List of papers and talks of Kazuhiro Takimoto

To Japanese Page

Research

Academic Degrees
1. B.A. (Science)	The University of Tokyo, March 1997.
2. M.A. (Mathematical Sciences)	The University of Tokyo, March 1999.
	(Title of the thesis)
	I. New Estimates for Solutions of the Prescribed Curvature Equations
	II. Generalized Solutions of Curvature Equations
3. Ph.D. (Mathematical Sciences)	The University of Tokyo, March 2003.
	(Title of the thesis)
	Isolated singularities for some types of curvature equations

To Profiles of Faculty and Research Scholars, Hiroshima University

Talks

On the solvability of Dirichlet problem for Hessian equation, Summer School of Applied Analysis Seminar, Kusatsu Seminar House, September 1997.
Nonclassical solutions for Hessian equations and curvature equations, Autumn School of Applied Analysis Seminar, Kusatsu Seminar House, October 1998.
New estimation for solutions of the prescribed curvature equations, Tuesday Seminar of Analysis, University of Tokyo, May 1999.
Isolated singularities for some types of curvature equations, Variational Problem Seminar, Tokyo Metropolitan University, July 2002.
Isolated singularities for some types of curvature equations, Viscosity Solutions of Differential Equations and Related Topics, RIMS, Kyoto University, September 2002.
Isolated singularities for some types of curvature equations, Meeting of the Mathematical Society of Japan (Division of Functional Equations), Shimane University, September 2002.
Isolated singularities for some types of curvature equations, Recent Topics in Nonlinear Partial Differential Equations, Yuzawa Culture Center, January 2003.
Isolated singularities for the cyrvature equation of order $k$, Hiroshima Mathematical Analysis Seminar, Hiroshima University, April 2003.
Removable sets for generalized solutions of $k$-curvature equations, Meeting of the Mathematical Society of Japan (Division of Functional Equations), Chiba University, September 2003.
Removable sets for curvature equations of order $k$, Autumn School of Applied Analysis Seminar, Kusatsu Seminar House, October 2003.
Removable sets for curvature equations of order $k$, Analysis Seminar, Kobe University, December 2003.
Removable sets for curvature equations of order $k$, Applied Mathematics Seminar, Tohoku University, December 2003.
Removable singularities of solutions to $k$-curvature equations, Mathematical Analysis Seminar, Meiji University, June 2004.
Removable singularities of solutions to $k$-curvature equations, Variational Problems and Related Topics, RIMS, Kyoto University, June 2004.
Removable singularities of solutions to $k$-curvature equations, Mathematical Analysis: Overview and Prospect (in honor of the 60th birthday of Professor Atsushi Inoue), Shonan Village Center, July 2004.
Singular sets for curvature equations of order $k$, Viscosity Solution Theory of Differential Equations and its Developments, RIMS, Kyoto University, July 2004.
Boundary blowup problem for $k$-curvature equation, Kyushu Functional Equation Seminar, Kyushu University, December 2004.
Singular sets for curvature equations of order $k$, Seminar on Analysis at University of Tsukuba, University of Tsukuba, January 2005.
Boundary blowup problem for $k$-curvature equation, Analysis Seminar, Saitama University, January 2005.
Boundary blowup problem for $k$-curvature equation, Meeting of the Mathematical Society of Japan (Division of Functional Equations), Nihon University, March 2005.
Singular boundary value problem for $k$-curvature equation, 14th MSJ-IRI 2005, Asymptotic Analysis and Singularity, Sendai International Center, July 2005.
Boundary blowup solutions to curvature equations, The 30th Sapporo Symposium on Partial Differential Equations, Hokkaido University, August 2005.
Removability of a level set for solutions to fully nonlinear equations, Autumn School of Applied Analysis Seminar, Kusatsu Seminar House, October 2005.
Solutions with boundary blowup for $k$-curvature equation, Mechanism of time and spatial patterns arising in reaction-diffusion equations, RIMS, Kyoto University, November 2005.
Removability of a level set for solutions to fully nonlinear equations, Meeting of the Mathematical Society of Japan (Division of Functional Equations), Chuo University, March 2006.
On the removability of a level set for solutions to fully nonlinear equations, Viscosity Solution Theory of Differential Equations and its Developments, RIMS, Kyoto University, May 2006.
Rad\'{o} type removability result for fully nonlinear PDEs, Asymptotic Analysis of Differential Equations and Viscosity Theory, University of Toyama, December 2006.
On Rad\'{o} type removability theorems for fully nonlinear partial differential equations, 4th Workshop on Nonlinear Partial Differential Equations, Fujiya Hotel, Yamashiro, March 2007.
On Rad\'{o} type removability theorems for fully nonlinear partial differential equations, Colloquiums of Mathematics, PDE and Mathematical Analysis of Nonlinear Phenomena, Okayama University, June 2007.
Rad\'{o} type removability result for fully nonlinear PDEs, International Conference for the 25th Anniversary of Viscosity Solution, Graduate School of Mathematical Sciences, the University of Tokyo, June 2007.
On the removability of level sets for solutions to fully nonlinear PDEs, PDEs and Phenomena in Miyazaki 2007 (PPM2007), Miyazaki University, November 2007.
Rad\'{o} type theorem for solutions to fully nonlinear equations, Recent Advances on Parabolic and Elliptic Differential Equations, Ryukoku University, December 2007.
Some removability results for solutions to fully nonlinear equations, Synthetic Research on Differential Equations, Graduate School of Mathematical Sciences, the University of Tokyo, December 2007.
Rad\'{o} type removability result for fully nonlinear equations, PDE Workshop, Taida Institute of Mathematical Sciences, National Taiwan University, January 2008.
On the removability of level sets for solutions to fully nonlinear PDEs, Young Asian Conference on Partial Differential Equations, POSCO International Center, Pohang University of Science and Technology(POSTECH), January 2008.
On the removability of level sets for some fully nonlinear equations, DE Seminar at Sapporo Medical University (31st DE Seminar), Sapporo Medical University, September 2008.
On the removability of level sets for some fully nonlinear equations, The 26th Kyushu Symposium on Partial Differential Equations, Kyushu University, January 2009.
Removability of level sets for Hessian equations and curvature equations, Workshop on Viscosity Solutions and Related Topics, Sapia Tower, Tokyo, January 2009.
On the removability of level sets for solutions to fully nonlinear equations, Seminario del Departamento de Mathemática Aplicada, Universidad Complutense de Madrid, February 2009.
Rad\'{o} type removability theorem for fully nonlinear PDEs and related results, Symposia in School of Mathematics and Statistics, Wuhan University, March 2009.
Removability of level sets for two classes of fully nonlinear elliptic equations, New Developments of Functional Equations in Mathematical Analysis, RIMS, Kyoto University, November 2009.
Some theorems on the removability of a singular set for Hessian equation and curvature equation determined by the elementary symmetric function, Kagoshima Seminar on Algebra, Analysis, and Geometry V, Kagoshima University, February 2010.
On the uniqueness of a solution to the boundary blowup problem for curvature equation, 8th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Dresden University of Technology, May 2010.
The existence and uniqueness of a boundary blowup solution to $k$-curvature equation, PDE Seminar, Hokkaido University, July 2010.
Uniqueness of a boundary blowup solution to $k$-curvature equation, Meeting of the Mathematical Society of Japan (Division of Functional Equations), Nagoya University, September 2010.
On the existence and uniqueness of boundary blowup solutions to $k$-curvature equation, Toya Analysis Seminar, Toya Sansui Hotel Kafu, September 2010.
On the removability of singular sets for solutions to fully nonlinear PDEs, Colloquium of the Department of Mathematics, Hiroshima University, October 2010.
On the existence and uniqueness of boundary blowup solutions to $k$-curvature equation, Sino-Chilean Conference on Nonlinear Partial Differential Equations and Nonlinear Analysis, Wuhan University, December 2010.
The existence and uniqueness of boundary blowup solutions to $k$-curvature equation, Analysis Seminar, Saitama University, March 2011.
On the existence and uniqueness of a solution to the boundary blowup problem for curvature equation, Kyushu Functional Equation Seminar, Fukuoka University Seminar House, May 2011.
Bernstein type theorem for Hessian quotient equations, INdAM Workshop (Second Italian-Japanese Workshop), Geometric Properties for Parabolic and Elliptic PDE's, Palazzone di Cortona, June 2011.
Global solutions to some types of Hessian quotient equations, The 16th Hiroshima Applied Analysis Seminar, Hiroshima University, August 2011.
On the existence and uniqueness of boundary blowup solutions to $k$-curvature equation, Seminar on Analysis at University of Tsukuba, University of Tsukuba, October 2011.
The existence and uniqueness of a solution to the boundary blowup problem for $k$-curvature equation, Kyoto University NLPDE Seminar, Kyoto University, January 2012.
Bernstein type theorem for $(k,l)$-Hessian quotient equation, Meeting of the Mathematical Society of Japan (Chugoku and Shikoku area), Okayama University, January 2012 (Speaker : Saori Nakamori).
The existence and uniqueness of boundary blowup solutions to $k$-curvature equation, Workshop of Mathematical Analysis in Tokyo Institute of Technology, Tokyo Institute of Technology, February 2012.
The dynamics of a parabolic quasilinear equation associated to the mean curvature operator, Symposia in School of Mathematics and Statistics, Wuhan University, March 2012.
Bernstein type theorem for $(k,l)$-Hessian quotient equation, Meeting of the Mathematical Society of Japan (Division of Functional Equations), Tokyo University of Science, March 2012 (Speaker : Saori Nakamori).
The dynamics of a quasilinear equation related to the mean curvature operator, PDE Seminar, Hokkaido University, July 2012.
The dynamics of a parabolic quasilinear equation associated to the mean curvature operator, Nonlinear PDE Workshop at Tohoku University, Tohoku University, September 2012.
A quasilinear parabolic perturbation of the linear heat equation, Colloquium in Ehime University, Ehime University, October 2012.
The existence and uniqueness of boundary blowup solutions to $k$-curvature equation, Seminar in Tokyo University of Science, January 2013.
A quasilinear parabolic perturbation of the linear heat equation, Applied Analysis Seminar, Kumamoto University, January 2013.
On the isolated singularities for partial differential equations, 11th Lunch-Time Seminar, Institute for Interdisciplinary Science, Hiroshima University, July 2013.
The dynamics of a parabolic quasilinear boundary value problem associated to the mean curvature operator, 3rd Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE's, Tokyo Institute of Technology, September 2013.
On the dynamics of a quasilinear parabolic problem related to the mean curvature operator, San-Daigaku Henbibun Houteishiki Seminar, Nihon University, November 2013.
Bernstein type theorem for some fully nonlinear PDEs, 10th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Universidad Autónoma de Madrid, July 2014.
Entire solution to the parabolic $k$-Hessian equation, Gifu Mathematical Science Seminar, Gifu University, October 2014.
Bernstein type theorem for some parabolic Hessian equation, Nonlinear PDE Workshop at Tohoku University, Tohoku University, November 2014.
Entire solution to the parabolic $k$-Hessian equation, Minami-Osaka Applied Analysis Seminar, Osaka City University, January 2015.
Bernstein type theorem for the parabolic $k$-Hessian equation, Meeting of the Mathematical Society of Japan (Division of Functional Equations), Meiji University, March 2015 (Speaker : Saori Nakamori).
Entire solution to the generalized parabolic $k$-Hessian equation, Geometric Properties for Parabolic and Elliptic PDE's, 4th Italian-Japanese Workshop, Grand Hotel San Pietro, Palinuro, May 2015.
Entire solutions to some types of parabolic Hessian equations, Meeting of the Mathematical Society of Japan (Division of Functional Equations), Kyoto Sangyo University, September 2015.
Bernstein type theorem for the generalized parabolic $k$-Hessian equation, Kyoto University NLPDE Seminar, Kyoto University, October 2015.
Entire solutions to the generalized parabolic $k$-Hessian equation, Applied Analysis Seminar, Kumamoto University, November 2015.
On a Bernstein type theorem for some types of parabolic Hessian equations, Asymptotic Problems for Partial Differential Equations and Viscosity Solutions, RIMS, Kyoto University, December 2015.
Bernstein type theorem for some types of parabolic Hessian equations, The 33rd Kyushu Symposium on Partial Differential Equations, Kyushu University Nishijin Plaza, January 2016.
Bernstein type theorems for parabolic $k$-Hessian equations, Maximum principles in partial differential equations and related topics, Hokkaido University, March 2016.
Entire solutions to generalized parabolic $k$-Hessian equations, 11th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Hyatt Regency Orlando, July 2016.
Some removability results for two classes of fully nonlinear PDEs, Qualitative Theory on Nonlinear Partial Differential Equations, Okayama University, September 2017.
On a Bernstein type theorem for some types of parabolic Hessian equations, Capital Normal University-Hiroshima University Joint conference on Mathematics, Capital Normal University, September 2017.
Some removability results for $k$-Hessian equation and $k$-curvature equation, 12th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, National Taiwan University, July 2018.
Kr\'{a}l type removability theorems for $k$-Hessian equation and $k$-curvature equation, 4th Swiss-Japanese PDE Seminar, I-site Namba, Osaka Prefecture University, September 2019.
Some removability results for $k$-Hessian equation and $k$-curvature equation, The 17th Hamamatsu Conference on Partial Differential Equations, Shizuoka University, December 2019.
Bernstein type theorem for the parabolic 2-Hessian equation under weaker conditions, Meeting of the Mathematical Society of Japan (Division of Functional Equations), Kumamoto University, September 2020.
The exterior Dirichlet problem for the generalized parabolic $k$-Hessian equations, Meeting of the Mathematical Society of Japan (Division of Functional Equations), Keio University, March 2021.
Exact blowup rate near the boundary of boundary blowup solutions to $k$-Hessian equation, Meeting of the Mathematical Society of Japan (Division of Functional Equations), Chiba University, September 2021.
Asymptotic behavior near the boundary of boundary blowup solutions to $k$-Hessian equation and $k$-curvature equation, Qualitative Theory of Ordinary Differential Equations and its Applications, RIMS, Kyoto University (online), November 2021.
Bernstein type theorem for the generalized parabolic 2-Hessian equation under weaker assumptions, Kyushu Functional Equation Seminar, online, November 2021.
On a Bernstein type theorem for the parabolic 2-Hessian equation under weaker assumptions, The 5th Workshop on the Behavior of Solutions to Reaction-Diffusion Equation and Nonlinear Dispersive Equation, online, February 2022.
Bernstein type theorem for the parabolic 2-Hessian equation under weaker assumptions, Tuesday Seminar of Analysis, University of Tokyo, November 2022.
The exterior Dirichlet problem for the generalized parabolic $k$-Hessian equations, Geometric Aspects on Partial Differential Equations, RIMS, Kyoto University, December 2022.
Blowup rate near the boundary of boundary blowup solutions to $k$-Hessian equation and $k$-curvature equation, The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications, University of North Carolina Wilmington, June 2023.
Higher order estimate near the boundary of a large solution to semilinear Poisson equation with double-power like nonlinearity, Meeting of the Mathematical Society of Japan (Division of Functional Equations), Tohoku University, September 2023 (Speaker : Yuxiao Zhang).
On the exterior Dirichlet problem for the generalized parabolic $k$-Hessian equations, 2024 Japan-Korea Workshop on Nonlinear PDEs and Its Applications, Hiroshima University, January 2024.

ktakimoto@ hiroshima-u.ac.jp

Back to the Homepage of Kazuhiro Takimoto
CV (Under construction)