Publications of Masaharu Taniguchi

• Masaharu Taniguchi
  "Polyhedral entire solutions in reaction-diffusion equations"
  Journal of Differential Equations, Volume 429, 5 June 2025, Pages 529-565
  open access
  
  
• Hirokazu Ninomiya and Masaharu Taniguchi
  "Traveling front solutions of dimension $n$ generate entire solutions of dimension $(n-1)$ in reaction-diffusion equations as the speeds go to infinity"
  Archive for Rational Mechanics and Analysis, Volume 249, article number 13, (2025)
  open access
  
  
• Masaharu Taniguchi
  "Entire solutions with and without radial symmetry in balanced bistable reaction-diffusion equations"
  Mathematische Annalen, 390 (3) (2024), 3931-3967
  open access
  
  
• Wah Wah and Masaharu Taniguchi
  "Traveling front solutions for perturbed raction-diffusion equations"
  Mathematical Journal of Okayama University, 65 (2023), 125--143
  
  
• Masaharu Taniguchi
  "Traveling Front Solutions in Reaction-Diffusion Equations"
  MSJ Memoirs, Volume 39, 2021, Mathematical Society of Japan
  ISBN: 978-4-86497-097-6
  
  
• Masaharu Taniguchi
  "Traveling fronts in balanced bistable reaction-diffusion equations"
  Advanced Studies in Pure Mathematics
  85, December 2020, The Role of Metrics in the Theory of Partial Differential Equations, pp. 417--428
  
  
• Masaharu Taniguchi
  "Axisymmetric traveling fronts in balanced bistable reaction-diffusion equations"
  Discrete and Continuous Dynamical Systems. Series A
  40(6), (2020) 3981-3995
  
  
• Amy Poh Ai Ling and Masaharu Taniguchi
  "Existence and stability of stationary solutions to the Allen--Cahn equation discretized in space and time"
  Mathemtical Journal of Okayama University
  Vol. 62 (2020), 197--210
  
  
• Masaharu Taniguchi
  "Axially asymmetric traveling fronts in balanced bistable reaction-diffusion equations"
  Annales de l'Institut Henri Poincare - Analyse non lineaire
  Volume 36, Issue 7, November–December 2019, Pages 1791--1816
  
  
• Masaharu Taniguchi
  "Convex compact sets in $\mathbb{R}^{N-1}$ give traveling fronts of cooperation-diffusion systems in $\mathbb{R}^{N}$"
  Journal of Differential Equations
  260 (2016), pp. 4301--4338
  
  
• Masaharu Taniguchi
  "An (N-1)-dimensional convex compact set gives an N-dimensional traveling front in the Allen--Cahn equation"
  SIAM Journal on Mathematical Analysis
  Vol. 47, No. 1 (2015), pp. 455--476
  
  
• Yong Jung Kim, Wei-Ming Ni and Masaharu Taniguchi
  "Non-existence of localized travelling waves with non-zero speed in single reaction-diffusion equations''
  Discrete and Continuous Dynamical Systems. Series A
  Volume 33, Number 8, August 2013, pp. 3707--3718
  
  
• Wei-Ming Ni and Masaharu Taniguchi
  "Traveling fronts of pyramidal shapes in competition-diffusion systems"
  Networks and Heterogeneous Media
  Volume 8, Number 1, March 2013, pp. 379--395
  
  
• Masaharu Taniguchi
  "Multi-dimensional traveling fronts in bistable reaction-diffusion equations''
  Discrete and Continuous Dynamical Systems. Series 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. Section A. Mathematics
  141 (2011) 1031--1054
  
  
• Masaharu Taniguchi
  "Traveling fronts in perturbed multistable reaction-diffusion equations''
  Dynamical Systems and Differential Equations and Applications, Volume II,
  1368--1377, (2011), Am. Inst. Math. Sci. (AIMS) , USA
  (Discrete and Continuous Dynamical Systems -- Supplement 2011)
  
  
• 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. Series A
  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. Series A
  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. Series A
  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. Series 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, pp.369--384, 2000
  GAKUTO International Series, Mathematical Sciences and Applications, Vol.13,
  Gakkotosho, Tokyo, Japan
  
  
• Hirokazu Ninomiya and Masaharu Taniguchi
  "Traveling curved fronts of a mean curvature flow with constant driving force"
  Free Boundary Problems: Theory and Applications I, pp.206--221, 2000
  GAKUTO International Series, Mathematical Sciences and Applications, Vol.13,
  Gakkotosho, Tokyo, Japan
  
  
• 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"
  Bifurcation Theory and Its Numerical Analysis (Xi'an, 1998)
  173--182, Springer, Singapore, 1999
  
  
• Masaharu Taniguchi
  "An improvement in construction of internal transition layers"
  China-Japan Symposium on Reaction-Diffusion Equations and
  Their Applications and Computational Aspects (Shanghai, 1994),
  151--158, World Sci. Publ., River Edge, NJ, 1997
  
  
• Masaharu Taniguchi and Yasumasa Nishiura
  "Stability and characteristic wavelength of planar interfaces in the large diffusion limit of the inhibitor"
  Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
  Vol. 126, 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
  "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 Journal on Mathematical Analysis
  Vol. 25, No.1, pp.99--134, January 1994