Publications of Masaharu Taniguchi

Masaharu Taniguchi
"Traveling front solutions in reactiondiffusion equations" (book)
submitted

Masaharu Taniguchi
"Convex compact sets in $\mathbb{R}^{N1}$ give traveling fronts of
cooperationdiffusion systems in $\mathbb{R}^{N}$"
Journal of Differential Equations
260 (2016), pp. 43014338

Masaharu Taniguchi
"An (N1)dimensional convex compact set gives an Ndimensional traveling front in the AllenCahn equation"
SIAM Journal on Mathematical Analysis
Vol. 47, No. 1 (2015), pp. 455476

Yong Jung Kim, WeiMing Ni and Masaharu Taniguchi
"Nonexistence of localized travelling waves with nonzero speed
in single reactiondiffusion equations''
Discrete and Continuous Dynamical Systems. Series A
Volume 33, Number 8, August 2013, pp. 37073718

WeiMing Ni and Masaharu Taniguchi
"Traveling fronts of pyramidal shapes
in competitiondiffusion systems"
Networks and Heterogeneous Media
Volume 8, Number 1, March 2013, pp. 379395

Masaharu Taniguchi
"Multidimensional traveling fronts in bistable reactiondiffusion equations''
Discrete and Continuous Dynamical Systems. Series A
Volume 32, Number 3, March 2012, pp. 10111046

Yu Kurokawa and Masaharu Taniguchi
"Multidimensional pyramidal travelling fronts in the AllenCahn equations"
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
141 (2011) 10311054

Masaharu Taniguchi
"Traveling fronts in perturbed multistable reactiondiffusion equations''
Dynamical Systems and Differential Equations and Applications,
Volume II,
13681377, (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 AllenCahn equation"
Communications in Partial Differential Equations
Vol.34 (2009) 9761002

Masaharu Taniguchi
"The uniqueness and asymptotic stability of pyramidal traveling
fronts in the AllenCahn equations"
Journal of Differential Equations
Vol. 246 (2009) 21032130

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) 6176

Masaharu Taniguchi
"Traveling fronts of pyramidal shapes in the AllenCahn equations"
SIAM Journal on Mathematical Analysis
Vol. 39, No. 1 (2007), pp. 319344

Mitsunori Nara and Masaharu Taniguchi
"Convergence to Vshaped fronts in curvature flows for spatially
nondecaying initial perturbations"
Discrete and Continuous Dynamical Systems. Series A
Vol. 16, No. 1, pp 137156, September 2006

Hirokazu Ninomiya and Masaharu Taniguchi
"Global stability of traveling curved fronts in the
AllenCahn equations"
Discrete and Continuous Dynamical Systems. Series A
Vol. 15, No. 3 (2006), 819832

Mitsunori Nara and Masaharu Taniguchi
"Stability of a traveling wave in curvature flows
for spatially nondecaying initial perturbations"
Discrete and Continuous Dynamical Systems. Series A
Vol. 14, No. 1, pp 203220, January 2006

Hirokazu Ninomiya and Masaharu Taniguchi
"Existence and global stability of traveling curved fronts in the
AllenCahn equations"
Journal of Differential Equations
Vol. 213, No. 1, pp 204233, 2005

Masaharu Taniguchi
"Instability of planar traveling fronts in bistable reactiondiffusion systems"
Discrete and Continuous Dynamical Systems. Series B
Vol. 3, No. 1, pp. 2144, February 2003

Masaharu Taniguchi
"A uniform convergence theorem for singular limit eigenvalue problems"
Advances in Differential Equations
Vol. 8, No 1, pages 2954, 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. 429450, 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, 283302, 2000

Masaharu Taniguchi
"Modified SLEP method by uniform convergence theorems for linearized
eigenvalue problems"
Free Boundary Problems: Theory and Applications I,
pp.369384, 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.206221, 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. 46, 747772, 2000

Masaharu Taniguchi
"Multiple existence and classification of equilibrium balls
in a free boundary problem"
Bifurcation Theory and Its Numerical Analysis (Xi'an, 1998)
173182, Springer, Singapore, 1999

Masaharu Taniguchi
"An improvement in construction of internal transition layers"
ChinaJapan Symposium on ReactionDiffusion Equations and
Their Applications and Computational Aspects (Shanghai, 1994),
151158, 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, 117145, 1996

Masaharu Taniguchi
"A remark on singular perturbation methods via the
LyapunovSchmidt reduction"
Publ. Res. Inst. Math. Sci., Kyoto Univ.
Vol 31, No. 6, pp.10011010, December 1995

Masaharu Taniguchi
"Bifurcation from flatlayered solutions to reaction diffusion
systems in two space dimensions"
J. Math. Sci. Univ. Tokyo
Vol. 1, No. 2, 1994, pp.339367

Masaharu Taniguchi and Yasumasa Nishiura
"Instability of planar interfaces in reactiondiffusion systems"
SIAM Journal on Mathematical Analysis
Vol. 25, No.1, pp.99134, January 1994