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  谷口雅治  研究業績一覧 (34件)
  
  
  
  
  
    
    
      
	
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    - 全件表示
 
     
   
  
  
  論文
  
    
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Masaharu Taniguchi.
        
Multi-dimensional traveling fronts in bistable reaction-diffusion equations,
      The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications,
      Discrete and Continuous Dynamical Systems,
      Vol. 32,
      No. 3,
      pp. 1011--1046,
      Mar. 2012.
      
        
 
      
       公式リンク    
       
    
      - 
        
Masaharu Taniguchi.
        
Traveling fronts in perturbed multistable reaction-diffusion equations,
      Discrete and Continuous Dynamical Systems -- Supplement 2011,
      American Institute of Mathematical Sciences,
      Volume II,
      pp. 1368--1377,
      Dec. 2011.
      
        
      
      
      
 
    
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Yu Kurokawa,
Masaharu Taniguchi.
        
Multi-dimensional pyramidal traveling fronts in the Allen-Cahn equations,
      Proceedings of the Royal Society of Edinburgh: Section A,
      Vol. 141,
      No. 05,
      pp. 1031--1054,
      2011.
      
        
 
      
       公式リンク    
       
    
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Hiroshi Matano,
Mitsunori Nara,
Masaharu Taniguchi.
        
Stability of planar waves in the Allen-Cahn equation,
      Communications in Partial Differential Equations,
      Taylor & Francis,
      Vol. 34,
      No. 9,
      pp. 976--1002,
      Sept. 2009.
      
        
      
      
      
 
    
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Masaharu Taniguchi.
        
The uniqueness and asymptotic stability of pyramidal traveling fronts in the Allen-Cahn equations,
      Journal of Differential Equations,
      Elsevier,
      Vol. 246,
        2103--2130,
      Feb. 2009.
      
        
      
      
      
 
    
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Masaharu Taniguchi.
        
Traveling fronts of pyramidal shapes in the Allen-Cahn equations,
      SIAM Journal on Mathematical Analysis,
      Vol. 39,
      No. 1,
      pp. 319--344,
      Aug. 2007.
      
        
 
      
      
       
    
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Mitsunori Nara,
Masaharu Taniguchi.
        
The condition on the stability of stationary lines in a curvature flow in the whole plane,
      Journal of Differential Equations,
      Vol. 237,
      No. 1,
      pp. 61-76,
      Apr. 2007.
      
        
      
      
      
 
    
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Mitsunori Nara,
Masaharu Taniguchi.
        
Convergence to V-shaped fronts in curvature flows for spatially                       non-decaying initial perturbations,
      Discrete and Continuous Dynamical Systems,
      Vol. 16,
      No. 1,
      pp. 137ー156,
      Sept. 2006.
      
        
      
      
      
 
    
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Mitsunori Nara,
Masaharu Taniguchi.
        
Stability of a traveling wave in curvature flows for spatially non-decaying initial perturbations,
      Discrete and Continuous Dynamical Systems,
      Vol. 14,
      No. 1,
      pp. 203-220,
      2006.
      
        
      
      
      
 
    
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Hirokazu Ninomiya,
Masaharu Taniguchi.
        
Global stability of traveling curved fronts in the Allen-Cahn equations,
      Discrete and Continuous Dynamical Systems,
      Vol. 15,
      No. 3,
      pp. 819ー832,
      2006.
      
        
 
      
       公式リンク    
       
    
      - 
        
Mitsunori Nara,
Masaharu Taniguchi.
        
Stability of a traveling wave in curvature flows for spatially non-decaying initial perturbations,
      Discrete and Continuous Dynamical Systems,
      Vol. 14,
      No. 1,
      pp. 203-220,
      2006.
      
        
 
      
       公式リンク    
       
    
      - 
        
Hirokazu Ninomiya,
Masaharu Taniguchi.
        
Existence and global stability of traveling curved fronts in the Allen-Cahn equations,
      Journal of Differential Equations,
      Vol. 213,
      No. 1,
      pp. 204-233,
      2005.
      
        
      
      
      
 
    
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Masaharu Taniguchi.
        
A uniform convergence theorem for singular limit eigenvalue problems,
      Advances in Differential Equations,
      Vol. 8,
      No. 1,
      pp. 29-54,
      2003.
      
        
      
      
      
 
    
      - 
        
Masaharu Taniguchi.
        
Instability of planar traveling fronts in bistable  reaction-diffusion systems,
      Discrete and Continuous Dynamical Systems, Ser B,
      Vol. 3,
      No. 1,
      pp. 21-44,
      2003.
      
        
 
      
       公式リンク    
       
    
      - 
        
H. Ninomiya,
M. Taniguchi.
        
Stability of traveling curved fronts in a curvature flow with driving force,
      Methods and Applications of Analysis,
      Vol. 8,
      No. 3,
      pp. 429--450,
      2001.
      
        
      
      
      
 
    
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H. Ninomiya,
M. Taniguchi.
        
Traveling curved fronts of a mean curvature flow with constant driving force,
      Proceeding of International Conference on: Free Boundary Problems: Theory and Applications I, Mathematical Sciences and Applications, Gakkotosho,
      Vol. 13,
      pp. 206-221,
      2000.
      
        
      
      
      
 
    
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M. Taniguchi.
        
Modified SLEP method by uniform convergence theorems for linearized eigenvalue problems,
      Proceeding of International Conference on: Free Boundary Problems: Theory and Applications I, Gakkotosho,
      Vol. 13,
      pp. 369-384,
      2000.
      
        
      
      
      
 
    
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X. Chen,
M. Taniguchi.
        
Instability of spherical interfaces in a nonlinear free boundary problem,
      Advances in Differential Equations,
      Vol. 5,
      No. 4-6,
      pp. 747-772,
      2000.
      
        
      
      
      
 
    
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M. Taniguchi.
        
Multiple existence and linear stability of equilibrium balls in a nonlinear free boundary problem,
      Quarterly of Applied Mathematics,
      Vol. LVIII,
      No. 2,
      pp. 283-302,
      2000.
      
        
      
      
      
 
    
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Masaharu Taniguchi,
Yasumasa Nishiura.
        
Stability and characteristic wavelength of planar interfaces in the large diffusion limit of the inhibitor,
      Proceedings of the Royal Society of Edinburgh,
      Vol. 126A,
      pp. 117-145,
      1996.
      
        
      
      
      
 
    
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M. Taniguchi.
        
A remark on singular perturbation methods via the Lyapunov-Schmidt reduction,
      Publications of the Research Institute for Mathematical Sciences Kyoto University,
      Vol. 31,
      No. 6,
      pp. 1001-1010,
      1995.
      
        
      
      
      
 
    
      - 
        
M. Taniguchi.
        
Bifurcation from flat-layered solutions to reaction diffusion systems in two space dimensions,
      Journal of Mathematical Sciences The University of Tokyo,
      Vol. 1,
      No. 2,
      pp. 339-367,
      1994.
      
        
      
      
      
 
    
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Masaharu Taniguchi,
Yasumasa Nishiura.
        
Instability of planar interfaces in reaction-diffusion systems,
      SIAM Journal on Mathematical Analysis,
      Vol. 25,
      No. 1,
      pp. 99-134,
      1994.
      
        
      
      
      
 
    
   
  著書
  
  
  
  
  
  国際会議発表 (査読なし・不明)
  
  
  
  国内会議発表 (査読なし・不明)
  
    
      - 
        
谷口雅治.
        
Allen-Cahn方程式における回転非対称な進行波解,
      研究集会「拡散と移流の数理」,
      Jan. 2011.
      
        
      
      
      
 
    
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谷口雅治.
        
Allen-Cahn方程式における角錐型進行波とその応用,
      関数方程式セミナー,
      Nov. 2008.
      
        
      
      
      
 
    
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谷口雅治.
        
Allen-Cahn方程式における角錐型進行波の一意性と安定性,
      日本数学会2008年度秋期総合分科会,
      Sept. 2008.
      
        
      
      
      
 
    
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谷口雅治.
        
Allen-Cahn方程式における角錐型進行波,
      非線形現象の数値シミュレーションと解析2008,
      Mar. 2008.
      
        
      
      
      
 
    
      - 
        
Masaharu Taniguchi.
        
Stability of pyramidal traveling fronts in the Allen-Cahn equation,
      Workshop on Singularities Arising in Nonlinear Problems 2007,
      Nov. 2007.
      
        
      
      
      
 
    
      - 
        
谷口雅治.
        
Allen-Cahn 方程式における多次元進行波,
      日本数学会年会,
      Mar. 2006.
      
        
      
      
      
 
    
   
  
  
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