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## Matano, Hiroshi

Compute Distance To:
 Author ID: matano.hiroshi Published as: Matano, Hiroshi; Matano, H. External Links: MGP · Wikidata
 Documents Indexed: 80 Publications since 1978, including 1 Book Biographic References: 4 Publications
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#### Co-Authors

 16 single-authored 9 Hilhorst, Danielle 6 Fila, Marek 6 Poláčik, Peter 4 Alfaro, Matthieu 4 Chen, Xu-Yan 4 Nakamura, Ken-Ichi 3 Ducrot, Arnaud 3 Giletti, Thomas 3 Merle, Frank 3 Mimura, Masayasu 3 Mori, Yoichiro 3 Nara, Mitsunori 3 Ogiwara, Toshiko 2 Ding, Weiwei 2 Du, Yihong 2 Guo, Jong-Shenq 2 Liang, Xing 2 Lou, Bendong 2 Nguyen, Thanh Nam 2 Pozio, Maria Assunta 2 Schatzle, Reiner 2 Véron, Laurent 2 Weber, Hendrik 2 Yamaguti, Masaya 1 Alikakos, Nicholas D. 1 Angenent, Sigurd Bernardus 1 Bardos, Claude Williams 1 Bates, Peter W. 1 Berestycki, Henri 1 Demongeot, Jacques 1 Droniou, Jérôme 1 Elliott, Charles M. 1 Escobedo Martínez, Miguel 1 Fiedler, Bernold 1 Garcke, Harald 1 Hamel, François 1 Hulshof, Joost 1 Karali, Georgia D. 1 Kavian, Otared 1 Lin, Xiaotao 1 Morita, Yoshihisa 1 Punzo, Fabio 1 Rabinowitz, Paul Henry 1 Shimojō, Masahiko 1 Smoller, Joel Alan 1 Tang, Qi 1 Taniguchi, Masaharu 1 Tesei, Alberto 1 Ushiki, Shigehiro 1 Vassena, Nicola 1 Wang, Kelei 1 Wu, Changhong 1 Wu, Chin-Chin
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#### Serials

 6 Discrete and Continuous Dynamical Systems 5 Journal of Differential Equations 5 Communications in Partial Differential Equations 4 Journal of Functional Analysis 4 SIAM Journal on Mathematical Analysis 4 Journal of Dynamics and Differential Equations 3 Communications on Pure and Applied Mathematics 3 Journal of the Faculty of Science. Section I A 3 Journal of the European Mathematical Society (JEMS) 2 Archive for Rational Mechanics and Analysis 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Transactions of the American Mathematical Society 2 Sūgaku 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Evolution Equations 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Journal of Mathematics of Kyoto University 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Japan Journal of Applied Mathematics 1 European Journal of Applied Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Calculus of Variations and Partial Differential Equations 1 Communications in Contemporary Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Translations. Series 2. American Mathematical Society 1 Networks and Heterogeneous Media
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#### Fields

 75 Partial differential equations (35-XX) 12 Biology and other natural sciences (92-XX) 10 Dynamical systems and ergodic theory (37-XX) 7 Differential geometry (53-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

69 Publications have been cited 1,577 times in 1,107 Documents Cited by Year
Asymptotic behavior and stability of solutions of semilinear diffusion equations. Zbl 0445.35063
Matano, Hiroshi
1979
Nonincrease of the lap-number of a solution for a one-dimensional semilinear parabolic equation. Zbl 0496.35011
Matano, Hiroshi
1982
Convergence of solutions of one-dimensional semilinear parabolic equations. Zbl 0387.35008
Matano, Hiroshi
1978
Convergence, asymptotic periodicity, and finite-point blow-up in one- dimensional semilinear heat equations. Zbl 0692.35013
Chen, Xu-Yan; Matano, Hiroshi
1989
Pattern formation in competition-diffusion systems in nonconvex domains. Zbl 0548.35063
Matano, Hiroshi; Mimura, Masayasu
1983
On nonexistence of type II blowup for a supercritical nonlinear heat equation. Zbl 1112.35098
Matano, Hiroshi; Merle, Frank
2004
Convergence and sharp thresholds for propagation in nonlinear diffusion problems. Zbl 1207.35061
Du, Yihong; Matano, Hiroshi
2010
Existence of nontrivial unstable sets for equilibriums of strongly order- preserving systems. Zbl 0545.35042
Matano, Hiroshi
1984
Classification of type I and type II behaviors for a supercritical nonlinear heat equation. Zbl 1178.35084
Matano, Hiroshi; Merle, Frank
2009
Bistable traveling waves around an obstacle. Zbl 1172.35031
Berestycki, Henri; Matano, Hiroshi; Hamel, François
2009
Existence and convergence to a propagating terrace in one-dimensional reaction-diffusion equations. Zbl 1302.35209
Ducrot, Arnaud; Giletti, Thomas; Matano, Hiroshi
2014
Large time behavior of solutions of a dissipative semilinear heat equation. Zbl 0838.35015
Escobedo, Miguel; Kavian, Otared; Matano, Hiroshi
1995
Stability of planar waves in the Allen-Cahn equation. Zbl 1191.35053
Matano, Hiroshi; Nara, Mitsunori; Taniguchi, Masaharu
2009
Threshold and generic type I behaviors for a supercritical nonlinear heat equation. Zbl 1223.35088
Matano, Hiroshi; Merle, Frank
2011
Monotonicity and convergence results in order-preserving systems in the presence of symmetry. Zbl 0958.37061
Ogiwara, Toshiko; Matano, Hiroshi
1999
Discrete order preserving semigroups and stability for periodic parabolic differential equations. Zbl 0698.35075
Alikakos, Nicholas D.; Hess, Peter; Matano, Hiroshi
1989
A variational problem associated with the minimal speed of travelling waves for spatially periodic reaction-diffusion equations. Zbl 1206.35061
Liang, Xing; Lin, Xiaotao; Matano, Hiroshi
2010
Euler’s finite difference scheme and chaos. Zbl 0434.39003
Yamaguti, Masaya; Matano, Hiroshi
1979
Regularity and asymptotic behavior of nonlinear Stefan problems. Zbl 1293.35331
Du, Yihong; Matano, Hiroshi; Wang, Kelei
2014
The singular limit of the Allen-Cahn equation and the FitzHugh-Nagumo system. Zbl 1154.35006
Alfaro, Matthieu; Hilhorst, Danielle; Matano, Hiroshi
2008
Anisotropic singularities of solutions of nonlinear elliptic equations in $${\mathbb{R}}^ 2$$. Zbl 0687.35020
Chen, Xu-Yan; Matano, Hiroshi; Véron, Laurent
1989
Finite-point extinction and continuity of interfaces in a nonlinear diffusion equation with strong absorption. Zbl 0814.35045
Chen, Xu-Yan; Matano, Hiroshi; Mimura, Masayasu
1995
Spreading speeds for multidimensional reaction-diffusion systems of the prey – predator type. Zbl 1418.35230
Ducrot, Arnaud; Giletti, Thomas; Matano, Hiroshi
2019
Immediate regularization after blow-up. Zbl 1102.35053
Fila, Marek; Matano, Hiroshi; Polácik, Peter
2005
Large time behavior of disturbed planar fronts in the Allen-Cahn equation. Zbl 1252.35050
Matano, Hiroshi; Nara, Mitsunori
2011
Strongly order-preserving local semi-dynamical systems - theory and applications. Zbl 0634.34031
Matano, H.
1986
The global attractor of semilinear parabolic equations on $$S^1$$. Zbl 0949.35022
Matano, Hiroshi; Nakamura, Ken-Ichi
1997
Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. Part I: A general quasiconvergence theorem and its consequences. Zbl 1345.35052
Matano, H.; Poláčik, P.
2016
Blow-up in nonlinear heat equations from the dynamical systems point of view. Zbl 1004.35060
Fila, Marek; Matano, Hiroshi
2002
Strong comparison principle in nonlinear parabolic equations. Zbl 0664.35048
Matano, H.
1987
Singular limit of a reaction-diffusion equation with a spatially inhomogeneous reaction term. Zbl 0936.35091
Nakamura, K.-I.; Matano, H.; Hilhorst, D.; Schätzle, R.
1999
Stability analysis in order-preserving systems in the presence of symmetry. Zbl 0931.35080
Ogiwara, Toshiko; Matano, Hiroshi
1999
Blow-up in nonlinear heat equations with supercritical power nonlinearity. Zbl 1200.35168
Matano, Hiroshi
2007
Zeros of a complex Ginzburg-Landau order parameter with applications to superconductivity. Zbl 0817.35112
Elliott, C. M.; Matano, H.; Qi, Tang
1994
Periodic traveling waves in a two-dimensional cylinder with saw-toothed boundary and their homogenization limit. Zbl 1114.35012
Matano, Hiroshi; Nakamura, Ken-Ichi; Lou, Bendong
2006
The radius of vanishing bubbles in equivariant harmonic map flow from $$D^2$$ to $$S^2$$. Zbl 1223.35198
Angenent, S. B.; Hulshof, J.; Matano, H.
2009
An application of braid group theory to the finite time dead-core rate. Zbl 1239.35085
Guo, Jong-Shenq; Matano, Hiroshi; Wu, Chin-Chin
2010
An entire solution of a bistable parabolic equation on $$\mathbb{R}$$ with two colliding pulses. Zbl 1362.35152
Matano, H.; Poláčik, P.
2017
Front propagation for nonlinear diffusion equations on the hyperbolic space. Zbl 1322.35065
Matano, Hiroshi; Punzo, Fabio; Tesei, Alberto
2015
On a free boundary problem for the curvature flow with driving force. Zbl 1336.35371
Guo, Jong-Shenq; Matano, Hiroshi; Shimojo, Masahiko; Wu, Chang-Hong
2016
Global existence and uniqueness of a three-dimensional model of cellular electrophysiology. Zbl 1215.35159
Matano, Hiroshi; Mori, Yoichiro
2011
On the necessity of gaps. Zbl 1245.35043
Matano, Hiroshi; Rabinowitz, Paul H.
2006
Singular limit of a spatially inhomogeneous Lotka-Volterra competition-diffusion system. Zbl 1133.35057
Hilhorst, D.; Karali, G.; Matano, H.; Nakashima, K.
2007
Stability of front solutions of the bidomain equation. Zbl 1354.35171
Mori, Yoichiro; Matano, Hiroshi
2016
$$L^{\infty}$$ stability of an exponentially decreasing solution of the problem $$\Delta u+f(x,u)=0$$ in $$R^ n$$. Zbl 0594.35053
Matano, Hiroshi
1985
Existence of $$L^1$$-connections between equilibria of a semilinear parabolic equation. Zbl 1001.35054
Fila, Marek; Matano, Hiroshi; Poláčik, Peter
2002
Maximizing the spreading speed of KPP fronts in two-dimensional stratified media. Zbl 1319.35089
Liang, Xing; Matano, Hiroshi
2014
Existence and uniqueness of propagating terraces. Zbl 1445.35209
Giletti, Thomas; Matano, Hiroshi
2020
On the large time behavior of the solutions of a nonlocal ordinary differential equation with mass conservation. Zbl 1350.35032
Hilhorst, Danielle; Matano, Hiroshi; Nguyen, Thanh Nam; Weber, Hendrik
2016
Asymptotic behavior of the free boundaries arising in one phase Stefan problems in multi-dimensional spaces. Zbl 0564.35100
Matano, Hiroshi
1983
Connecting equilibria by blow-up solutions. Zbl 1157.35404
Fila, Marek; Matano, Hiroshi
2000
Recurrent traveling waves in a two-dimensional saw-toothed cylinder and their average speed. Zbl 1320.35140
Lou, Bendong; Matano, Hiroshi; Nakamura, Ken-Ichi
2013
Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen-Cahn equation. Zbl 1204.35026
Alfaro, Matthieu; Garcke, Harald; Hilhorst, Danielle; Matano, Hiroshi; Schätzle, Reiner
2010
Discrete population models and chaos. Zbl 0473.92018
Ushiki, Shigehiro; Yamaguti, Masaya; Matano, Hiroshi
1980
Dynamical structure of some nonlinear degenerate diffusion equations. Zbl 1252.35166
Matano, Hiroshi; Pozio, M. Assunta
2012
Immediate regularization after blow-up. Zbl 1108.35092
Fila, M.; Matano, H.; Poláčik, P.
2005
Singular solutions of a nonlinear elliptic equation and an infinite dimensional dynamical system. Zbl 0785.35031
Matano, Hiroshi
1990
Singularités anisotropes d’équations elliptiques semi-linéaires dans le plan. (Anisotropic singularities of some semilinear elliptic equations in the plane). Zbl 0637.35033
Chen, Xuyan; Matano, Hiroshi; Véron, Laurent
1986
Asymptotic behavior of spreading fronts in the anisotropic Allen-Cahn equation on $$\mathbb{R}^n$$. Zbl 1411.35161
Matano, Hiroshi; Mori, Yoichiro; Nara, Mitsunori
2019
Asymptotic behavior of the free boundaries arising in one phase Stefan problems in multi-dimensional spaces. Zbl 0569.35076
Matano, Hiroshi
1983
Dynamics of time-periodic reaction-diffusion equations with compact initial support on $$\mathbb{R}$$. Zbl 1439.35266
Ding, Weiwei; Matano, Hiroshi
2019
Asymptotic behavior of solutions of semilinear heat equations on $$S^ 1$$. Zbl 0671.35039
Matano, Hiroshi
1988
On the validity of formal asymptotic expansions in Allen-Cahn equation and FitzHugh-Nagumo system with generic initial data. Zbl 1250.35124
Alfaro, Matthieu; Matano, Hiroshi
2012
Convergence rate of the Allen-Cahn equation to generalized motion by mean curvature. Zbl 1262.35039
Alfaro, Matthieu; Droniou, Jérôme; Matano, Hiroshi
2012
Correction to: “Existence of nontrivial unstable sets for equilibriums of strongly order-preserving systems”. Zbl 0656.35009
Matano, Hiroshi
1987
Dynamics of time-periodic reaction-diffusion equations with front-like initial data on $$\mathbb{R}$$. Zbl 1447.35171
Ding, Weiwei; Matano, Hiroshi
2020
Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. II: Generic nonlinearities. Zbl 1439.35200
Matano, H.; Poláčik, P.
2020
An infinite dimensional unstable manifold in a nonlinear degenerate diffusion equation. Zbl 0792.35104
Matano, Hiroshi; Pozio, Maria Assunta
1991
Global dynamics of blow-up profiles in one-dimensional reaction diffusion equations. Zbl 1132.35048
Fiedler, Bernold; Matano, Hiroshi
2007
Existence and uniqueness of propagating terraces. Zbl 1445.35209
Giletti, Thomas; Matano, Hiroshi
2020
Dynamics of time-periodic reaction-diffusion equations with front-like initial data on $$\mathbb{R}$$. Zbl 1447.35171
Ding, Weiwei; Matano, Hiroshi
2020
Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. II: Generic nonlinearities. Zbl 1439.35200
Matano, H.; Poláčik, P.
2020
Spreading speeds for multidimensional reaction-diffusion systems of the prey – predator type. Zbl 1418.35230
Ducrot, Arnaud; Giletti, Thomas; Matano, Hiroshi
2019
Asymptotic behavior of spreading fronts in the anisotropic Allen-Cahn equation on $$\mathbb{R}^n$$. Zbl 1411.35161
Matano, Hiroshi; Mori, Yoichiro; Nara, Mitsunori
2019
Dynamics of time-periodic reaction-diffusion equations with compact initial support on $$\mathbb{R}$$. Zbl 1439.35266
Ding, Weiwei; Matano, Hiroshi
2019
An entire solution of a bistable parabolic equation on $$\mathbb{R}$$ with two colliding pulses. Zbl 1362.35152
Matano, H.; Poláčik, P.
2017
Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. Part I: A general quasiconvergence theorem and its consequences. Zbl 1345.35052
Matano, H.; Poláčik, P.
2016
On a free boundary problem for the curvature flow with driving force. Zbl 1336.35371
Guo, Jong-Shenq; Matano, Hiroshi; Shimojo, Masahiko; Wu, Chang-Hong
2016
Stability of front solutions of the bidomain equation. Zbl 1354.35171
Mori, Yoichiro; Matano, Hiroshi
2016
On the large time behavior of the solutions of a nonlocal ordinary differential equation with mass conservation. Zbl 1350.35032
Hilhorst, Danielle; Matano, Hiroshi; Nguyen, Thanh Nam; Weber, Hendrik
2016
Front propagation for nonlinear diffusion equations on the hyperbolic space. Zbl 1322.35065
Matano, Hiroshi; Punzo, Fabio; Tesei, Alberto
2015
Existence and convergence to a propagating terrace in one-dimensional reaction-diffusion equations. Zbl 1302.35209
Ducrot, Arnaud; Giletti, Thomas; Matano, Hiroshi
2014
Regularity and asymptotic behavior of nonlinear Stefan problems. Zbl 1293.35331
Du, Yihong; Matano, Hiroshi; Wang, Kelei
2014
Maximizing the spreading speed of KPP fronts in two-dimensional stratified media. Zbl 1319.35089
Liang, Xing; Matano, Hiroshi
2014
Recurrent traveling waves in a two-dimensional saw-toothed cylinder and their average speed. Zbl 1320.35140
Lou, Bendong; Matano, Hiroshi; Nakamura, Ken-Ichi
2013
Dynamical structure of some nonlinear degenerate diffusion equations. Zbl 1252.35166
Matano, Hiroshi; Pozio, M. Assunta
2012
On the validity of formal asymptotic expansions in Allen-Cahn equation and FitzHugh-Nagumo system with generic initial data. Zbl 1250.35124
Alfaro, Matthieu; Matano, Hiroshi
2012
Convergence rate of the Allen-Cahn equation to generalized motion by mean curvature. Zbl 1262.35039
Alfaro, Matthieu; Droniou, Jérôme; Matano, Hiroshi
2012
Threshold and generic type I behaviors for a supercritical nonlinear heat equation. Zbl 1223.35088
Matano, Hiroshi; Merle, Frank
2011
Large time behavior of disturbed planar fronts in the Allen-Cahn equation. Zbl 1252.35050
Matano, Hiroshi; Nara, Mitsunori
2011
Global existence and uniqueness of a three-dimensional model of cellular electrophysiology. Zbl 1215.35159
Matano, Hiroshi; Mori, Yoichiro
2011
Convergence and sharp thresholds for propagation in nonlinear diffusion problems. Zbl 1207.35061
Du, Yihong; Matano, Hiroshi
2010
A variational problem associated with the minimal speed of travelling waves for spatially periodic reaction-diffusion equations. Zbl 1206.35061
Liang, Xing; Lin, Xiaotao; Matano, Hiroshi
2010
An application of braid group theory to the finite time dead-core rate. Zbl 1239.35085
Guo, Jong-Shenq; Matano, Hiroshi; Wu, Chin-Chin
2010
Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen-Cahn equation. Zbl 1204.35026
Alfaro, Matthieu; Garcke, Harald; Hilhorst, Danielle; Matano, Hiroshi; Schätzle, Reiner
2010
Classification of type I and type II behaviors for a supercritical nonlinear heat equation. Zbl 1178.35084
Matano, Hiroshi; Merle, Frank
2009
Bistable traveling waves around an obstacle. Zbl 1172.35031
Berestycki, Henri; Matano, Hiroshi; Hamel, François
2009
Stability of planar waves in the Allen-Cahn equation. Zbl 1191.35053
Matano, Hiroshi; Nara, Mitsunori; Taniguchi, Masaharu
2009
The radius of vanishing bubbles in equivariant harmonic map flow from $$D^2$$ to $$S^2$$. Zbl 1223.35198
Angenent, S. B.; Hulshof, J.; Matano, H.
2009
The singular limit of the Allen-Cahn equation and the FitzHugh-Nagumo system. Zbl 1154.35006
Alfaro, Matthieu; Hilhorst, Danielle; Matano, Hiroshi
2008
Blow-up in nonlinear heat equations with supercritical power nonlinearity. Zbl 1200.35168
Matano, Hiroshi
2007
Singular limit of a spatially inhomogeneous Lotka-Volterra competition-diffusion system. Zbl 1133.35057
Hilhorst, D.; Karali, G.; Matano, H.; Nakashima, K.
2007
Global dynamics of blow-up profiles in one-dimensional reaction diffusion equations. Zbl 1132.35048
Fiedler, Bernold; Matano, Hiroshi
2007
Periodic traveling waves in a two-dimensional cylinder with saw-toothed boundary and their homogenization limit. Zbl 1114.35012
Matano, Hiroshi; Nakamura, Ken-Ichi; Lou, Bendong
2006
On the necessity of gaps. Zbl 1245.35043
Matano, Hiroshi; Rabinowitz, Paul H.
2006
Immediate regularization after blow-up. Zbl 1102.35053
Fila, Marek; Matano, Hiroshi; Polácik, Peter
2005
Immediate regularization after blow-up. Zbl 1108.35092
Fila, M.; Matano, H.; Poláčik, P.
2005
On nonexistence of type II blowup for a supercritical nonlinear heat equation. Zbl 1112.35098
Matano, Hiroshi; Merle, Frank
2004
Blow-up in nonlinear heat equations from the dynamical systems point of view. Zbl 1004.35060
Fila, Marek; Matano, Hiroshi
2002
Existence of $$L^1$$-connections between equilibria of a semilinear parabolic equation. Zbl 1001.35054
Fila, Marek; Matano, Hiroshi; Poláčik, Peter
2002
Connecting equilibria by blow-up solutions. Zbl 1157.35404
Fila, Marek; Matano, Hiroshi
2000
Monotonicity and convergence results in order-preserving systems in the presence of symmetry. Zbl 0958.37061
Ogiwara, Toshiko; Matano, Hiroshi
1999
Singular limit of a reaction-diffusion equation with a spatially inhomogeneous reaction term. Zbl 0936.35091
Nakamura, K.-I.; Matano, H.; Hilhorst, D.; Schätzle, R.
1999
Stability analysis in order-preserving systems in the presence of symmetry. Zbl 0931.35080
Ogiwara, Toshiko; Matano, Hiroshi
1999
The global attractor of semilinear parabolic equations on $$S^1$$. Zbl 0949.35022
Matano, Hiroshi; Nakamura, Ken-Ichi
1997
Large time behavior of solutions of a dissipative semilinear heat equation. Zbl 0838.35015
Escobedo, Miguel; Kavian, Otared; Matano, Hiroshi
1995
Finite-point extinction and continuity of interfaces in a nonlinear diffusion equation with strong absorption. Zbl 0814.35045
Chen, Xu-Yan; Matano, Hiroshi; Mimura, Masayasu
1995
Zeros of a complex Ginzburg-Landau order parameter with applications to superconductivity. Zbl 0817.35112
Elliott, C. M.; Matano, H.; Qi, Tang
1994
An infinite dimensional unstable manifold in a nonlinear degenerate diffusion equation. Zbl 0792.35104
Matano, Hiroshi; Pozio, Maria Assunta
1991
Singular solutions of a nonlinear elliptic equation and an infinite dimensional dynamical system. Zbl 0785.35031
Matano, Hiroshi
1990
Convergence, asymptotic periodicity, and finite-point blow-up in one- dimensional semilinear heat equations. Zbl 0692.35013
Chen, Xu-Yan; Matano, Hiroshi
1989
Discrete order preserving semigroups and stability for periodic parabolic differential equations. Zbl 0698.35075
Alikakos, Nicholas D.; Hess, Peter; Matano, Hiroshi
1989
Anisotropic singularities of solutions of nonlinear elliptic equations in $${\mathbb{R}}^ 2$$. Zbl 0687.35020
Chen, Xu-Yan; Matano, Hiroshi; Véron, Laurent
1989
Asymptotic behavior of solutions of semilinear heat equations on $$S^ 1$$. Zbl 0671.35039
Matano, Hiroshi
1988
Strong comparison principle in nonlinear parabolic equations. Zbl 0664.35048
Matano, H.
1987
Correction to: “Existence of nontrivial unstable sets for equilibriums of strongly order-preserving systems”. Zbl 0656.35009
Matano, Hiroshi
1987
Strongly order-preserving local semi-dynamical systems - theory and applications. Zbl 0634.34031
Matano, H.
1986
Singularités anisotropes d’équations elliptiques semi-linéaires dans le plan. (Anisotropic singularities of some semilinear elliptic equations in the plane). Zbl 0637.35033
Chen, Xuyan; Matano, Hiroshi; Véron, Laurent
1986
$$L^{\infty}$$ stability of an exponentially decreasing solution of the problem $$\Delta u+f(x,u)=0$$ in $$R^ n$$. Zbl 0594.35053
Matano, Hiroshi
1985
Existence of nontrivial unstable sets for equilibriums of strongly order- preserving systems. Zbl 0545.35042
Matano, Hiroshi
1984
Pattern formation in competition-diffusion systems in nonconvex domains. Zbl 0548.35063
Matano, Hiroshi; Mimura, Masayasu
1983
Asymptotic behavior of the free boundaries arising in one phase Stefan problems in multi-dimensional spaces. Zbl 0564.35100
Matano, Hiroshi
1983
Asymptotic behavior of the free boundaries arising in one phase Stefan problems in multi-dimensional spaces. Zbl 0569.35076
Matano, Hiroshi
1983
Nonincrease of the lap-number of a solution for a one-dimensional semilinear parabolic equation. Zbl 0496.35011
Matano, Hiroshi
1982
Discrete population models and chaos. Zbl 0473.92018
Ushiki, Shigehiro; Yamaguti, Masaya; Matano, Hiroshi
1980
Asymptotic behavior and stability of solutions of semilinear diffusion equations. Zbl 0445.35063
Matano, Hiroshi
1979
Euler’s finite difference scheme and chaos. Zbl 0434.39003
Yamaguti, Masaya; Matano, Hiroshi
1979
Convergence of solutions of one-dimensional semilinear parabolic equations. Zbl 0387.35008
Matano, Hiroshi
1978
all top 5

#### Cited by 1,008 Authors

 34 Matano, Hiroshi 32 Poláčik, Peter 23 Lou, Bendong 20 Du, Yihong 20 Fiedler, Bernold 19 Mizoguchi, Noriko 19 Yanagida, Eiji 17 Rocha, Carlos 17 Wei, Juncheng 15 Hamel, François 15 Hilhorst, Danielle 15 Kaikina, Elena Igorevna 14 Ducrot, Arnaud 13 Guo, Jong-Shenq 13 Mimura, Masayasu 13 Naumkin, Pavel Ivanovich 12 Giletti, Thomas 12 Lou, Yuan 12 Wang, Mingxin 11 Del Pino, Manuel A. 11 Merle, Frank 11 Sheng, WeiJie 11 Souplet, Philippe 11 Zhou, Maolin 10 Dancer, Edward Norman 10 Galaktionov, Victor Aleksandrovich 10 Jimbo, Shuichi 9 Angenent, Sigurd Bernardus 9 Ding, Weiwei 9 Hayashi, Nakao 9 Liang, Xing 9 Miyamoto, Yasuhito 9 Punzo, Fabio 8 Fujishima, Yohei 8 Hale, Jack Kenneth 8 Hupkes, Hermen Jan 8 Ninomiya, Hirokazu 8 Shen, Wenxian 8 Tesei, Alberto 8 Vazquez, Juan Luis 8 Wang, Yi 8 Yi, Taishan 7 Berestycki, Henri 7 Cai, Jingjing 7 Chen, Xinfu 7 Ishige, Kazuhiro 7 Li, Wan-Tong 7 Morita, Yoshihisa 7 Raphael, Pierre 7 Smith, Hal Leslie 7 Tsai, Dong-Ho 7 Véron, Laurent 7 Zaag, Hatem 6 do Nascimento, Arnaldo Simal 6 Girardin, Léo 6 Gu, Hong 6 Guo, Hongjun 6 Lam, King-Yeung 6 Musso, Monica 6 Nolasco de Carvalho, Alexandre 6 Quittner, Pavol 6 Seki, Yukihiro 6 Suzuki, Takashi 6 Vishnevskii, Mikhail P. 6 Wang, Xiaoliu 6 Winkler, Michael 6 Wu, Jianhong 6 Zhou, Dun 5 Alfaro, Matthieu 5 Chen, Xu-Yan 5 Collot, Charles 5 Ei, Shin-Ichiro 5 Giga, Yoshikazu 5 Guo, Zongming 5 Hieber, Matthias 5 Kwak, Minkyu 5 Lin, Yu-Chu 5 Liu, NaiWei 5 Lv, Guangying 5 Mallet-Paret, John Joseph 5 Ni, Wei-Ming 5 Rodríguez-Bernal, Aníbal 5 Roquejoffre, Jean-Michel 5 Shi, Junping 5 Shimojō, Masahiko 5 Sonego, Maicon 5 Takáč, Peter 5 Velázquez, Juan J. L. 5 Yamada, Yoshio 4 Bertsch, Michiel 4 Bouhours, Juliette 4 Brunovský, Pavol 4 Cosner, Chris 4 Eberle, Simon 4 Fiebig-Wittmaack, Melitta 4 Fila, Marek 4 Gopalsamy, Kondalsamy 4 Gui, Changfeng 4 Harada, Junichi 4 Haraux, Alain ...and 908 more Authors
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#### Cited in 167 Serials

 181 Journal of Differential Equations 51 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 46 Journal of Mathematical Analysis and Applications 42 Journal of Dynamics and Differential Equations 37 Discrete and Continuous Dynamical Systems 32 Calculus of Variations and Partial Differential Equations 29 Journal of Functional Analysis 27 Transactions of the American Mathematical Society 24 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 23 Nonlinear Analysis. Theory, Methods & Applications 22 Archive for Rational Mechanics and Analysis 22 Journal of Mathematical Biology 18 Mathematische Annalen 18 Proceedings of the American Mathematical Society 18 Nonlinear Analysis. Real World Applications 16 SIAM Journal on Mathematical Analysis 15 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 14 Communications in Partial Differential Equations 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Discrete and Continuous Dynamical Systems. Series B 12 Physica D 10 Bulletin of Mathematical Biology 10 Communications in Contemporary Mathematics 9 Applicable Analysis 9 Communications on Pure and Applied Mathematics 9 Mathematical Methods in the Applied Sciences 9 Advances in Mathematics 9 Applied Mathematics and Computation 9 Applied Mathematics Letters 9 Journal of Evolution Equations 8 Nonlinearity 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Journal of Computational and Applied Mathematics 8 Japan Journal of Industrial and Applied Mathematics 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Journal of the European Mathematical Society (JEMS) 7 Communications in Mathematical Physics 6 Journal of Mathematical Physics 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Duke Mathematical Journal 6 Proceedings of the Japan Academy. Series A 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Computers & Mathematics with Applications 5 Journal d’Analyse Mathématique 5 Rocky Mountain Journal of Mathematics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Archiv der Mathematik 5 Memoirs of the American Mathematical Society 5 Siberian Mathematical Journal 5 Japan Journal of Applied Mathematics 5 NoDEA. Nonlinear Differential Equations and Applications 5 Abstract and Applied Analysis 5 Communications on Pure and Applied Analysis 5 SIAM Journal on Applied Dynamical Systems 5 Boundary Value Problems 4 Mathematical Biosciences 4 Inventiones Mathematicae 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Quarterly of Applied Mathematics 4 Tohoku Mathematical Journal. Second Series 4 The Journal of Geometric Analysis 4 Science China. Mathematics 4 Journal of Elliptic and Parabolic Equations 3 Chaos, Solitons and Fractals 3 Mathematical and Computer Modelling 3 European Journal of Applied Mathematics 3 SIAM Journal on Applied Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Acta Mathematica Sinica. English Series 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Advances in Difference Equations 3 Journal of Biological Dynamics 2 Bulletin of the Australian Mathematical Society 2 International Journal of Systems Science 2 Israel Journal of Mathematics 2 Journal of Statistical Physics 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Numerische Mathematik 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Studies in Applied Mathematics 2 Theoretical Population Biology 2 Ergodic Theory and Dynamical Systems 2 Applied Mathematics and Mechanics. (English Edition) 2 Chinese Annals of Mathematics. Series B 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Journal of the American Mathematical Society 2 Journal of Integral Equations and Applications 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Journal of Elasticity 2 Journal of Mathematical Sciences (New York) 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of Difference Equations and Applications 2 Doklady Mathematics 2 Revista Matemática Complutense 2 Interfaces and Free Boundaries 2 Communications in Nonlinear Science and Numerical Simulation 2 The ANZIAM Journal 2 Differential Equations 2 Journal of Applied Mathematics ...and 67 more Serials
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#### Cited in 38 Fields

 962 Partial differential equations (35-XX) 209 Biology and other natural sciences (92-XX) 141 Dynamical systems and ergodic theory (37-XX) 117 Ordinary differential equations (34-XX) 38 Differential geometry (53-XX) 37 Numerical analysis (65-XX) 32 Operator theory (47-XX) 32 Global analysis, analysis on manifolds (58-XX) 26 Fluid mechanics (76-XX) 22 Statistical mechanics, structure of matter (82-XX) 16 Classical thermodynamics, heat transfer (80-XX) 14 Integral equations (45-XX) 13 Difference and functional equations (39-XX) 13 Systems theory; control (93-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 12 Mechanics of deformable solids (74-XX) 8 Probability theory and stochastic processes (60-XX) 6 Optics, electromagnetic theory (78-XX) 4 Combinatorics (05-XX) 4 Real functions (26-XX) 4 Mechanics of particles and systems (70-XX) 3 Measure and integration (28-XX) 3 Functional analysis (46-XX) 3 General topology (54-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Operations research, mathematical programming (90-XX)

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