Research Member   Kazuhiro   Ishige   (石毛和弘)

Professor at Department of Mathematics, Graduate School of Mathematical Sciences of the University of Tokyo E-mail:  @

Personal History

1995 Assistant at Division of Mathematics, Graduate School of Information Sciences, Tohoku University
1998 Assistant Professor at Graduate School of Mathematics, Nagoya University
2004 Assistant Professor at Mathematical Institute, Graduate School of Tohoku University
2010 Professor at Mathematical Institute, Graduate School of Tohoku University
2017 Professor at Department of Mathematics, Graduate School of Mathematical Sciences of the University of Tokyo

Research Area

Analysis of shapes and asymptotics of solutions for parabolic equations

Selected Publications

• [1] K. Ishige and M. Murata, Uniqueness of nonnegative solutions of the Cauchy problem for parabolic equations on manifolds or domains, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 30 (2001), 171--223.
• [2] K. Ishige and Y. Kabeya, $L^p$ norms of nonnegative Schr\''odinger heat semigroup and the large time behavior of hot spots, J. Funct. Anal. 262 (2012), 2695--2733.
• [3] K. Ishige and T. Kawakami, Refined asymptotic profiles for a semilinear heat equation, Math. Ann. 353 (2012), 161--192.
• [4] Y. Fujishima and K. Ishige, Blow-up set for a semilinear heat equation and pointedness of the initial data, Indiana Univ. Math. J. 61 (2012), 627--663.
• [5] K. Ishige and P. Salani, Parabolic power concavity and parabolic boundary value problems, Math. Ann. 358 (2014), 1091--1117.