Last modified: March 28, 2008
OZAWA, Tohru
 Mailing Address :
 Department of Mathematics, Hokkaido University, Sapporo 0600810, Japan
ozawa@math.sci.hokudai.ac.jp
 Telephone & Facsimile Numbers :
 81 11 706 2672 (Office)
81 11 706 4839 / 81 11 706 2636 (Secretary)
 Current Research Topics :

 Nonlinear Schrödinger Equations
Scattering theory, Strichartz estimates, Analyticity and smoothing properties of solutions, Derivative coupling, etc.
 Nonlinear Hyperbolic Equations
KleinGordon equation, Dirac equation, Systems of wave equations, Strichartz estimates, Nonrelativistic limit, Selfsimilar solutions, etc.
 Function Spaces
Embedding theorems, Interpolation inequalities, Characterizations of fractional Sobolev spaces over Lie groups, etc.
 Publications :
 More than 90 papers in refereed journals. » Selected Papers with Comments
More than 80 papers in refereed journals. » Forthcoming Papers
More than 10 articles in Surikaisekikenkyusho Kokyuroku.
Part of my publications are cited in the following books.
 J. Bourgain, Global Solutions of Nonlinear Schrödinger Equations, AMS Colloquium Publications 46, 1999.
 R. Carles, Semiclassical analysis for nonlinear Schrödinger equations,World Scientific, 2008.
 T. Cazenave, Semilinear Schrödinger Equations, AMS Courant Lecture Notes in Mathematics 10, 2003.
 T. Cazenave and A. Haraux, An Introduction to Semilinear Evolution Equations, Oxford Science Publications, 1998.
 D. B. Dix, Large  Time Behavior of Solutions of Linear Dispersive Equations, Lecture Notes in Mathematics 1668, Springer, 1997.
 Y. Giga and M. H. Giga, Nonlinear Partial Differential Equations, Kyoritsu Publ. 1999 (in Japanese).
 J. Ginibre, Introduction aux équations de Schrödinger non linéaires, Cours de DEA 1994  1995, Paris Onze édition L 161, 1998.
 N. Hayashi, E. I. Kaikina, P. I. Naumkin, and I. A. Shishmarev, Asymptotics for Dissipative Nonlinear Equations, Lecture Notes in Mathematics 1884, Springer, 2006.
 L. Hörmander, Lectures on Nonlinear Hyperbolic Differential Equations, Mathématiques & Applications 26, Springer, 1996.
 Y. Charles Li, Chaos in Partial Differential Equations, International Press, 2003.
 C. Sulem and P.  L. Sulem, The Nonlinear Schrödinger Equations, Self  Focusing and Wave Collapse, Applied Mathematical Sciences 139, Springer, 1999.
 T. Tao, Nonlinear Dispersive Equations, CBMS Regional Conference Series in Math. Vol. 106, AMS, 2006.
 COE Activities :
 Program Leader
 MSJ Activities :

Board of trustees (since 2006)
Committee of Division of Functional Equations (since 2002), Chair (since 2005)
 Organizing Committees :
 Sapporo Symposium on PDE, Hokkaido University (since 1997)
 Harmonic Analysis and Nonlinear PDE, RIMS, Kyoto University (since 1997)
 COE Special Months "Nonlinear Dispersive Equations," August  September, 2004.
 COE Special Months "Recent development in Mathematical material sciences," October, 2004  March, 2005.
 Editorial Boards :
 Hokkaido Mathematical Journal (since 1995)
 SIAM Journal on Mathematical Analysis (19992004)
 MSJ Memoirs (since 2000)
 Differential and Integral Equations (since 2001)
 Other Activities

 Academic Degrees :
 Bachelor of Science, Department of Physics, Waseda University, March 1984 (Advisor : Masayoshi Tsutsumi)
Master of Science, RIMS, Kyoto University, March 1986 (Advisor : Shigetake Matsuura)
Doctor of Science, RIMS, Kyoto University, March 1990 (Advisor : Shigetake Matsuura)
 Professional Positions :
 Research Associate, Department of Mathematics, Nagoya University, April 1988  May 1990
Research Associate, RIMS, Kyoto University, June 1990  March 1992
Lecturer, Department of Mathematics, Hokkaido University, April 1992  March 1993
Associate Professor, Department of Mathematics, Hokkaido University, April 1993  March 1995
Professor, Department of Mathematics, Hokkaido University, April 1995  present
 Awards :
 Furukawa Sansui Prize (Physics), March 1984, Furukawa Sansui Meeting
 MSJ Spring Prize, March 1998, Mathematical Society of Japan
 Ph. D. Students :
 Makoto Nakamura (1999)
Shuji Machihara (2002)
Jun Kato (2003)
Yutaka Terasawa (2007)
 Research Projects Supported by JSPS :
 GrantinAid for Scientific Research (A) #09304012, 1997  2000
GrantinAid for Scientific Research (A) #13304011, 2001  2003
Research Supporting Staff : Satoshi Kosugi (2001), Kazuyuki Yamauchi (20012003)
GrantinAid for Scientific Research (S) #16104002, 2004  2008
Research Supporting Staff : Kazuyuki Yamauchi (2004), Michiyuki Watanabe (20052007), Satoshi Sasayama (2006), Yusuke Yamauchi (2007)
 JSPS Research Fellowships :
 Makoto Nakamura (1996  1999)
Shuji Machihara (2000  2001)
Jun Kato (2000  2003)
Yasuko Yamazaki (2003  2005)
Yutaka Terasawa(2006  2008)
 JSPS Postdoctal Fellowships for Foreign Researcher
 Yonggeun Cho (2004  2006)
 JSPS Invitation Fellowship programs for Research in Japan
 Rémi Carles (2006)
 Miscellaneous Articles