Publications of Masaharu Taniguchi

Published Papers

• Wei-Ming Ni and Masaharu Taniguchi
  "Traveling fronts of pyramidal shapes in competition-diffusion equations"
  submitted
  
  
• Yong Jung Kim, Wei-Ming Ni and Masaharu Taniguchi
  "Non-existence of localized travelling waves with non-zero speed in single reaction-diffusion equations''
  submitted
  
  
• Masaharu Taniguchi
  "Multi-dimensional traveling fronts in bistable reaction-diffusion equations''
  Discrete and Continuous Dynamical Systems -- Ser A
  Volume 32, Number 3, March 2012, pp. 1011--1046
  
  
• Yu Kurokawa and Masaharu Taniguchi
  "Multi-dimensional pyramidal travelling fronts in the Allen-Cahn equations''
  Proceedings of the Royal Society of Edinburgh, 141A (2011) 1031--1054
  
  
• Masaharu Taniguchi
  "Traveling fronts in perturbed multistable reaction-diffusion equations''
  Discrete and Continuous Dynamical Systems - Supplement 2011
  (The proceedings for the 8th AIMS International Conference on Dynamical Systems, Differential Equations and Applications)
  1368--1377
  
  
• Hiroshi Matano, Mitsunori Nara and Masaharu Taniguchi
  "Stability of planar waves in the Allen-Cahn equation"
  Communications in Partial Differential Equations
  Vol.34 (2009) 976--1002
  
  
• Masaharu Taniguchi
  "The uniqueness and asymptotic stability of pyramidal traveling fronts in the Allen-Cahn equations"
  Journal of Differential Equations
  Vol. 246 (2009) 2103--2130
  
  
• Mitsunori Nara and 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 (2007) 61--76
  
  
• Masaharu Taniguchi
  "Traveling fronts of pyramidal shapes in the Allen-Cahn equations"
  SIAM Journal on Mathematical Analysis
  Vol. 39, No. 1 (2007), pp. 319--344
  
  
• Mitsunori Nara and 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 137-156, September 2006
  
  
• Hirokazu Ninomiya and Masaharu Taniguchi
  "Global stability of traveling curved fronts in the Allen-Cahn equations"
  Discrete and Continuous Dynamical Systems
  Vol. 15, No. 3 (2006), 819--832
  
  
• Mitsunori Nara and 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, January 2006
  
  
• Hirokazu Ninomiya and 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
  
  
• 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, February 2003
  
  
• Masaharu Taniguchi
  " A uniform convergence theorem for singular limit eigenvalue problems"
  Advances in Differential Equations
  Vol. 8, No 1, pages 29--54, January 2003
  
  
• Hirokazu Ninomiya and Masaharu 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, June 2001
  
  
• Masaharu Taniguchi
  "Multiple existence and linear stability of equilibrium balls in a nonlinear free boundary problem"
  Quarterly of Applied Mathematics, LVIII, No. 2, 283--302, 2000
  
  
• Masaharu Taniguchi
  "Modified SLEP method by uniform convergence theorems for linearized eigenvalue problems"
  Free Boundary Problems: Theory and Applications I, Mathematical Sciences and Applications,
  Gakuto International Series, Vol.13, pp.369--384, 2000
  
  
• Hirokazu Ninomiya and Masaharu Taniguchi
  "Traveling curved fronts of a mean curvature flow with constant driving force "
  Free Boundary Problems: Theory and Applications I, Mathematical Sciences and Applications,
  Gakuto International Series, Vol.13, pp.206--221, 2000
  
  
• Xinfu Chen and Masaharu Taniguchi
  "Instability of spherical interfaces in a nonlinear free boundary problem"
  Advances in Differential Equations, Vol. 5, No. 4-6, 747--772, 2000
  
  
• Masaharu Taniguchi
  "Multiple existence and classification of equilibrium balls in a free boundary problem"
  Proceedings for the 2nd International Conference on Bifurcation Theory and its Numerical Analysis,
  Xi''an China, June 29-July 3, 1998, 173--182
  
  
• Masaharu Taniguchi and Yasumasa Nishiura
  "Stability and characteristic wavelength of planar interfaces in the large diffusion limit of the inhibitor"
  Proc. Roy. Soc. Edinburgh, Vol. 126A, 117--145, 1996
  
  
• Masaharu Taniguchi
  "A remark on singular perturbation methods via the Lyapunov-Schmidt reduction"
  Publ. Res. Inst. Math. Sci., Kyoto Univ., Vol 31, No. 6, pp.1001--1010, December 1995
  
  
• Masaharu Taniguchi
  "An improvement in construction of internal transition layers"
  Proceedings of the China-Japan Symposium on Reaction-Diffusion Equations and Their Applications and Computational Aspects,
  Fudan University, Shanghai, P.R.China, 1994, pp. 151--158
  
  
• Masaharu Taniguchi
  "Bifurcation from flat-layered solutions to reaction diffusion systems in two space dimensions"
  J. Math. Sci. Univ. Tokyo, Vol. 1, No. 2, 1994, pp.339--367
  
  
• Masaharu Taniguchi and Yasumasa Nishiura
  "Instability of planar interfaces in reaction-diffusion systems"
  SIAM J. Math. Anal. Vol. 25, No.1, pp.99--134, January 1994