Takagi Izumi（高木泉）

时间：2016-09-09 浏览：

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Education:

March, 1973 BSc., Mathematical Institute, Tohoku University, Sendai, Japan

March, 1976 MSc., Mathematical Institute, Tohoku University, Sendai, Japan

September, 1985 DSc., Mathematical Insitute, Tohoku University, Sendai, Japan

Professional Experience:

April, 1977– –September, 1982 Instructor, Tokyo Metropolitan College of Aeronautical Engineering

October, 1982– –July, 1986 Assistant Professor, Faculty of Science, Tohoku University

August, 1986– –March, 1988 Lecturer, Faculty of Science, Tohoku University

April, 1988––March, 1995 Associate Professor, Faculty of Science, Tohoku University

April, 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.