Hiroshi Matano

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All published works

Action	Title	Year	Authors
+	Front propagation in hybrid reaction-diffusion epidemic models with spatial heterogeneity	2024	Quentin Griette Hiroshi Matano
+ PDF Chat	Spreading properties of the Fisher--KPP equation when the intrinsic growth rate is maximal in a moving patch of bounded size	2024	Léo Girardin Thomas Giletti Hiroshi Matano
+ PDF Chat	Front propagation through a perforated wall	2024	Henri Berestycki François Hamel Hiroshi Matano
+ PDF Chat	Asymptotic Behavior of Fronts and Pulses of the Bidomain Model	2022	Hiroshi Matano Yoichiro Mori Mitsunori Nara Koya Sakakibara
+	Propagation dynamics of solutions to spatially periodic reaction-diffusion systems with hybrid nonlinearity	2021	Quentin Griette Hiroshi Matano
+	Asymptotic behavior of fronts and pulses of the bidomain model	2021	Hiroshi Matano Yoichiro Mori Mitsunori Nara Koya Sakakibara
+ PDF Chat	Dynamics of Time-Periodic Reaction-Diffusion Equations with Front-Like Initial Data on $\mathbb{R}$	2020	Weiwei Ding Hiroshi Matano
+	Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. Part II: Generic nonlinearities	2019	Hiroshi Matano Peter Poláčik
+	Dynamics of time-periodic reaction-diffusion equations with compact initial support on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="double-struck">R</mml:mi></mml:math>	2019	Weiwei Ding Hiroshi Matano
+ PDF Chat	Spreading speeds for multidimensional reaction–diffusion systems of the prey–predator type	2019	Arnaud Ducrot Thomas Giletti Hiroshi Matano
+ PDF Chat	Existence and uniqueness of propagating terraces	2019	Thomas Giletti Hiroshi Matano
+	Existence and uniqueness of propagating terraces	2019	Thomas Giletti Hiroshi Matano
+	Spreading speeds for multidimensional reaction-diffusion systems of the prey-predator type	2019	Arnaud Ducrot Thomas Giletti Hiroshi Matano
+	Dynamics of time-periodic reaction-diffusion equations with front-like initial data on $\mathbb{R}$	2019	Weiwei Ding Hiroshi Matano
+	Asymptotic behavior of spreading fronts in the anisotropic Allen–Cahn equation on $ R^{n} $	2018	Hiroshi Matano Yoichiro Mori Mitsunori Nara
+	Dynamics of Time-Periodic Reaction-Diffusion Equations with Compact Initial Support on R	2018	Weiwei Ding Hiroshi Matano
+	Generation of fine transition layers and their dynamics for the stochastic Allen--Cahn equation	2018	Matthieu Alfaro D. C. Antonopoulou Georgia Karali Hiroshi Matano
+	Radial terrace solutions and propagation profile of multistable reaction-diffusion equations over $\mathbb R^N$	2017	Yihong Du Hiroshi Matano
+	Non-uniqueness of Solutions of a Semilinear Heat Equation with Singular Initial Data	2017	Марек Фила Hiroshi Matano Eiji Yanagida
+	An entire solution of a bistable parabolic equation on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="double-struck">R</mml:mi></mml:math>with two colliding pulses	2016	Hiroshi Matano Peter Poláčik
+	Stability of Front Solutions of the Bidomain Equation	2016	Yoichiro Mori Hiroshi Matano
+	Dynamics of nonnegative solutions of one-dimensional reaction–diffusion equations with localized initial data. Part I: A general quasiconvergence theorem and its consequences	2016	Hiroshi Matano Peter Poláčik
+	Plant Disease Propagation in a Striped Periodic Medium	2016	Arnaud Ducrot Hiroshi Matano
+	On a Free Boundary Problem for the Curvature Flow with Driving Force	2015	Jong‐Shenq Guo Hiroshi Matano Masahiko Shimojō Chang-Hong Wu
+ PDF Chat	On the Large Time Behavior of the Solutions of a Nonlocal Ordinary Differential Equation with Mass Conservation	2015	Danielle Hilhorst Hiroshi Matano Nguyen Thanh Hoai Nam Hendrik Weber
+ PDF Chat	Front propagation for nonlinear diffusion equations on the hyperbolic space	2015	Hiroshi Matano Fabio Punzo Alberto Tesei
+ PDF Chat	Maximizing the spreading speed of KPP fronts in two-dimensional stratified media	2014	Xing Liang Hiroshi Matano
+	Existence and convergence to a propagating terrace in one-dimensional reaction-diffusion equations	2014	Arnaud Ducrot Thomas Giletti Hiroshi Matano
+	Regularity and Asymptotic Behavior of Nonlinear Stefan Problems	2014	Yihong Du Hiroshi Matano Kelei Wang
+	Recurrent traveling waves in a two-dimensional saw-toothed cylinder and their average speed	2013	Bendong Lou Hiroshi Matano Ken-Ichi Nakamura
+ PDF Chat	On the validity of formal asymptotic expansions in Allen-Cahn equation and FitzHugh-Nagumo system with generic initial data	2012	Matthieu Alfaro Hiroshi Matano
+	Dynamical Structure of Some Nonlinear Degenerate Diffusion Equations	2012	Hiroshi Matano Maria Assunta Pozio
+	Existence and convergence to a propagating terrace in one-dimensional reaction-diffusion equations	2012	Arnaud Ducrot Thomas Giletti Hiroshi Matano
+ PDF Chat	Convergence rate of the Allen-Cahn equation to generalized motion by mean curvature	2011	Matthieu Alfaro Jérôme Droniou Hiroshi Matano
+	Large time behavior of disturbed planar fronts in the Allen–Cahn equation	2011	Hiroshi Matano Mitsunori Nara
+	Threshold and generic type I behaviors for a supercritical nonlinear heat equation	2011	Hiroshi Matano Frank Merle
+	On the validity of formal asymptotic expansions in Allen-Cahn equation and FitzHugh-Nagumo system with generic initial data	2011	Matthieu Alfaro Hiroshi Matano
+ PDF Chat	Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen–Cahn equation	2010	Matthieu Alfaro Harald Garcke Dorothea Hilhorst Hiroshi Matano Reiner Schätzle
+ PDF Chat	A variational problem associated with the minimal speed of travelling waves for spatially periodic reaction-diffusion equations	2010	Xing Liang Xiaotao Lin Hiroshi Matano
+	An application of braid group theory to the finite time dead-core rate	2010	Jong‐Shenq Guo Hiroshi Matano Chin‐Chin Wu
+ PDF Chat	Convergence and sharp thresholds for propagation in nonlinear diffusion problems	2010	Yihong Du Hiroshi Matano
+	Maximizing the spreading speed of KPP fronts in two-dimensional stratified media	2010	Xing Liang Xiaotao Lin Hiroshi Matano
+	A variational problem associated with the minimal speed of travelling waves for spatially periodic reaction-diffusion equations	2010	Xing Liang Xiaotao Lin Hiroshi Matano
+	Stability of Planar Waves in the Allen–Cahn Equation	2009	Hiroshi Matano Mitsunori Nara Masaharu Taniguchi
+	Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen-Cahn equation	2009	Matthieu Alfaro Harald Garcke Danielle Hilhorst Hiroshi Matano Reiner Schätzle
+	Bistable traveling waves around an obstacle	2009	Henri Berestycki Hiroshi Matano François Hamel
+ PDF Chat	The Radius of Vanishing Bubbles in Equivariant Harmonic Map Flow from $D^2$ to $S^2$	2009	Sigurd Angenent J. Hulshof Hiroshi Matano
+	Classification of type I and type II behaviors for a supercritical nonlinear heat equation	2008	Hiroshi Matano Frank Merle
+	The singular limit of the Allen–Cahn equation and the FitzHugh–Nagumo system	2008	Matthieu Alfaro Dorothea Hilhorst Hiroshi Matano
+	The singular limit of the Allen-Cahn equation and the FitzHugh-Nagumo system	2007	Matthieu Alfaro Dorothea Hilhorst Hiroshi Matano
+	Global Dynamics of Blow-up Profiles in One-dimensional Reaction Diffusion Equations	2007	Bernold Fiedler Hiroshi Matano
+	Singular Limit of a Spatially Inhomogeneous Lotka–Volterra Competition–Diffusion System	2007	Dorothea Hilhorst Georgia Karali Hiroshi Matano Kimie Nakashima
+	Blow-up in nonlinear heat equations with supercritical power nonlinearity	2007	Hiroshi Matano
+ PDF Chat	On the necessity of gaps	2006	Hiroshi Matano Paul H. Rabinowitz
+ PDF Chat	Periodic traveling waves in a two-dimensional cylinder with saw-toothed boundary and their homogenization limit	2006	Hiroshi Matano Ken-Ichi Nakamura Bendong Lou
+	Optimal interface width for the Allen-Cahn equation (Dynamics of spatio - temporal patterns for the system of reaction - diffusion equations)	2005	Matthieu Alfaro Danielle Hilhorst Hiroshi Matano
+	Immediate Regularization after Blow-up	2005	Марек Фила Hiroshi Matano Peter Poláčik
+	Supercritical nonlinear heat equation and Blow-up	2005	Hiroshi Matano Franck Merle
+	On Nonexistence of type II blowup for a supercritical nonlinear heat equation	2004	Hiroshi Matano Frank Merle
+	Non-existence of type II blow-up for supercritical nonlinear heat equation	2004	Hiroshi Matano Frank Merle
+	Blow-up in Nonlinear Heat Equations from the Dynamical Systems Point of View	2002	Марек Фила Hiroshi Matano
+	None	2002	Марек Фила Hiroshi Matano Peter Poláčik
+ PDF Chat	Connecting equilibria by blow-up solutions	2000	Марек Фила Hiroshi Matano
+	None	1999	Ken-Ichi Nakamura Hiroshi Matano Danielle Hilhorst Reiner Schätzle
+ PDF Chat	Monotonicity and convergence results in order-preserving systems in the presence of symmetry	1999	Toshiko Ogiwara Hiroshi Matano
+	Stability analysis in order-preserving systems in the presence of symmetry	1999	Toshiko Ogiwara Hiroshi Matano
+	Finite-point extinction and continuity of interfaces in a nonlinear diffusion equation with strong absorption.	1995	Mamoru Mimura Hiroshi Matano X.-Y. Chen
+	Large time behavior of solutions of a dissipative semilnear heat equation	1995	Miguel Escobedo Otared Kavian Hiroshi Matano
+	Zeros of a complex Ginzburg–Landau order parameter with applications to superconductivity	1994	Charles M. Elliott Hiroshi Matano Qi Tang
+	Nonlinear partial differential equations and infinite-dimensional dynamical systems	1994	Hiroshi Matano
+	Singular solutions of a nonlinear elliptic equation and an infinite dimensional dynamical system	1990	Hiroshi Matano
+	Discrete order preserving semigroups and stability for periodic parabolic differential equations	1989	Nicholas D. Alikakos Peter Heß Hiroshi Matano
+	Convergence, asymptotic periodicity, and finite-point blow-up in one-dimensional semilinear heat equations	1989	Xu-Yan Chen Hiroshi Matano
+	Anisotropic singularities of solutions of nonlinear elliptic equations in R2	1989	Xu-Yan Chen Hiroshi Matano Лаурент Верон
+	Asymptotic behavior of solutions of semilinear heat equations on S 1	1988	Hiroshi Matano
+	L ∞ stability of an exponentially decreasing solution of the problem Δu+f(x, u)=0 inR n	1985	Hiroshi Matano
+	L Infinity Stability of an Exponentially Decreasing Solution of the Problem Delta u + f(x,u) = 0 or R(n).	1984	Hiroshi Matano
+	Existence of nontrivial unstable sets for equilibriums of strongly order-preserving systems	1984	Hiroshi Matano
+	Asymptotic Behavior of the Free Boundaries Arising in One Phase Stefan Problems in Multi-Dimensional Spaces	1983	Hiroshi Matano
+	NONINCREASE OF THE LAP-NUMBER OF A SOLUTION FOR A ONE-DIMENSIONAL SEMILINEAR PARABOLIC EQUATION	1982	Hiroshi Matano
+ PDF Chat	Asymptotic Behavior and Stability of Solutions of Semilinear Diffusion Equations	1979	Hiroshi Matano
+ PDF Chat	Convergence of solutions of one-dimensional semilinear parabolic equations	1978	Hiroshi Matano

Common Coauthors

Coauthor	Papers Together
Matthieu Alfaro	9
Thomas Giletti	7
Mitsunori Nara	5
Arnaud Ducrot	5
Марек Фила	5
Dorothea Hilhorst	5
Peter Poláčik	5
Xing Liang	4
Yoichiro Mori	4
Weiwei Ding	4
Yihong Du	3
Ken-Ichi Nakamura	3
Reiner Schätzle	3
Danielle Hilhorst	3
Xiaotao Lin	3
Jong‐Shenq Guo	2
Toshiko Ogiwara	2
François Hamel	2
Georgia Karali	2
Quentin Griette	2
Bendong Lou	2
Harald Garcke	2
Koya Sakakibara	2
Henri Berestycki	2
Frank Merle	2
Frank Merle	2
Mamoru Mimura	1
X.-Y. Chen	1
Peter Heß	1
Xu-Yan Chen	1
Miguel Escobedo	1
Sigurd Angenent	1
J. Hulshof	1
Nicholas D. Alikakos	1
Léo Girardin	1
Jérôme Droniou	1
Nguyen Thanh Hoai Nam	1
Chang-Hong Wu	1
Bernold Fiedler	1
Лаурент Верон	1
Alberto Tesei	1
Kelei Wang	1
Hendrik Weber	1
Eiji Yanagida	1
Masahiko Shimojō	1
D. C. Antonopoulou	1
Kimie Nakashima	1
Paul H. Rabinowitz	1
Maria Assunta Pozio	1
Xu-Yan Chen	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The approach of solutions of nonlinear diffusion equations to travelling front solutions	1977	Paul C. Fife J. B. McLeod	20
+	The zero set of a solution of a parabolic equation.	1988	Sigurd Angenent	19
+ PDF Chat	Convergence of solutions of one-dimensional semilinear parabolic equations	1978	Hiroshi Matano	17
+	Multidimensional nonlinear diffusion arising in population genetics	1978	D. G. Aronson Hans F. Weinberger	15
+	The singular limit of the Allen–Cahn equation and the FitzHugh–Nagumo system	2008	Matthieu Alfaro Dorothea Hilhorst Hiroshi Matano	12
+ PDF Chat	Convergence and sharp thresholds for propagation in nonlinear diffusion problems	2010	Yihong Du Hiroshi Matano	10
+	Convergence, asymptotic periodicity, and finite-point blow-up in one-dimensional semilinear heat equations	1989	Xu-Yan Chen Hiroshi Matano	10
+	Existence and convergence to a propagating terrace in one-dimensional reaction-diffusion equations	2014	Arnaud Ducrot Thomas Giletti Hiroshi Matano	10
+	On spreading speeds and traveling waves for growth and migration models in a periodic habitat	2002	Hans F. Weinberger	10
+	Asymptotic periodicity of positive solutions of reaction diffusion equations on a ball.	1996	Xu Yan Chen Peter Poláčik	9
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	8
+	Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics	1991	Lia Bronsard Robert V. Kohn	8
+	Asymptotically self‐similar blow‐up of semilinear heat equations	1985	Yoshikazu Giga Robert V. Kohn	8
+	On the asymptotic behavior of solutions of certain quasilinear parabolic equations	1984	Wei‐Ming Ni Paul Sacks John Tavantzis	8
+	Traveling periodic waves in heterogeneous environments	1986	Nanako Shigesada Kohkichi Kawasaki Ei Teramoto	8
+	Partial Differential Equations of Parabolic Type	1964	Avner Friedman	8
+	Quasilinear Dirichlet problems driven by positive sources	1973	D. D. Joseph T. S. Lundgren	8
+	Blow-up of positive solutions of semilinear heat equations	1985	Avner Friedman	8
+	Sharp transition between extinction and propagation of reaction	2005	Andrej Zlatoš	8
+	Linear and Quasilinear Equations of Parabolic Type	1969	O. A. Ladyzhenskai︠a︡	7
+	Complete blow-up after Tmax for the solution of a semilinear heat equation	1987	Pierre Baras Liron Cohen	7
+	Continuation of blowup solutions of nonlinear heat equations in several space dimensions	1997	Victor A. Galaktionov Juan Luís Vázquez	7
+	Generation and propagation of interfaces for reaction-diffusion equations	1992	Xinfu Chen	7
+	Threshold Solutions and Sharp Transitions for Nonautonomous Parabolic Equations on $${\mathbb{R}^N}$$	2010	Peter Poláčik	6
+ PDF Chat	Monotonicity and convergence results in order-preserving systems in the presence of symmetry	1999	Toshiko Ogiwara Hiroshi Matano	6
+	Planar Propagating Terraces and the Asymptotic One-dimensional Symmetry of Solutions of Semilinear Parabolic Equations	2017	Peter Poláčik	6
+	Explosion de solutions d'équations paraboliques semilinéaires supercritiques	1994	Miguel A. Herrero Juan J. L. Velázquez	6
+ PDF Chat	Asymptotic Behavior and Stability of Solutions of Semilinear Diffusion Equations	1979	Hiroshi Matano	6
+ PDF Chat	Geometric Theory of Semilinear Parabolic Equations	1981	Daniel Henry	6
+ PDF Chat	The Effect of the Schwarz Rearrangement on the Periodic Principal Eigenvalue of a Nonsymmetric Operator	2010	Grégoire Nadin	6
+	Locally uniform convergence to an equilibrium for nonlinear parabolic equations on $R^N$	2015	Peter Poláčik Yihong Du	6
+	Existence of nontrivial unstable sets for equilibriums of strongly order-preserving systems	1984	Hiroshi Matano	6
+	Large time behavior of disturbed planar fronts in the Allen–Cahn equation	2011	Hiroshi Matano Mitsunori Nara	6
+ PDF Chat	Structure of periodic solutions and asymptotic behavior for time-periodic reaction-diffusion equations on ${\bf R}$	2000	Eduard Feireisl Peter Poláčik	6
+	Generalized travelling waves for reaction-diffusion equations	2007	Henri Berestycki François Hamel	6
+	Nondegeneracy of blowup for semilinear heat equations	1989	Yoshikazu Giga Robert V. Kohn	6
+	Dynamics of nonnegative solutions of one-dimensional reaction–diffusion equations with localized initial data. Part I: A general quasiconvergence theorem and its consequences	2016	Hiroshi Matano Peter Poláčik	6
+ PDF Chat	Uniqueness of the $\omega $-limit point of solutions of a semilinear heat equation on the circle	1986	Xu-Yan Chen	5
+ PDF Chat	Generalized Transition Waves and Their Properties	2012	Henri Berestycki François Hamel	5
+	Spreading speeds and traveling waves for periodic evolution systems	2006	Xing Liang Yingfei Yi Xiao‐Qiang Zhao	5
+	Complete Blow-Up for a Semilinear Diffusion Equation with a Sufficiently Large Initial Condition	1988	Andrew Lacey D.E. Tzanetis	5
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	5
+	Maximum Principles in Differential Equations	1984	Murray H. Protter Hans F. Weinberger	5
+ PDF Chat	Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations	1997	Xinfu Chen	5
+	Threshold Behavior and Non-quasiconvergent Solutions with Localized Initial Data for Bistable Reaction–Diffusion Equations	2014	Peter Poláčik	5
+	Partial differential equations of parabolic type	1965	John S. Maybee	5
+	None	1999	Ken-Ichi Nakamura Hiroshi Matano Danielle Hilhorst Reiner Schätzle	5
+	A New Approach to Front Propagation Problems: Theory and Applications	1998	Guy Barles Panagiotis E. Souganidis	5
+	Optimal estimates for blowup rate and behavior for nonlinear heat equations	1998	Frank Merle Hatem Zaag	5
+ PDF Chat	Local existence and uniqueness of solutions of the Stefan Problem with surface tension and kinetic undercooling	1992	Xinfu Chen Fernando Reitich	5