Professional Experience:
April, 1977– –September, 1982 Instructor, Tokyo Metropolitan College of Aeronautical EngineeringApril, 1995– Professor, Graduate School of Science, Tohoku University
Publications
[1] Stability of bifurcating solutions of the Gierer-Meinhardt systems, Tohoku Mathematical
Journal 31 (1979), 221-246.
[2] A priori estimates for stationary solutions of an activator-inhibitor model due to Gierer and
Meinhardt, Tohoku Mathematical Journal 34 (1982), 113-132.
[3] Global stability of stationary solutions to a nonlinear diusion equation in phytoplankton
dynamics, (with Hitoshi Ishii), Journal of Mathematical Biology 16 (1982/83), 1-24.
[4*] A nonlinear diusion equation in phytoplankton dynamics with self-shading eect, (with
Hitoshi Ishii), Mathematics in biology and medicine (Bari, 1983), 66-71, Lecture Notes
in Biomath. 57, Springer, Berlin, 1985.
[5] Point-condensation for a reaction-diusion system, Journal of Dierential Equations 61
(1986), 208-249.
[6] On the Neumann problem for some semilinear elliptic equations and systems of activator-
inhibitor type, (withWei-Ming Ni), Transactions of the American Mathematical Society
297 (1986), 351-368.
[7] Large amplitude stationary solutions to a chemotaxis system, (with Chang-Shou Lin and
Wei-Ming Ni), Journal of Dierential Equations 72 (1988), 1-27.
[8] On the shape of least-energy solutions to a semilinear Neumann problem, (with Wei-Ming
Ni), Communications on Pure and Applied Mathematics 44 (1991), 819-851.
[9*] On the existence and shape of solutions to a semilinear Neumann problem, (with Wei-
Ming Ni), Nonlinear diusion equations and their equilibrium states, 3 (Gregynog,
1989), 425-136, Progress in Nonlinear Dierential Equations and their Applications,
7, Birkh¨auser Boston, Boston, MA, 1992.
[10] Singular behavior of least-energy solutions of a semilinear Neumann problem involving crtical
Sobolev exponents, (with Xing Bin Pan andWei-Ming Ni), Duke Mathematical Journal
67 (1992), 1-20.
[11] Locating the peaks of least-energy solutions to a semilinear Neumann problem, (with Wei-
Ming Ni), Duke Mathematical Journal 70 (1993), 247-281.
[12*] Spike-layers in semilinear elliptic singular perturbation problems, (withWei-Ming Ni), De-
generate diusions (Minneapolis, MN, 1991), 131-139, IMA Volumes in Mathematics
and its Applications, Springer, New York, 1993.
[13] Point condensation genereated by a reaction-diusion system in axially symmetric domains,
(withWei-Ming Ni), Japan Journal of Industrial and Applied Mathematics 12 (1995),
327-365.
[14*] Spiky patterns and their stability in a reaction-diusion system, Proceedings of the Korea-
Japan Partial Dierential Equations Conference (Taejon, 1996), 8pp, Lecture Notes
Series 39, Seoul National University, Seoul, 1997.
[15] On the location and profile of spike-layer solutions to a singularly perturbed semilinear
Dirichlet problem: intermediate solutions, (with Wei-Ming Ni and Juncheng Wei), Duke
Mathematical Journal 94 (1998), 597-618.
[16*] The work of Yoshikazu Giga—traces of motions of surfaces (in Japanese), (with Hitoshi
Ishii), Sugaku 52 (2000), 188-196.
[17*] Closed surfaces minimizing the bending energy under prescribed area and volume, (with
Takeyuki Nagasawa), International Conference on Dierential Equations, Volumes I,
2 (Berlin, 1999), 561-563, World Scientific Publications, River Edge, NJ, 2000.
[18] Stability of least energy patterns of the shadow system for an activator-inhibitor model, (with
Wei-Ming Ni and EijiYanagida), Japan Journal of Industrial and Applied Mathematics
18 (2001), 259-272.
[19] Method of rotating planes applied to a singularly perturbed Neumann problem, (with Chang-
Shou Lin), Calculus of Variations and Partial Dierential Equations 13 (2001), 519-536.
[20] Bifurcating critical points of bending energy under constraints related to the shape of red
blood cells, (with Takeyuki Nagasawa), Calculus of Variations and Partial Dierential
Equations 16 (2003), 63-111.
[21] The dynamics of a kinetic activator-inhibitor system, (with Wei-Ming Ni and Kanako
Suzuki), Journal of Dierential Equations 229 (2006), 426-465.
[22*] Global solutions to a one-dimensional nonlinear parabolic system modeling colonial formation
by chemotactic bacteria, (with Khin Pyu Phyu Htoo and Masayasu Mimura), Asymp-
totic analysis and singularities–elliptic and parabolic PDEs and related problems,
613-622, Advanced Studies in Pure Mathematics 47-2 (2007), Mathematical Society of
Japan, Tokyo.
[23*] Determination of the limit sets of trajectories of the Gierer-Meinhadt system without diu-
sion, (withWei-Ming Ni and Kanako Suzuki), Asymptotic analysis and singularities–
elliptic and parabolic PDEs and related problems, 689-708, Advanced Studies in Pure
Mathematics 47-2 (2007), Mathematical Society of Japan, Tokyo.
[24*] On the role of the source terms in an activator-inhibitor system proposed by Gierer and
Meinhardt, (with Kanako Suzuki), Asymptotic analysis and singularities–elliptic and
parabolic PDEs and related problems, 749-766, Advanced Studies in Pure Mathemat-
ics 47-2 (2007), Mathematical Society of Japan, Tokyo.
[25] Representation formula for the critical points of the TAdjbakhsh-Odeh functional and its
application, (with KohtaroWatanabe), Japan Journal of Industrial and Applied Math-
ematics 25 (2008), 331-372.
[26*] Behavior of solutions to an activator-inhibitor system with basic production tems, (with
Kanako Suzuki), Proceedings of Czech-Japanese Seminar in Applied Mathematics
2008, 49-59, COE Lecture Note, 14, Kyushu University Faculty of Mathematics,
Fukuoka, 2009.
[27*] Collapse of patterns and eect of basic production terms in some reaction-diusion systems,
(with Kanako Suzuki), Current advances in nonlinear analysis and related topics,
163-187, GAKUTO International Series on Mathematical Sciences and Applications,
32, Gakkotosho, Tokyo, 2010.
[28] On the role of basic production terms in an activator-inhibitor system modeling biological
pattern formation, (with Kanako Suzuki), Funkcialaj Ekvacioj 54 (2011), 237-274.
[29*] Global bifurcation structure on a shadow system with a source term–representation of all
solutions, (with Hideaki Takaichi and Shoji Yotsutani), Discrete and Continuous Dy-
namical Systems 2011, Dynamical systems, dierential equations and applications,
8th AIMS Conference. Supplement Volume II, 1344-1350.
[30] Pattern formation in a diusion-ODE model with hysteresis, (with Anna Marciniak-
Czochra and Madoka Nakayama), Dierential and Integral Equations 28 (2015),
655-694.