研究成果

２０１9年1月　遠藤真帆　兼子裕大、山田義雄
 Free boundary problem for a reaction-diffusion equation with positive bistable nonlinearity,
Discrete Continuous Dynamical Systems A, Vol. 40 (2020), 3375-3394.

２０１８年５月　兼子裕大、山田義雄
Spreading speed and profiles of solutions to a free boundary problem with Dirichlet boundary conditions,
Journal of Mathematical Analysis and Applications, Vol.465 (2018), 1159-1175.

２０１８年３月　兼子裕大、松澤寛
Spreading and vanishing in a free boundary problem for nonlinear diffusion equations with a given forced moving boundary,
Journal of Differential Equations, Vol. 265 (2018), 1000-1043.

２０１６年１２月　三好啓也、堤正義
Convergence of hydrodynamical limits for generalzed Carleman models,
Funkcialaj Ekvacioj. Vol. 59 (2016), 351-382.

２・O１６年９月　山本玲，山田義雄
Analysis of forest kinematic moddel with nonlinear degenerate diffusion,
Advances in Mathematical Sciences and Applications, Vol. 25, No.1 (2016), 307-320.

２０１６年７月　兼子裕大、山田義雄
Spreading, vanishing and singularity for radially symmetric solutions of a Stefan-type free boundary problem,
非線形現象の解析への応用としての発展方程式論の展開，数理解析研究所講究録 No. 1997 (2016), 86-95.

２０１６年３月　三好啓也、堤正義
Diffusive limits of nonlinear hyperbolic systems with variable coefficients,
Continuum Mech. Thermodyn. Vol. 28 (2016), 1583-1599.

２０１６年２月　吉田雄介
Asymptotic behavior of solutions for semilinear Volterra diffusion equations with spatial inhomegeneity,
抽象発展方程式論から見た偏微分方程式に関する評価方法の再考，数理解析研究所講究録No. 1984 (2016), 9-22.

２０１６年２月　河合優佑
Big and small spreading phenomena for free boundary problems of sprice budworm models,
抽象発展方程式論から見た偏微分方程式に関する評価方法の再考，数理解析研究所講究録No. 1984 (2016), 87-109.

２０１５年９月　河合優佑、山田義雄
Multiple spreading phenomena for a free boundary problem for a reaction-diffusion equation with a certain class of bistable nonlinearity,
Joournal of Differential Equations, Vol. 261 (2016), 538-572.

２０１５年３月　吉田雄介、山田義雄
Asymptotic behavior of solutions for semilinear Volterra diffusion equations with spatial inhomogeneity and advection,
Tokyo Journal of Mathematics, Vo. 39, No.1 (2016), 271-292.

２０１５年２月　兼子裕大、松澤寛
Spreading speed and sharp asymptotic profiles of solutions in free boundary problems for nonlinear advection-diffusion equations,
Journal of Mathematical Analysis and Applications, Vol. 428 (2015), 43-76.

２０１４年６月兼子裕大、山田義雄
On a population model with a free boundary and related elliptic problems,
常微分方程式の定性的理論の新展開(Kyoto, 2014), 数理解析研究所講究録, No. 1901 (2014), 69-78.

２０１４年１月兼子裕大
Spreading and vanishing behaviors for radially symmetric solutions of free boundary problems for reaction-diffusion equations,
Nonlinear Analysis: Real World Applications 18 (2014), 121-140.

２０１３年４月兼子裕大、山田義雄、大枝和浩
Remarks on spreading and vanishing for free boundary problems of some reaction-diffusion equations,
Funkcialaj Ekvacioj 57 (2014), 449-465.

２０１３年６月室谷義昭、江夏洋一、國谷紀良
Global stability for a multi-group SIRS epidemic model with varying population sizes,
Nonlinear Analysis: Real World Applications 14 (2013), 1693-1704.

２０１３年４月兼子裕大、山田義雄
Asymptotic behavior of solutions for free boundary problems related to an ecological model,
Proceedings of Seminar on Partial Differential Equations in Osaka 2012 -in honor of Professor Hiroki Tanabe’s 80th birthday- (2013), 55-64.

２０１３年４月江夏洋一
Asymptotic behavior of epidemic models governed by logistic growth,
Proceedings of Seminar on Partial Differential Equations in Osaka 2012 -in honor of Professor Hiroki Tanabe’s 80th birthday- (2013), 45-54.

２０１３年３月江夏洋一、室谷義昭
A simple discrete-time analogue preserving the global stability of a continuous-time SIRS epidemic model,
International Journal of Biomathematics 6 (2013) 1350001, 18 pages.

２０１２年大枝和浩
Coexistence states of a prey-predator model with cross-diffusion and a protection zone,
Adv. Math. Sci. Appl. 22 (2012), 501-520.

２０１２年１０月江夏洋一、中田行彦、室谷義昭
Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model,
Nonlinear Analysis: Real World Applications 13 (2012), 2120-2133.

２０１２年・V月江夏洋一、中田行彦、室谷義昭、 G. Izzo、 A. Vecchio
Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates,
Journal of Difference Equations and Applications 18 (2012), 1163-1181.

２０１２年５月兼子裕大、山田義雄
A free boundary problem modeling the invasion of species,
非平衡非線形現象の解析・|発展方程式の立場から－(Kyoto, 2011), 数理解析研究所講究録, No. 1792 (2012), 108-117.

２０１１年１１月兼子裕大、山田義雄
A free boundary problem for a reaction-diffusion equation appearing in ecology,
Adv. Math. Sci. Appl. 21 (2011), 467-492.

２０１１年６月大枝和浩
Stationary problem of a prey-predator cross-diffusion system with a protection zone,
現象の数理解析へ向けた非線形発展方程式とその周辺(Kyoto, 2010),数理解析研究所講究録,No.1746(2011), 58-68.

２０１１年５月大枝和浩
Effect of cross-diffusion on the stationary problem of a prey-predator model with a protection zone,
J. Differential Equations 250 (2011), 3988-4009.

２０１１年１月江夏洋一、中田行彦、室谷義昭
Global stability of SIR epidemic models with a wide class of nonlinear incidence rates and distributed delays
Discrete and Continuous Dynamical Systems Series B 15 (2011), 61-74.

２０１０年８月江夏洋一
Lyapunov functional techniques on stability analysis for mathematical models,
第6回生物数学の理論とその応用(Kyoto,2009),・迫揄ﾍ研究所講究録,No.1704(2010), 120-127.

２０１０年４月江夏洋一、中田行彦、室谷義昭
Global stability for a class of discrete SIR epidemic models
Mathematical Biosciences and Engineering, 7 (2010), 347-361.

２００９年５月江夏洋一
Permanence for multi-species nonautonomous Lotka-Volterra cooperative systems,
American Institute of Physics Conference Proceedings, 1124 (2009), 109-118.

２００９年４月大枝和浩
Stationary patterns for a Lotka-Volterra cooperative model with a density-dependent diffusion term,
Funkcialaj Ekvacioj, Vol.52 (2009), 93-112.

２００８年１２月若狭徹
Representation and asymptotic formulas for 1-dimensional linearized eigenvalue problems with Dirichlet boundary condition,
submitted in Proceeding of WCNA2008.

２００８年４月大枝和浩
Stationary patterns for a cooperative model with nonlinear diffusion,
非線形発展方程式と現象の数理(Kyoto,2007),数理解析研究所講究録,No.1588(2008),87-98.

２００７年１０月若狭徹
Representation and asymptotic formulas for some 1-dimensional linerized eigenvalue problems,
変分問題とその周辺(Kyoto,2007),京都大学数理解析研究所講究録,No.1591(2008),67-87.

２００６年１２月若狭徹、四ツ谷晶二
Representation formulas for some 1-dimensional linearized eigenvalue problems,
Commun. Pure Appl. Anal. 7(2008),745-763.

２００６年６月中島主恵、若狭徹
Generation of interfaces for Lotka-Volterra competition diffusion system with large interaction rates,
J. Differential Equations. 235(2007),586-608.

２００５年１０月佐藤典弘
Some nonexistence results of stationary solution for the Gray-Scott model,
Nonlinear Anal. Theory, Methods & Applications, Vol.65(2006),1644-1653.

２００５年７月若狭徹
Exact eigenvalues and eigenfunctions associated with linearization for Chafee-Infante problem,
Funkcialaj Ekvacioj, Vol. 49(2006), 321-336.

２００５年６月浦野道雄、中島主恵、山田義雄
Steady-states with transition layers and spikes for a bistable reaction-diffusion equation,
Mathematical approach to nonlinear phenomena, analysis and simulations, 267-279, Gakuto Intern. Ser. Math. Sci. Appl. Vol. 23, 2005.

２００５年５月浦野道雄、中島主恵、山田義雄
Transition layers and spikes for a bistable reaction-diffusion equation,
Adv. Math. Sci. Appl. Vol. 15(2005), 683-707.

２００５年５月門田智仁、久藤衡介
Positive steady states for a prey-predator model with some nonlinear diffusion terms,
J. Math. Anal. Appl. Vol. 323(2006), 267-279.

２００５年２月久藤衡介、山田義雄
Coexistence states for a prey-predator model with cross-diffusion,
Dynamical Systems and Differential Equations,
Discrete and Concinuous Dynamical Systems, Supplement Volume (2005), 536-545.

２００５年２月浦野道雄、中島主恵、山田義雄
Transition layers and spikes for a reaction-diffusion equation with bistable nonlinearity,
Dynamical Systems and Differential Equations,
Discrete and Continuous Dynamical Systems, Supplement Volume (2005), 868-877.

２００５年１月若狭徹
Generation of an interface of competition-diffusion systems with large interaction,
発展方程式と解の漸近解析 (Kyoto, 2005), 数理解析研究所講究録 No. 1436 (2005), 145-154.

２００４年１１月久藤衡介、山田義雄
Multiple existence and stability of steady-states for a prey-predator system with cross-diffusion,
Nonlocal Elliptic and Parabolic Problems, Banach Center Publications, Vol.66. (2004), 199-210.

２００３年１０月　浦野道雄
Transition layers and spikes for a bistable reaction-diffusion equations,
発展方程式と解の漸近解析 (Kyoto, 2003), 数理解析研究所講究録 No. 1358 (2003), 34-45.

２００３年６月大屋博一
Existence results for some quasilinear elliptic equations in an unbounded domain,
変分問題とその周辺 (Kyoto, 2003), 数理解析研究所講究録 No. 1347 (2003), 156-166.

２００３年５月大屋博一
Existence results for some quasilinear elliptic equations involving critical Sobolev exponents,
Advances in Differential Equations Vol. 9 (2004), 1339-1368.

２００３年１月久藤衡介
Stability of steady-state solutions to a prey-predator system with cross-diffusion,
J. Differential Equations. Vol.197(2004), 293-314

２００２年１０月久藤衡介、山田義雄
Multiple coexistence states for a prey-predator system with cross-diffusion,
J. Differential Equations. Vol.197(2004), 315-348

２００２年７月大屋博一
Exponentially decaying solutions of quasilinear elliptic equations in $R^N$,
Adv. Math. Sci. Appl. Vol. 13(2003), 287-299.

２００２年３月佐藤典弘
A note on the stability for the Gray-Scott model,
Adv. Math. Sci. Appl. Vol. 12 (2002), 785-790.

２００１年７月広瀬健文、山田義雄
Multiple existence of positive solutions of competing species equations with diffusion and large interactions,
Adv. Math. Sci. Appl. Vol. 12 (2002), 435-453.

２００１年７月　中島主恵
Multi-layered stationary solutions for a spatially inhomogeneous Allen-Cahn equation,
J. Differential Equations, Vol. 191 (2003), 234-276.

２００１年６月久藤衡介
Diffusion problems with concave-convex nonlinearities,
変分問題とその周辺 (Kyoto, 2001), 数理解析研究所講究録 No. 1237 (2001), 83-98.

２００１年５月　中島主恵、田中和永
Clustering layers and boundary layers in spatially inhomogeneous phase transition problem,
Ann. Inst. H. Poincare Anal. Non Lineaire Vol. 20 (2003), 107-143.

２０００年１０月　中島主恵
双安定型方程式の定常問題に現れる密集した遷移層とスパイク，
非線形発展方程式とその応用, 数理解析研究所講究録 No. 1197 (2000), 195-207.

２０００年１０月　中島主恵
Multi-layered stationary solutions for a spatially inhomogeneous Allen-Cahn equation,
Nonlinear Anal. Vol. 47 (2001), Proceedings of the Third World Congress of Nonlinear Analysis, 825-836.

２０００年１０月　久藤衡介
Stabilization of solutions of the diffusion equation with a non-Lipschitz reaction term,
Nonlinear Anal. Vol. 47 (2001), Proceedings of the Third World Congress of Nonlinear Analysis, 789-800.

２０００年９月　竹内慎吾
Asymptotic behavior of solutions for partial differential equations with degenerate diffusion and logistic reaction,
Nonlinear Anal. Vol. 47 (2001), Proceedings of the Third World Congress of Nonlinear Analysts, 1715-1724.

２０００年５月久藤衡介
Large-time behavior of solutions of diffusion equations with concave-convex reaction term,
Adv. Math. Sci. Appl. Vol.12 (2002), 307-325.

１９９９・N１１月竹内慎吾
Behavior of solutions for a degenerate parabolic equation with logistic reaction,
Free Boundary Problems: Theory and Applications., GAKUTO International Series, Mathematical Sciences and Applications Vol. 13 (2000), 355-368.

１９９９年９月竹内慎吾
Multiplicity result for a degenerate elliptic equation with logistic reaction,
J. Differential Equations Vol. 137 (2001), 138-144.

１９９９年６月竹内慎吾
Degenerate elliptic equation with logistic reaction,
変分問題とその周辺 (Kyoto, 1999), 数理解析研究所講究録 No. 1117 (1999), 119-133.

１９９９年３月竹内慎吾
Positive solutions of a degenerate elliptic equation with logistic reaction,
Proc. Amer. Math. Soc. Vol. 129, No. 2 (2001), 433-441

１９９９年３月市川達夫、山田義雄
Some remarks on global solutions to quasilinear parabolic system with cross- diffusion,
Funkcial. Ekvac., Vol.43, No.2 (2000), 285-301

１９９８年１１月中島主恵
Multiple existence of spatially inhomogeneous steady-states for competition diffusion systems,
Adv. Math. Sci. Appl. Vol. 9, No. 2 (1999), 973-991.

１９９８年７月竹内慎吾
Behavior of solutions near the flat hats of stationary solutions for a degenerate parabolic equation,
SIAM J. Math. Anal. Vol. 31 (2000), 678-692.

１９９８年５月中島主恵
Stable transition layers in a balanced bistable equation,
Differential Integral Equations Vol.13 , No.7-9 (2000), 1025-1038

１９９８年４月吉田敦、山田義雄
Global attractivity of a coexistence state for a certain class of reaction- diffusion systems with 3 x 3 cooperative matrices,
Adv. Math. Sci. Appl. Vol. 9, No. 2 (1999), 695-706.

１９９７年１２月廣瀬宗光
Structure of positive radial solutions to the Haraux-Weissler equation II,
Adv. Math. Sci. Appl. Vol. 9, No. 1 (1999), 473-497.

１９９７年１０月竹内慎・・br> Remarks on a reaction-diffusion equation with degenerate p-Laplacian,
非線形発展方程式とその応用 (Kyoto, 1997), 数理解析研究所講究録 No. 1061(1998), 27-42.

１９９７年８月竹内慎吾、山田義雄
Asymptotic properties of a reaction-diffusion equation with degenerate $p$- Laplacian,
Nonlinear Anal. Vol. 42 (2000), 41-61.

１９９７年４月大城英暉、竹内慎吾，山田義雄
非線形現象の解析：分岐と進行波について、
早稲田大学理工ジャーナル Vol. 1 (1997).

１９９７年１月大城英暉
Traveling wave solutions for some quasilinear differential equations,
Adv. Math. Sci. Appl. Vol. 8 (1998), 761-777.

１９９６年１０月中島主恵
On radial and non-radial positive steady-states for Lotka-Volterra competition model on two-dimensional annulus,
非線形発展方程式とその応用 (Kyoto, 1996), 数理解析研究所講究録 No. 1009 (1997), 29-37.

１９９６年1月廣瀬宗光、柳田英二
Bifurcation of rapidly decaying solutions for the Haraux-Weissler equation,
Adv. Math. Sci. Appl. Vol. 7 (1997), 619-630.

１９９５年１２月中島主恵、山田義雄
Positive steady states for prey-predator models with cross-diffusion,
Adv. Differential Equations Vol. 1 (1996), 1099-1122.

１９９５年１０月廣瀬宗光
Structure of radial solutions to $\Delta u + \frac{1}{2}x\cdot\nabla u + \lambda u + \vert u\vet^{p-1}u = 0 $ in $R^n$,
非線形発展方程式とその応用 (Kyoto, 1995), 数理解析研究所講究録 No. 966 (1996), 155-169.

１９９５年９月 C. Dohmen、廣瀬宗光
Structure of positive radial solutions to the Haraux-Weissler equation,
Nonlinear Anal. Vol. 33 (1998), 51-69.

１９９４年１０月廣瀬宗光
On the positive radial solutions to the Haraux-Weissler equation,
非線形発展方程式とその応用 (Kyoto, 1994), 数理解析研究所講究録 No. 913 (1995), 148-168.

１９９４年１０月中島主恵、山田義雄
On positive steady-states for some reaction-diffusion system,
Adv. Math. Sci. Appl. Vol. 6 (1996), 279-289.

１９９４年９月廣瀬宗光
Structure of positive radial solutions to a semilinear elliptic PDE with a gradient-term,
Funkcial. Ekvac. Vol.39 (1996), 323-345.

１９９４年５月菱田俊明
Global existence and exponential stability of convection,
J. Math. Anal. Appl. Vol. 196 (1995), 699-721.

１９９２年６月菱田俊明
Lack of uniformity of $L^2$-decay for viscous incompressible flows in exterior domains,
Adv. Math. Sci. Appl. Vol. 2 (1993), 345-367.

１９９１年５月菱田俊明
Asymptotic behavior and stability of solutions to the exterior convection problem,
Nonlinear Anal. Vol. 22 (1994), 895-925.

１９９１年４月菱田俊明、山田義雄
Global solutions for the heat convection equation in an exterior domain,
Tokyo J. Math. Vol. 15 (1992), 135-151.

１９８９年１０月星野弘喜、山田義雄
Solvability and smoothing effect for semilinear parabolic equations,
Funkcial. Ekvac. Vol.34 (1991), 475-494.

１９８９年９月菱田俊明
Existence and regularizing properties of solutions for the nonstationary convection problem,
Funkcial. Ekvac. Vol.34 (1991), 449-474.

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