Publications of Masaharu Taniguchi

Published Papers

• H. Matano, M. Nara and M. Taniguchi
  "Stability of planar waves in the Allen-Cahn equation"
  Communications in Partial Differential Equations
  Vol.34 (2009) 976-1002
  
  
• M. Taniguchi
  "The uniqueness and asymptotic stability of pyramidal traveling fronts in the Allen-Cahn equations"
  Journal of Differential Equations
  Vol. 246 (2009) 2103-2130
  
  
• M. Nara and M. 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
  
  
• M. Taniguchi
  "Traveling fronts of pyramidal shapes in the Allen-Cahn equations"
  SIAM Journal on Mathematical Analysis
  Vol. 39, No. 1 (2007), pp. 319--344
  
  
• M. Nara and M. 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
  
  
• H. Ninomiya and M. Taniguchi
  "Global stability of traveling curved fronts in the Allen-Cahn equations"
  Discrete and Continuous Dynamical Systems
  Vol. 15, No. 3 (2006), 819--832
  
  
• M. Nara and M. 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
  
  
• H. Ninomiya and M. 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
  
  
• M. 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
  
  
• M. Taniguchi
  " A uniform convergence theorem for singular limit eigenvalue problems"
  Advances in Differential Equations
  Vol. 8, No 1, pages 29--54, January 2003
  
  
• H. Ninomiya and 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, June 2001
  
  
• M. 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
  
  
• M. 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
  
  
• H. Ninomiya and M. 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
  
  
• X. Chen and M. Taniguchi
  "Instability of spherical interfaces in a nonlinear free boundary problem"
  Advances in Differential Equations, Vol. 5, No. 4-6, 747-772, 2000
  
  
• M. 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
  
  
• M. Taniguchi and Y. 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
  
  
• M. 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
  
  
• M. 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
  
  
• M. 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
  
  
• M. Taniguchi and Y. Nishiura
  "Instability of planar interfaces in reaction-diffusion systems"
  SIAM J. Math. Anal. Vol. 25, No.1, pp.99-134, January 1994