論文・プレプリント(papers & preprints)
[3] 02/MAR/10
プレプリント (preprints)
I. Takagi

Kanako Suzuki and Izumi Takagi, On the role of basic production terms in an activatorinhibitor system modeling biological pattern formation

Kanako Suzuki and Izumi Takagi, Collapse of patterns and effect of basic production terms in some reactiondiffusion systems
S. Okabe

Shinya Okabe, The variational problem for a certain action functional defined on planar closed curves.
K. Horihata
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論文 (papers)
I. Takagi
 K. Suzuki and I. Takagi, Behavior of solutions to an activatorinhibitor system with basic production terms, Proceedings of the CzechJapanese Seminar in Applied Mathematics 2008 held at Takachiho/University of Miyazaki, Miyazaki, Japan, September 17, 2008, pp. 4959.
2009
 K. Watanabe and I. Takagi, Representation formula for the critical points of the TadjbakhshOdeh functional and its application, Japan Journal of Industrial and Applied Mathematics 25 (2008), 331372.
 K. Suzuki and I. Takagi, On the role of the source terms in an activatorinhibitor system proposed by GiererMeinhardt, Eds. H. Kozono, T. Ogawa, K. Tanaka, Y. Tsutsumi, E. Yanagida,
Advanced Studies in Pure Mathematics: Asymptotic Analysis and Singularities 472 (2007), 749766.
 W.M. Ni, K. Suzuki and I. Takagi, Determination of the limit sets of trajectories of the GiererMeinhardt system without diffusion, Eds. H. Kozono, T. Ogawa, K. Tanaka, Y. Tsutsumi, E. Yanagida,
Advanced Studies in Pure Mathematics, Asymptotic Analysis and Singularities 472 (2007), 689708.
 Khin Phyu Phyu Htoo, Masayasu Mimura and Izumi Takagi, Global solutions to a onedimensional nonlinear parabolic system modeling colonial formation by chemotactic bacteria, Eds. H. Kozono, T. Ogawa, K. Tanaka, Y. Tsutsumi, E. Yanagida,
Advanced Studies in Pure Mathematics, Asymptotic Analysis and Singularities 472 (2007), 613622.
 WeiMing Ni, Kanako Suzuki and Izumi Takagi, The dynamics of a kinetic activatorinhibitor system, J. Differential Equations 229 (2006), 426465.
H. Ikeda
 S.I. Ei, H. Ikeda and T. Kawana, Dynamics of front solutions in a specific reactiondiffusion system in one dimension,
Japan J. Indust. Appl. Math. 25 (2008), 117147.
 H. Ikeda, Dynamics of weakly interacting front and back waves in threecomponent systems,
Toyama Math. J. 30 (2007), 134.
T. Nagasawa
 Y. Miyamoto, T. Nagasawa and F. Suto, How to unify the total/local lengthconstraints of
the gradient flow for the bending energy of plane curves,
Kybernetika 45 (4) (2009), 615624.
 Yoshihiko Kohsaka and Takeyuki Nagasawa, On the existence of solutions of the Helfrich flow and its center manifold near spheres,
Differential Integral Equations 19 (2006), 121142.
K. Nakashima
 Fang Li, Kimie Nakashima and WeiMing Ni, Stability from the point of view of diffusion, relaxation and spatial inhomogeneity, Discrete and Continuous Dynamical Systems 20 (2008), 259275.
 D. Hilhorst, G. Karali, H. Matano and K. Nakashima, Singular limit of a spatially inhomogeneous LotkaVolterra competitiondiffusion system, Commun. Partial Differential Equations 32 (2007), 879933.
 Yihong Du and Kimie Nakashima, Morse index of layered solutions to the heterogeneous AllenCahn equation, J. Differential Equations 238 (2007), 87117.

Kimie Nakashima and Tohru Wakasa, Generation of interfaces for LotkaVolterra competitiondiffusion system with large interaction rates, J. Differential Equations 235 (2007), 586608.
 Kimie Nakashima, Multilayered sationary solutions for a spatially inhomogeneous AllenCahn equation, J. Differential Equations 191 (2003), 234276.
S. Okabe
 Shinya Okabe, The dynamics of an elastic closed curve under uniform high pressure,
Calc. Var. Partial Differential Equations 33 (2008), 493521.
 Shinya Okabe, Asymptotic form of solutions of the TadjbakhshOdeh variational problem,
Advanced Studies in Pure Mathematics 472 (2007),
Asymptotic Analysis and Singularities  Elliptic and parabolic PDEs and related problems, 709728.
 Shinya Okabe, The motion of elastic planar closed curves under the areapreserving conditon,
Indiana Univ. Math. J. 56 (2007), 18711912.
D. Ueyama
 I. Lagzi and D. Ueyama, Pattern transition between periodic Liesegang pattern and crystal growth regime in reactiondiffusion systems,
Chemical Physics Letters 468 (2009), pp.188192.
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 H. Shoji, K. Yamada, D. Ueyama and T. Ohta, Turing patterns in three dimensions,
Phys. Rev. E 75(4) (2007), 046212.
S. Yamada
 Seiju Ohashi, Tetsuya Shiromizu and Sumio Yamada, Riemannian Penrose inequality and a virtual gravitational collapse,
Physical Review E 80 (2009), 047501.1047501.4.
 Robert Gulliver and Sumio Yamada, Area density and regularity for soap filmlike surfaces spanning graphs,
Math. Z. 253 (2006), 315331.
 T. Shiromizu, S. Yamada and H. Yoshino, On existence of matter outside a static black hole,
J. Math. Phys. 47 (2006), 112502, 8pp.
 Chikako Mese and Sumio Yamada, The parametrized Steiner problem and the singular Plateau problem via energy,
Trans. Amer. Math. Soc. 358 (2006), 28752895.
E. Yanagida
 Shota Sato and Eiji Yanagida, Solutions with moving singularities
for a semilinear parabolic equation,
J. Differential Equations 246 (2009), 724748.
 Polacik and E. Yanagida, Convergence of anisotropically decaying solutions for a supercritical semilinaer heat equation,
J. Dyn. Diff. Eqs. 21 (2009), 329341.
 S.I. Ei, H. Ikeda, K. Ikeda and E. Yanagida, Eigenfunctions of the adjoint operator associated with a pulse solution
of some reactiondiffusion systems,
Bull. Inst. Math. Acad. Sin. (N.S.) 3 (2008), 603666.
 M. Fila, M. Winkler and E. Yanagida, Convergence of solutions of a semilinear parabolic equation
to selfsimilar solutions of the linear heat equation,
Adv. Diff. Eqs. 13 (2008), 11311149.

M. Hoshino and E. Yanagida, Sharp estimate of the convergence rate for a semilinear parabolic
equation with supercritical nonlinearity,
Nonlinear Analysis TMA 69(2008), 31363152.
 Eiji Yanagida, Irregular behavior of solutions for Fisher's equation,
Dynam. Differential Equations 19 (2007), 895914.
 M. Fila, J.R. King, M. Winkler and E. Yanagida, Optimal lower bound of the growup rate for a superlinear parabolic equations,
J. Differential Equations 228 (2006), 339356.
Yuan Lou and Eiji Yanagida, Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics,
Japan J. Indust. Appl. Math. 23 (2006) 275292.
 Ryo Ikota and Eiji Yanagida, Stability of stationary interfaces of binarytree type,
Calc. Variations Partial Differentail Equations 409 (2005), 375389.
 M. Fila, M. Winkler and E. Yanagida, Convergence rate for a parabolic equation with supercritical nonlinearity,
J. Dynam. Differential Equations 17 (2005), 249269.