(x, partial derivative Omega) --> 0. We prove the existence res...
On the removability of a level set for solutions to fully nonlinear equations
Viscosity Solution Theory of Differential Equations and its Developments   1545 13-31   Apr 2007
Rado type removability result for fully nonlinear equations
Differential and Integral Equations   20(8) 939-960   Aug 2007   [Refereed]

Conference Activities & Talks

 
On the solvability of Dirichlet problem for Hessian equation
Kazuhiro Takimoto
Summer School of Applied Analysis Seminar   Sep 1997   
Nonclassical solutions for Hessian equations and curvature equations
Kazuhiro Takimoto
Autumn School of Applied Analysis Seminar   Oct 1998   
New estimation for solutions of the prescribed curvature equations [Invited]
Kazuhiro Takimoto
Tuesday Seminar of Analysis   May 1999   
Isolated singularities for some types of curvature equations [Invited]
Kazuhiro Takimoto
Variational Problem Seminar   Jul 2002   
Isolated singularities for some types of curvature equations [Invited]
Kazuhiro Takimoto
Viscosity Solutions of Differential Equations and Related Topics   Sep 2002   
Isolated singularities for some types of curvature equations
Kazuhiro Takimoto
Meeting of the Mathematical Society of Japan (Division of Functional Equations)   Sep 2002   
Isolated singularities for some types of curvature equations [Invited]
Kazuhiro Takimoto
Recent Topics in Nonlinear Partial Differential Equations   Jan 2003   
Isolated singularities for the curvature equation of order Tex [Invited]
Kazuhiro Takimoto
Hiroshima Mathematical Analysis Seminar   Apr 2003   
Removable sets for generalized solutions of Tex-curvature equations
Kazuhiro Takimoto
Meeting of the Mathematical Society of Japan (Division of Functional Equations)   Sep 2003   
Removable sets for curvature equations of order Tex
Kazuhiro Takimoto
Autumn School of Applied Analysis Seminar   20 Oct 2003   
Removable sets for curvature equations of order Tex [Invited]
Kazuhiro Takimoto
Analysis Seminar   Dec 2003   
Removable sets for curvature equations of order Tex [Invited]
Kazuhiro Takimoto
Applied Mathematics Seminar   Dec 2003   
Removable singularities of solutions to Tex-curvature equations [Invited]
Kazuhiro Takimoto
Mathematical Analysis Seminar   Jun 2004   
Removable singularities of solutions to k-curvature equations [Invited]
Kazuhiro Takimoto
Variational Problems and Related Topics   Jun 2004   
Singular sets for curvature equations of order k [Invited]
Kazuhiro Takimoto
Viscosity Solution Theory of Differential Equations and its Developments   Jul 2004   
Removable singularities of solutions to k-curvature equations [Invited]
Kazuhiro Takimoto
Mathematical Analysis: Overview and Prospect (in honor of the 60th birthday of Professor Atsushi Inoue)   Jul 2004   
Boundary blowup problem for Tex-curvature equation [Invited]
Kazuhiro Takimoto
Kyushu Functional Equation Seminar   Dec 2004   
Singular sets for curvature equations of order Tex [Invited]
Kazuhiro Takimoto
Seminar on Analysis at University of Tsukuba   Jan 2005   
Boundary blowup problem for Tex-curvature equation
Kazuhiro Takimoto
Analysis Seminar   Jan 2005   
Boundary blowup problem for Tex-curvature equation
Kazuhiro Takimoto
Meeting of the Mathematical Society of Japan (Division of Functional Equations)   Mar 2005   
Singular boundary value problem for Tex-curvature equation
Kazuhiro Takimoto
14th MSJ-IRI 2005, Asymptotic Analysis and Singularity   Jul 2005   
Boundary blowup problems to curvature equations [Invited]
Kazuhiro Takimoto
The 30th Sapporo Symposium on Partial Differential Equations   Aug 2005   
Removability of a level set for solutions to fully nonlinear equations
Kazuhiro Takimoto
Autumn School of Applied Analysis Seminar   Oct 2005   
Solutions with boundary blowup for k-curvature equation [Invited]
Kazuhiro Takimoto
Mechanism of time and spatial patterns arising in reaction-diffusion equations   Nov 2005   
Removability of a level set for solutions to fully nonlinear equations
Kazuhiro Takimoto
Meeting of the Mathematical Society of Japan (Division of Functional Equations)   Mar 2006   
On the removability of a level set for solutions to fully nonlinear equations [Invited]
Kazuhiro Takimoto
Viscosity Solution Theory of Differential Equations and its Developments   May 2006   
Rado type removability result for fully nonlinear PDEs [Invited]
Kazuhiro Takimoto
Asymptotic Analysis of Differential Equations and Viscosity Theory   Dec 2006   
On Rado type removability theorems for fully nonlinear partial differential equations [Invited]
Kazuhiro Takimoto
4th Workshop on Nonlinear Partial Differential Equations   Mar 2007   
Some removability results for Tex-Hessian equation and Tex-curvature equation [Invited]
Kazuhiro Takimoto
12th AIMS International Conference on Dynamical Systems, Differential Equations and Applications   5 Jul 2018   
On Rado type removability theorems for fully nonlinear partial differential equations [Invited]
Kazuhiro Takimoto
Colloquiums of Mathematics, PDE and Mathematical Analysis of Nonlinear Phenomena   Jun 2007   
Rado type removability result for fully nonlinear PDEs [Invited]
Kazuhiro Takimoto
International Conference for the 25th Anniversary of Viscosity Solution   Jun 2007   
On the removability of level sets for solutions to fully nonlinear PDEs [Invited]
Kazuhiro Takimoto
PDEs and Phenomena in Miyazaki 2007 (PPM2007)   Nov 2007   
Rado type theorem for solutions to fully nonlinear equations [Invited]
Kazuhiro Takimoto
Recent Advances on Nonlinear Parabolic and Elliptic Differential Equations   Dec 2007   
Some removability results for solutions to fully nonlinear equations [Invited]
Kazuhiro Takimoto
Synthetic Research on Differential Equations   Dec 2007   
On the removability of level sets for solutions to fully nonlinear PDEs [Invited]
Kazuhiro Takimoto
Young Asian Conference on Partial Differential Equations   Jan 2008   
Rado type removability result for fully nonlinear equations [Invited]
Kazuhiro Takimoto
PDE Workshop   Jan 2008   
On the removability of level sets for some fully nonlinear equations [Invited]
Kazuhiro Takimoto
DE Seminar at Sapporo Medical University (31st DE Seminar)   Sep 2008   
On the removability of level sets for some fully nonlinear equations [Invited]
Kazuhiro Takimoto
The 26th Kyushu Symposium on Partial Differential Equations   Jan 2009   
Removability of level sets for Hessian equations and curvature equations [Invited]
Kazuhiro Takimoto
Workshop on Viscosity Solutions and Related Topics   Jan 2009   
On the removability of level sets for solutions to fully nonlinear equations [Invited]
Kazuhiro Takimoto
Seminario del Departamento de Mathematica Aplicada   Feb 2009   
Rado type removability theorem for fully nonlinear PDEs and related results [Invited]
Kazuhiro Takimoto
Symposia in School of Mathematics and Statistics   Mar 2009   
Removability of level sets for two classes of fully nonlinear elliptic equations [Invited]
Kazuhiro Takimoto
New Developments of Functional Equations in Mathematical Analysis   Nov 2009   
Some theorems on the removability of a singular set for Hessian equation and curvature equation determined by the elementary symmetric function [Invited]
Kazuhiro Takimoto
Kagoshima Seminar on Algebra, Analysis, and Geometry V   Feb 2010   
On the uniqueness of a solution to the boundary blowup problem for curvature equation [Invited]
Kazuhiro Takimoto
8th AIMS International Conference on Dynamical Systems, Differential Equations and Applications   May 2010   
The existence and uniqueness of a boundary blowup solution to Tex-curvature equation [Invited]
Kazuhiro Takimoto
PDE Seminar   Jul 2010   
On the existence and uniqueness of boundary blowup solutions to k-curvature equation [Invited]
Kazuhiro Takimoto
Toya Analysis Seminar   Sep 2010   
Uniqueness of a boundary blowup solution to Tex-curvature equation
Kazuhiro Takimoto
Meeting of the Mathematical Society of Japan (Division of Functional Equations)   Sep 2010   
On the removability of singular sets for solutions to fully nonlinear PDEs [Invited]
Kazuhiro Takimoto
Colloquium of the Department of Mathematics   Oct 2010   
On the existence and uniqueness of boundary blowup solutions to Tex-curvature equation [Invited]
Kazuhiro Takimoto
Sino-Chilean Conference on Nonlinear Partial Differential Equations and Nonlinear Analysis   Dec 2010   
The existence and uniqueness of boundary blowup solutions to Tex-curvature equation [Invited]
Kazuhiro Takimoto
Analysis Seminar   Mar 2011   

Research Grants & Projects

 
KAKENHI
Project Year: Apr 2010 - Mar 2013    Investigator(s): TAKIMOTO, Kazuhiro
Analysis on the Solvability of Boundary Value Problem and the Behavior of Solutions to Fully Nonlinear Partial Differential Equations
Hiroshima University Fujii Research Fund
Project Year: Nov 2010 - Oct 2012    Investigator(s): Kazuhiro Takimoto