Publications of Masaharu Taniguchi
Published Papers
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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
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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
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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
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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
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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
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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
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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
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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
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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
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M. Taniguchi
"
A uniform convergence theorem for singular limit eigenvalue problems"
Advances in Differential Equations
Vol. 8, No 1, pages 29--54, January 2003
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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