## Yanagida, Eiji

Compute Distance To:
 Author ID: yanagida.eiji Published as: Yanagida, Eiji; Yanagida, E.
 Documents Indexed: 141 Publications since 1982 5 Contributions as Editor Co-Authors: 62 Co-Authors with 116 Joint Publications 1,164 Co-Co-Authors
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### Co-Authors

 30 single-authored 17 Yotsutani, Shoji 14 Fila, Marek 10 Poláčik, Peter 10 Winkler, Michael 9 Mizoguchi, Noriko 8 Ei, Shin-Ichiro 7 Kabeya, Yoshitsugu 7 Ninomiya, Hirokazu 6 Takahashi, Jin 5 Iida, Masato 5 Sato, Shota 4 Chern, Jann-Long 4 King, John Robert 4 Morita, Yoshihisa 3 Ikota, Ryo 3 Kuwamura, Masataka 3 Lou, Yuan 3 Shimojō, Masahiko 2 Hirose, Munemitsu 2 Hoshino, Masaki 2 Htoo, Khin Phyu Phyu 2 Ikeda, Kota 2 Ioku, Norisuke 2 Ishige, Kazuhiro 2 Kawano, Nichiro 2 Kozono, Hideo 2 Morishita, Hiroshi 2 Nagahara, Kentaro 2 Ni, Wei-Ming 2 Ogawa, Takayoshi 2 Okada, Izumi 2 Takagi, Izumi 2 Tanaka, Kazunaga 2 Tsutsumi, Yoshio 1 Fujii, Mikihiro 1 Guo, Jong-Shenq 1 Hwang, Gyeongha 1 Ikeda, Hideo 1 Iori, K. 1 Kan-on, Yukio 1 Kao, Chiu-Yen 1 Kisimoto, Kazuo 1 Kurata, Koji 1 Law, Chun-Kong 1 Macková, Petra 1 Maginu, Kenjiro 1 Matsuzawa, Hiroshi 1 Mimura, Masayasu 1 Miyata, Syuji 1 Monobe, Harunori 1 Muramatsu, Tatsuya 1 Myogahara, Hitoshi 1 Nakashima, Kimie 1 Nishiura, Yasumasa 1 Sato, Moto-Hiko 1 Sato, Tokushi 1 Takáč, Peter 1 Vazquez, Juan Luis 1 Yagisita, Hiroki 1 Yamada, Yoshio 1 Yamamoto, Nobito 1 Zhang, Linghai
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### Serials

 14 Journal of Differential Equations 9 Japan Journal of Industrial and Applied Mathematics 8 Journal of Mathematical Analysis and Applications 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Mathematische Annalen 6 Journal of Dynamics and Differential Equations 6 RIMS Kokyuroku 5 Archive for Rational Mechanics and Analysis 5 Differential and Integral Equations 5 SIAM Journal on Mathematical Analysis 5 Communications on Pure and Applied Analysis 4 Journal of Mathematical Biology 4 Discrete and Continuous Dynamical Systems 3 Funkcialaj Ekvacioj. Serio Internacia 3 Advances in Differential Equations 2 Indiana University Mathematics Journal 2 Tohoku Mathematical Journal. Second Series 2 Transactions of the American Mathematical Society 2 SIAM Journal on Applied Mathematics 2 Advances in Mathematical Sciences and Applications 2 Calculus of Variations and Partial Differential Equations 2 Journal of Evolution Equations 2 Advanced Studies in Pure Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 American Journal of Mathematics 1 Hiroshima Mathematical Journal 1 Journal of the Faculty of Science. Section I A 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Kodai Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Physica D 1 Mathematical and Computer Modelling 1 Sugaku Expositions 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Methods and Applications of Analysis 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Communications in Contemporary Mathematics 1 Mathematical Biosciences and Engineering 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Tohoku Mathematical Publications 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Elliptic and Parabolic Equations
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### Fields

 135 Partial differential equations (35-XX) 21 Ordinary differential equations (34-XX) 19 Biology and other natural sciences (92-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 General and overarching topics; collections (00-XX) 4 Operator theory (47-XX) 4 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Fluid mechanics (76-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

118 Publications have been cited 1,229 times in 739 Documents Cited by Year
On bounded and unbounded global solutions of a supercritical semilinear heat equation. Zbl 1055.35055
Poláčik, Peter; Yanagida, Eiji
2003
Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics. Zbl 1185.35059
Lou, Yuan; Yanagida, Eiji
2006
Structure theorems for positive radial solutions to $$\Delta u+ K(| x|)u^p=0$$ in $$\mathbb R^ n$$. Zbl 0793.34024
Kawano, Nichiro; Yanagida, Eiji; Yotsutani, Shoji
1993
Stability of fast travelling pulse solutions of the FitzHugh-Nagumo equations. Zbl 0566.92009
Yanagida, Eiji
1985
Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains. Zbl 1167.35426
Kao, Chiu-Yen; Lou, Yuan; Yanagida, Eiji
2008
Uniqueness of positive radial solutions of $$\Delta{} u + g(r)u + h(r)u^ p = 0$$ in $$\mathbb{R}{}^ n$$. Zbl 0737.35026
Yanagida, Eiji
1991
Branching of double pulse solutions from single pulse solutions in nerve axon equations. Zbl 0661.35003
Yanagida, Eiji
1987
Classification of the structure of positive radial solutions to $$\Delta u+K(| x|)u^ p=0$$ in $$\mathbb{R}^ n$$. Zbl 0819.35010
Yanagida, Eiji; Yotsutani, Shoji
1993
Critical exponents for the blow-up of solutions with sign changes in a semilinear parabolic equation. Zbl 0872.35046
Mizoguchi, Noriko; Yanagida, Eiji
1997
Mini-maximizers for reaction-diffusion systems with skew-gradient structure. Zbl 0993.35047
Yanagida, Eiji
2002
Stability of least energy patterns of the shadow system for an activator-inhibitor model. Zbl 1200.35172
Ni, Wei-Ming; Takagi, Izumi; Yanagida, Eiji
2001
Existence of non-constant stable equilibria in competition-diffusion equations. Zbl 0823.35090
Kan-on, Yukio; Yanagida, Eiji
1993
Diffusion-induced blowup in a nonlinear parabolic system. Zbl 0917.35052
Mizoguchi, Noriko; Ninomiya, Hirokazu; Yanagida, Eiji
1998
Existence of positive radial solutions to $$\Delta u+K(| x| )u^ p=0$$ in $$\mathbb R^ n$$. Zbl 0813.34036
Yanagida, Eiji; Yotsutani, Shoji
1995
Structure theorems for positive radial solutions to $$\text{div}(| Du|^{m-2} Du)+K(| x|)u^ q=0$$ in $$\mathbb{R}^ n$$. Zbl 0803.35040
Kawano, Nichiro; Yanagida, Eiji; Yotsutani, Shoji
1993
A Liouville property and quasiconvergence for a semilinear heat equation. Zbl 1068.35044
Poláčik, P.; Yanagida, E.
2005
Structure of positive radial solutions of Matukuma’s equation. Zbl 0735.35064
Yanagida, Eiji
1991
Convergence rate for a parabolic equation with supercritical nonlinearity. Zbl 1087.35049
Fila, Marek; Winkler, Michael; Yanagida, Eiji
2005
Solutions with moving singularities for a semilinear parabolic equation. Zbl 1170.35051
Sato, Shota; Yanagida, Eiji
2009
Standing pulse solutions in reaction-diffusion systems with skew-gradient structure. Zbl 0991.35045
Yanagida, Eiji
2002
Monotonicity of stable solutions in shadow systems. Zbl 0981.35018
Ni, Wei-Ming; Polácik, Peter; Yanagida, Eiji
2001
Structure of radial solutions to $$\Delta u+K(| x| )| u|^{p-1}u=0$$ in $$\mathbb R^ n$$. Zbl 0856.34040
Yanagida, Eiji
1996
Optimal lower bound of the grow-up rate for a supercritical parabolic equation. Zbl 1102.35017
Fila, Marek; King, John R.; Winkler, Michael; Yanagida, Eiji
2006
Grow up rate of solutions for a supercritical semilinear diffusion equation. Zbl 1072.35042
Fila, Marek; Winkler, Michael; Yanagida, Eiji
2004
Stability of stationary distributions in a space-dependent population growth process. Zbl 0505.92017
Yanagida, Eiji
1982
Global structure of positive solutions to equations of Matukuma type. Zbl 0862.35007
Yanagida, Eiji; Yotsutani, Shoji
1996
Stability of nonconstant steady states in reaction-diffusion systems on graphs. Zbl 0997.35030
Yanagida, Eiji
2001
Rate of convergence to Barenblatt profiles for the fast diffusion equation. Zbl 1315.76032
Fila, Marek; Vázquez, Juan Luis; Winkler, Michael; Yanagida, Eiji
2012
Forward self-similar solution with a moving singularity for a semilinear parabolic equation. Zbl 1180.35295
Sato, Shota; Yanagida, Eiji
2010
Irregular behavior of solutions for Fisher’s equation. Zbl 1138.35042
Yanagida, Eiji
2007
Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity. Zbl 1277.35070
Guo, Jong-Shenq; Ninomiya, Hirokazu; Shimojo, Masahiko; Yanagida, Eiji
2013
Dynamics of interfaces in competition-diffusion systems. Zbl 0806.35006
Ei, S.-I.; Yanagida, E.
1994
Maximization of the total population in a reaction-diffusion model with logistic growth. Zbl 1398.35091
Nagahara, Kentaro; Yanagida, Eiji
2018
Diffusion-induced extinction of a superior species in a competition system. Zbl 0909.92029
Iida, Masato; Muramatsu, Tatsuya; Ninomiya, Hirokazu; Yanagida, Eiji
1998
Life span of solutions with large initial data in a semilinear parabolic equation. Zbl 0996.35006
Mizoguchi, Noriko; Yanagida, Eiji
2001
Critical exponents for the blowup of solutions with sign changes in a semilinear parabolic equation. II. Zbl 0924.35055
Mizoguchi, Noriko; Yanagida, Eiji
1998
Blowup and life span of solutions for a semilinear parabolic equation. Zbl 0909.35056
Mizoguchi, Noriko; Yanagida, Eiji
1998
Existence of stable stationary solutions of scalar reaction-diffusion equations in thin tubular domains. Zbl 0709.35044
Yanagida, Eiji
1990
Sharp estimates of the convergence rate for a semilinear parabolic equation with supercritical nonlinearity. Zbl 1159.35010
Hoshino, Masaki; Yanagida, Eiji
2008
Life span of solutions for a semilinear parabolic problem with small diffusion. Zbl 0993.35011
Mizoguchi, Noriko; Yanagida, Eiji
2001
Uniqueness of rapidly decaying solutions to the Haraux-Weissler equation. Zbl 0856.34058
Yanagida, Eiji
1996
Sharp decay estimates in Lorentz spaces for nonnegative Schrödinger heat semigroups. Zbl 1405.35026
Ioku, Norisuke; Ishige, Kazuhiro; Yanagida, Eiji
2015
Time-dependent singularities in the heat equation. Zbl 1316.35146
Takahashi, Jin; Yanagida, Eiji
2015
Structure of the sets of regular and singular radial solutions for a semilinear elliptic equation. Zbl 1208.35009
Chern, Jann-Long; Yanagida, Eiji
2006
Singular backward self-similar solutions of a semilinear parabolic equation. Zbl 1210.35150
Sato, Shota; Yanagida, Eiji
2011
Slow convergence to zero for a parabolic equation with a supercritical nonlinearity. Zbl 1263.35138
Fila, Marek; Winkler, Michael; Yanagida, Eiji
2008
A solution to an Ambarzumyan problem on trees. Zbl 1254.34024
Law, Chun-Kong; Yanagida, Eiji
2012
Asymptotic behavior of singular solutions for a semilinear parabolic equation. Zbl 1248.35022
Sato, Shota; Yanagida, Eiji
2012
Slow dynamics of interfaces in the Allen-Cahn equation on a strip-like domain. Zbl 0921.35012
Ei, Shin-Ichiro; Yanagida, Eiji
1998
Stability of stationary interfaces of binary-tree type. Zbl 1109.35016
Ikota, Ryo; Yanagida, Eiji
2005
Sharp decay estimates of $$L^q$$-norms for nonnegative Schrödinger heat semigroups. Zbl 1295.47043
Ioku, Norisuke; Ishige, Kazuhiro; Yanagida, Eiji
2013
Homoclinic and heteroclinic orbits for a semilinear parabolic equation. Zbl 1252.35157
Fila, Marek; Yanagida, Eiji
2011
Time-dependent singularities in a semilinear parabolic equation with absorption. Zbl 1346.35113
Takahashi, Jin; Yanagida, Eiji
2016
Structure of positive radial solutions including singular solutions to Matukuma’s equation. Zbl 1125.35040
Morishita, Hiroshi; Yanagida, Eiji; Yotsutani, Shoji
2005
The Eckhaus and zigzag instability criteria in gradient/skew-gradient dissipative systems. Zbl 1006.37045
Kuwamura, Masataka; Yanagida, Eiji
2003
Uniqueness of positive radial solutions of $$\Delta{}u + f(u,|{}x |{}) = 0$$. Zbl 0786.35012
Yanagida, Eiji
1992
Nonstabilizing solutions and grow-up set for a supercritical semilinear diffusion equation. Zbl 1174.35403
Poláčik, P.; Yanagida, E.
2004
Critical exponent for the bipolar blowup in a semilinear parabolic equation. Zbl 0914.35064
Mizoguchi, Noriko; Ninomiya, Hirokazu; Yanagida, Eiji
1998
Stability of travelling front solutions of the FitzHugh-Nagumo equations. Zbl 0691.35053
Yanagida, E.
1989
Appearance of anomalous singularities in a semilinear parabolic equation. Zbl 1264.35125
Sato, Shota; Yanagida, Eiji
2012
Convergence to self-similar solutions for a semilinear parabolic equation. Zbl 1155.35005
Fila, Marek; Winkler, Michael; Yanagida, Eiji
2008
Blow-up of solutions with sign changes for a semilinear diffusion equation. Zbl 0869.35055
Mizoguchi, Noriko; Yanagida, Eiji
1996
Dynamics of interfaces in a scalar parabolic equation with variable diffusion coefficients. Zbl 0879.35018
Ei, Shin-Ichiro; Iida, Masato; Yanagida, Eiji
1997
Convergence rate to singular steady states in a semilinear parabolic equation. Zbl 1332.35181
Hoshino, Masaki; Yanagida, Eiji
2016
Existence of nodal fast-decay solutions to $$\Delta u+K(| x|)| u|^{p-1}u=0$$ in $$R^ n$$. Zbl 0823.35053
Yanagida, Eiji; Yotsutani, Shoij
1994
A stability criterion for stationary curves to the curvature-driven motion with a triple junction. Zbl 1036.35029
Ikota, Ryo; Yanagida, Eiji
2003
Localized solutions of a semilinear parabolic equation with a recurrent nonstationary asymptotics. Zbl 1316.35148
Poláčik, Peter; Yanagida, Eiji
2014
Global structure of solutions for equations of Brezis-Nirenberg type on the unit ball. Zbl 1114.35320
Kabeya, Yoshitsugu; Yanagida, Eiji; Yotsutani, Shoji
2001
Stability of stationary interfaces with contact angle in a generalized mean curvature flow. Zbl 0870.35056
Ei, S.-I.; Sato, M.-H.; Yanagida, E.
1996
Linear behaviour of solutions of a superlinear heat equation. Zbl 1263.35137
Fila, Marek; King, John R.; Winkler, Michael; Yanagida, Eiji
2008
Stability of stationary interfaces in a generalized mean curvature flow. Zbl 0799.35026
Ei, Shin-Ichiro; Yanagida, Eiji
1993
Sturmian theory for a class of nonlinear second-order differential equations. Zbl 0816.34026
Yanagida, Eiji
1994
Stability of double-pulse solutions in nerve axon equations. Zbl 0691.35052
Yanagida, Eiji; Maginu, Kenjiro
1989
Behavior of global solutions of the Fujita equation. Zbl 1292.35151
Yanagida, Eiji
2013
Critical exponents for the decay rate of solutions in a semilinear parabolic equation. Zbl 0937.35087
Mizoguchi, Noriko; Yanagida, Eiji
1998
Krein’s formula for indefinite multipliers in linear periodic Hamiltonian systems. Zbl 1107.37044
Kuwamura, Masataka; Yanagida, Eiji
2006
Global unbounded solutions of the Fujita equation in the intermediate range. Zbl 1319.35109
Poláčik, Peter; Yanagida, Eiji
2014
Grow-up rate of solutions of a semilinear parabolic equation with a critical exponent. Zbl 1170.35456
Fila, Marek; King, John R.; Winkler, Michael; Yanagida, Eiji
2007
On certain one-dimensional elliptic systems under different growth conditions at respective infinities. Zbl 1141.35319
Iida, Masato; Nakashima, Kimie; Yanagida, Eiji
2007
Solutions with moving singularities for equations of porous medium type. Zbl 1404.35270
Fila, Marek; Takahashi, Jin; Yanagida, Eiji
2019
Structural change of solutions for a scalar curvature equation. Zbl 1016.34024
Morishita, Hiroshi; Yanagida, Eiji; Yotsutani, Shoji
2001
Canonical forms and structure theorems for radial solutions to semi-linear elliptic problems. Zbl 1183.35140
Kabeya, Y.; Yanagida, E.; Yotsutani, S.
2002
Structure of the solution set for a vector valued elliptic boundary value problem with a Lipschitz nonlinear term. Zbl 1190.35089
Sato, Tokushi; Yanagida, Eiji
2005
Global structure of self-similar solutions in a semilinear parabolic equation. Zbl 0964.35023
Hirose, Munemitsu; Yanagida, Eiji
2000
Existence of stable subharmonic solutions for reaction-diffusion equations. Zbl 0981.35023
Poláčik, Peter; Yanagida, Eiji
2001
Very slow grow-up of solutions of a semi-linear parabolic equation. Zbl 1221.35064
Fila, Marek; King, John R.; Winkler, Michael; Yanagida, Eiji
2011
Recent topics on nonlinear partial differential equations: structure of radial solutions for semilinear elliptic equations. Zbl 1165.35386
Yanagida, Eiji; Yotsutani, Shoji
2003
Convergence of anisotropically decaying solutions of a supercritical semilinear heat equation. Zbl 1197.35150
Poláčik, Peter; Yanagida, Eiji
2009
Maximizing the total population with logistic growth in a patchy environment. Zbl 1456.49041
Nagahara, Kentaro; Lou, Yuan; Yanagida, Eiji
2021
Higher-dimensional moving singularities in a superlinear parabolic equation. Zbl 1405.35093
Htoo, Khin Phyu Phyu; Takahashi, Jin; Yanagida, Eiji
2018
Nonlinear perturbation of boundary values for reaction-diffusion systems: Inertial manifolds and their applications. Zbl 0809.35040
Morita, Yoshihisa; Ninomiya, Hirokazu; Yanagida, Eiji
1994
Singular solutions of a superlinear parabolic equation with homogeneous Neumann boundary conditions. Zbl 1362.35158
Htoo, Khin Phyu Phyu; Yanagida, Eiji
2017
Existence of periodic travelling wave solutions of reaction-diffusion systems with fast-slow dynamics. Zbl 0704.35076
Yanagida, Eiji
1988
Non-accessible singular homoclinic orbits for a semilinear parabolic equation. Zbl 1340.35179
Fila, Marek; Yanagida, Eiji
2014
Speeds of traveling waves in some integro-differential equations arising from neuronal networks. Zbl 1213.45006
Yanagida, Eiji; Zhang, Linghai
2010
Stable subharmonic solutions of reaction-diffusion equations on an arbitrary domain. Zbl 0993.35051
Poláčik, Peter; Yanagida, Eiji
2002
A unified approach to the structure of radial solutions for semilinear elliptic problems. Zbl 1001.35041
Yanagida, Eiji; Yotsutani, Shoji
2001
Convergence of solutions of a semilinear parabolic equation to selfsimilar solutions of the linear heat equation. Zbl 1178.35068
Fila, Marek; Winkler, Michael; Yanagida, Eiji
2008
Instability of stationary solutions for equations of curvature-driven motion of curves. Zbl 0834.35019
Ei, Shin-Ichiro; Yanagida, Eiji
1995
Stable stationary solutions with multiple layers in a scalar parabolic equation with variable diffusion. Zbl 0848.35064
Miyata, Syuji; Yanagida, Eiji
1995
Maximizing the total population with logistic growth in a patchy environment. Zbl 1456.49041
Nagahara, Kentaro; Lou, Yuan; Yanagida, Eiji
2021
On the evolution equation with a dynamic Hardy-type potential. Zbl 1470.35170
Chern, Jann-Long; Hwang, Gyeongha; Takahashi, Jin; Yanagida, Eiji
2021
Isolated singularities in the heat equation behaving like fractional Brownian motions. Zbl 1476.35012
Fujii, Mikihiro; Okada, Izumi; Yanagida, Eiji
2021
Solutions with moving singularities for equations of porous medium type. Zbl 1404.35270
Fila, Marek; Takahashi, Jin; Yanagida, Eiji
2019
Dynamics of interfaces in the Fisher-KPP equation for slowly decaying initial data. Zbl 1419.35112
Ninomiya, Hirokazu; Yanagida, Eiji
2019
Maximization of the total population in a reaction-diffusion model with logistic growth. Zbl 1398.35091
Nagahara, Kentaro; Yanagida, Eiji
2018
Higher-dimensional moving singularities in a superlinear parabolic equation. Zbl 1405.35093
Htoo, Khin Phyu Phyu; Takahashi, Jin; Yanagida, Eiji
2018
Singular solutions of a superlinear parabolic equation with homogeneous Neumann boundary conditions. Zbl 1362.35158
Htoo, Khin Phyu Phyu; Yanagida, Eiji
2017
Time-dependent singularities in a semilinear parabolic equation with absorption. Zbl 1346.35113
Takahashi, Jin; Yanagida, Eiji
2016
Convergence rate to singular steady states in a semilinear parabolic equation. Zbl 1332.35181
Hoshino, Masaki; Yanagida, Eiji
2016
Singular solutions of the scalar field equation with a critical exponent. Zbl 1479.35463
Chern, Jann-Long; Yanagida, Eiji
2016
Sharp decay estimates in Lorentz spaces for nonnegative Schrödinger heat semigroups. Zbl 1405.35026
Ioku, Norisuke; Ishige, Kazuhiro; Yanagida, Eiji
2015
Time-dependent singularities in the heat equation. Zbl 1316.35146
Takahashi, Jin; Yanagida, Eiji
2015
Instability of multi-spot patterns in shadow systems of reaction-diffusion equations. Zbl 1312.35017
Ei, Shin-Ichiro; Ikeda, Kota; Yanagida, Eiji
2015
Localized solutions of a semilinear parabolic equation with a recurrent nonstationary asymptotics. Zbl 1316.35148
Poláčik, Peter; Yanagida, Eiji
2014
Global unbounded solutions of the Fujita equation in the intermediate range. Zbl 1319.35109
Poláčik, Peter; Yanagida, Eiji
2014
Non-accessible singular homoclinic orbits for a semilinear parabolic equation. Zbl 1340.35179
Fila, Marek; Yanagida, Eiji
2014
Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity. Zbl 1277.35070
Guo, Jong-Shenq; Ninomiya, Hirokazu; Shimojo, Masahiko; Yanagida, Eiji
2013
Sharp decay estimates of $$L^q$$-norms for nonnegative Schrödinger heat semigroups. Zbl 1295.47043
Ioku, Norisuke; Ishige, Kazuhiro; Yanagida, Eiji
2013
Behavior of global solutions of the Fujita equation. Zbl 1292.35151
Yanagida, Eiji
2013
Rate of convergence to Barenblatt profiles for the fast diffusion equation. Zbl 1315.76032
Fila, Marek; Vázquez, Juan Luis; Winkler, Michael; Yanagida, Eiji
2012
A solution to an Ambarzumyan problem on trees. Zbl 1254.34024
Law, Chun-Kong; Yanagida, Eiji
2012
Asymptotic behavior of singular solutions for a semilinear parabolic equation. Zbl 1248.35022
Sato, Shota; Yanagida, Eiji
2012
Appearance of anomalous singularities in a semilinear parabolic equation. Zbl 1264.35125
Sato, Shota; Yanagida, Eiji
2012
Singular backward self-similar solutions of a semilinear parabolic equation. Zbl 1210.35150
Sato, Shota; Yanagida, Eiji
2011
Homoclinic and heteroclinic orbits for a semilinear parabolic equation. Zbl 1252.35157
Fila, Marek; Yanagida, Eiji
2011
Very slow grow-up of solutions of a semi-linear parabolic equation. Zbl 1221.35064
Fila, Marek; King, John R.; Winkler, Michael; Yanagida, Eiji
2011
Forward self-similar solution with a moving singularity for a semilinear parabolic equation. Zbl 1180.35295
Sato, Shota; Yanagida, Eiji
2010
Speeds of traveling waves in some integro-differential equations arising from neuronal networks. Zbl 1213.45006
Yanagida, Eiji; Zhang, Linghai
2010
Solutions with moving singularities for a semilinear parabolic equation. Zbl 1170.35051
Sato, Shota; Yanagida, Eiji
2009
Convergence of anisotropically decaying solutions of a supercritical semilinear heat equation. Zbl 1197.35150
Poláčik, Peter; Yanagida, Eiji
2009
Dynamics of global solutions of a semilinear parabolic equation. Zbl 1194.35069
Yanagida, Eiji
2009
Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains. Zbl 1167.35426
Kao, Chiu-Yen; Lou, Yuan; Yanagida, Eiji
2008
Sharp estimates of the convergence rate for a semilinear parabolic equation with supercritical nonlinearity. Zbl 1159.35010
Hoshino, Masaki; Yanagida, Eiji
2008
Slow convergence to zero for a parabolic equation with a supercritical nonlinearity. Zbl 1263.35138
Fila, Marek; Winkler, Michael; Yanagida, Eiji
2008
Convergence to self-similar solutions for a semilinear parabolic equation. Zbl 1155.35005
Fila, Marek; Winkler, Michael; Yanagida, Eiji
2008
Linear behaviour of solutions of a superlinear heat equation. Zbl 1263.35137
Fila, Marek; King, John R.; Winkler, Michael; Yanagida, Eiji
2008
Convergence of solutions of a semilinear parabolic equation to selfsimilar solutions of the linear heat equation. Zbl 1178.35068
Fila, Marek; Winkler, Michael; Yanagida, Eiji
2008
Irregular behavior of solutions for Fisher’s equation. Zbl 1138.35042
Yanagida, Eiji
2007
Grow-up rate of solutions of a semilinear parabolic equation with a critical exponent. Zbl 1170.35456
Fila, Marek; King, John R.; Winkler, Michael; Yanagida, Eiji
2007
On certain one-dimensional elliptic systems under different growth conditions at respective infinities. Zbl 1141.35319
Iida, Masato; Nakashima, Kimie; Yanagida, Eiji
2007
Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics. Zbl 1185.35059
Lou, Yuan; Yanagida, Eiji
2006
Optimal lower bound of the grow-up rate for a supercritical parabolic equation. Zbl 1102.35017
Fila, Marek; King, John R.; Winkler, Michael; Yanagida, Eiji
2006
Structure of the sets of regular and singular radial solutions for a semilinear elliptic equation. Zbl 1208.35009
Chern, Jann-Long; Yanagida, Eiji
2006
Krein’s formula for indefinite multipliers in linear periodic Hamiltonian systems. Zbl 1107.37044
Kuwamura, Masataka; Yanagida, Eiji
2006
A Liouville property and quasiconvergence for a semilinear heat equation. Zbl 1068.35044
Poláčik, P.; Yanagida, E.
2005
Convergence rate for a parabolic equation with supercritical nonlinearity. Zbl 1087.35049
Fila, Marek; Winkler, Michael; Yanagida, Eiji
2005
Stability of stationary interfaces of binary-tree type. Zbl 1109.35016
Ikota, Ryo; Yanagida, Eiji
2005
Structure of positive radial solutions including singular solutions to Matukuma’s equation. Zbl 1125.35040
Morishita, Hiroshi; Yanagida, Eiji; Yotsutani, Shoji
2005
Structure of the solution set for a vector valued elliptic boundary value problem with a Lipschitz nonlinear term. Zbl 1190.35089
Sato, Tokushi; Yanagida, Eiji
2005
Grow up rate of solutions for a supercritical semilinear diffusion equation. Zbl 1072.35042
Fila, Marek; Winkler, Michael; Yanagida, Eiji
2004
Nonstabilizing solutions and grow-up set for a supercritical semilinear diffusion equation. Zbl 1174.35403
Poláčik, P.; Yanagida, E.
2004
On bounded and unbounded global solutions of a supercritical semilinear heat equation. Zbl 1055.35055
Poláčik, Peter; Yanagida, Eiji
2003
The Eckhaus and zigzag instability criteria in gradient/skew-gradient dissipative systems. Zbl 1006.37045
Kuwamura, Masataka; Yanagida, Eiji
2003
A stability criterion for stationary curves to the curvature-driven motion with a triple junction. Zbl 1036.35029
Ikota, Ryo; Yanagida, Eiji
2003
Recent topics on nonlinear partial differential equations: structure of radial solutions for semilinear elliptic equations. Zbl 1165.35386
Yanagida, Eiji; Yotsutani, Shoji
2003
Mini-maximizers for reaction-diffusion systems with skew-gradient structure. Zbl 0993.35047
Yanagida, Eiji
2002
Standing pulse solutions in reaction-diffusion systems with skew-gradient structure. Zbl 0991.35045
Yanagida, Eiji
2002
Canonical forms and structure theorems for radial solutions to semi-linear elliptic problems. Zbl 1183.35140
Kabeya, Y.; Yanagida, E.; Yotsutani, S.
2002
Stable subharmonic solutions of reaction-diffusion equations on an arbitrary domain. Zbl 0993.35051
Poláčik, Peter; Yanagida, Eiji
2002
Structure of positive radial solutions for semilinear Dirichlet problems on a ball. Zbl 1140.35427
Myogahara, Hitoshi; Yanagida, Eiji; Yotsutani, Shoji
2002
Stability of least energy patterns of the shadow system for an activator-inhibitor model. Zbl 1200.35172
Ni, Wei-Ming; Takagi, Izumi; Yanagida, Eiji
2001
Monotonicity of stable solutions in shadow systems. Zbl 0981.35018
Ni, Wei-Ming; Polácik, Peter; Yanagida, Eiji
2001
Stability of nonconstant steady states in reaction-diffusion systems on graphs. Zbl 0997.35030
Yanagida, Eiji
2001
Life span of solutions with large initial data in a semilinear parabolic equation. Zbl 0996.35006
Mizoguchi, Noriko; Yanagida, Eiji
2001
Life span of solutions for a semilinear parabolic problem with small diffusion. Zbl 0993.35011
Mizoguchi, Noriko; Yanagida, Eiji
2001
Global structure of solutions for equations of Brezis-Nirenberg type on the unit ball. Zbl 1114.35320
Kabeya, Yoshitsugu; Yanagida, Eiji; Yotsutani, Shoji
2001
Structural change of solutions for a scalar curvature equation. Zbl 1016.34024
Morishita, Hiroshi; Yanagida, Eiji; Yotsutani, Shoji
2001
Existence of stable subharmonic solutions for reaction-diffusion equations. Zbl 0981.35023
Poláčik, Peter; Yanagida, Eiji
2001
A unified approach to the structure of radial solutions for semilinear elliptic problems. Zbl 1001.35041
Yanagida, Eiji; Yotsutani, Shoji
2001
Reaction-diffusion systems with skew-gradient structure. Zbl 1011.35071
Yanagida, Eiji
2001
Mini-maximizers for reaction-diffusion systems with skew-gradient structure. Zbl 0985.35526
Yanagida, Eiji
2001
Global structure of self-similar solutions in a semilinear parabolic equation. Zbl 0964.35023
Hirose, Munemitsu; Yanagida, Eiji
2000
Extinction and blowup of positive radial solutions for a semilinear elliptic equation. Zbl 0938.35055
Yanagida, Eiji
2000
Reaction-diffusion systems with skew-gradient structure. Zbl 0968.35057
Yanagida, Eiji
2000
A general criterion for the Eckhaus instability in gradient/skew-gradient systems. Zbl 1058.35506
Kuwamura, Masataka; Yanagida, Eiji
2000
Eigenvalue problems in the whole space with radially symmetric weight. Zbl 1126.35347
Kabeya, Yoshitsugu; Yanagida, Eiji
1999
Diffusion-induced blowup in a nonlinear parabolic system. Zbl 0917.35052
Mizoguchi, Noriko; Ninomiya, Hirokazu; Yanagida, Eiji
1998
Diffusion-induced extinction of a superior species in a competition system. Zbl 0909.92029
Iida, Masato; Muramatsu, Tatsuya; Ninomiya, Hirokazu; Yanagida, Eiji
1998
Critical exponents for the blowup of solutions with sign changes in a semilinear parabolic equation. II. Zbl 0924.35055
Mizoguchi, Noriko; Yanagida, Eiji
1998
Blowup and life span of solutions for a semilinear parabolic equation. Zbl 0909.35056
Mizoguchi, Noriko; Yanagida, Eiji
1998
Slow dynamics of interfaces in the Allen-Cahn equation on a strip-like domain. Zbl 0921.35012
Ei, Shin-Ichiro; Yanagida, Eiji
1998
Critical exponent for the bipolar blowup in a semilinear parabolic equation. Zbl 0914.35064
Mizoguchi, Noriko; Ninomiya, Hirokazu; Yanagida, Eiji
1998
Critical exponents for the decay rate of solutions in a semilinear parabolic equation. Zbl 0937.35087
Mizoguchi, Noriko; Yanagida, Eiji
1998
Critical exponents for the blow-up of solutions with sign changes in a semilinear parabolic equation. Zbl 0872.35046
Mizoguchi, Noriko; Yanagida, Eiji
1997
Dynamics of interfaces in a scalar parabolic equation with variable diffusion coefficients. Zbl 0879.35018
Ei, Shin-Ichiro; Iida, Masato; Yanagida, Eiji
1997
Bifurcation of rapidly decaying solutions for the Haraux-Weissler equation. Zbl 0885.34038
Hirose, Munemitsu; Yanagida, Eiji
1997
Stability of stationary solutions of the Gierer-Meinhardt system. Zbl 0966.35018
Yanagida, Eiji
1997
Structure of radial solutions to $$\Delta u+K(| x| )| u|^{p-1}u=0$$ in $$\mathbb R^ n$$. Zbl 0856.34040
Yanagida, Eiji
1996
Global structure of positive solutions to equations of Matukuma type. Zbl 0862.35007
Yanagida, Eiji; Yotsutani, Shoji
1996
Uniqueness of rapidly decaying solutions to the Haraux-Weissler equation. Zbl 0856.34058
Yanagida, Eiji
1996
Blow-up of solutions with sign changes for a semilinear diffusion equation. Zbl 0869.35055
Mizoguchi, Noriko; Yanagida, Eiji
1996
Stability of stationary interfaces with contact angle in a generalized mean curvature flow. Zbl 0870.35056
Ei, S.-I.; Sato, M.-H.; Yanagida, E.
1996
Existence of nodal fast-decay solutions to $$\text{div}(|\nabla u|^{m-2}\nabla u) + K(| x|)| u|^{q-1}u = 0$$ in $$\mathbb{R}^ n$$. Zbl 0855.35039
Kabeya, Yoshitsugu; Yanagida, Eiji; Yotsutani, Shoji
1996
Existence of positive radial solutions to $$\Delta u+K(| x| )u^ p=0$$ in $$\mathbb R^ n$$. Zbl 0813.34036
Yanagida, Eiji; Yotsutani, Shoji
1995
Instability of stationary solutions for equations of curvature-driven motion of curves. Zbl 0834.35019
Ei, Shin-Ichiro; Yanagida, Eiji
1995
Stable stationary solutions with multiple layers in a scalar parabolic equation with variable diffusion. Zbl 0848.35064
Miyata, Syuji; Yanagida, Eiji
1995
Dynamics of interfaces in competition-diffusion systems. Zbl 0806.35006
Ei, S.-I.; Yanagida, E.
1994
Existence of nodal fast-decay solutions to $$\Delta u+K(| x|)| u|^{p-1}u=0$$ in $$R^ n$$. Zbl 0823.35053
Yanagida, Eiji; Yotsutani, Shoij
1994
Sturmian theory for a class of nonlinear second-order differential equations. Zbl 0816.34026
Yanagida, Eiji
1994
...and 18 more Documents
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### Cited by 770 Authors

 56 Yanagida, Eiji 18 Winkler, Michael 17 Fila, Marek 14 Franca, Matteo 14 Wei, Juncheng 13 Chern, Jann-Long 12 Ishige, Kazuhiro 12 Poláčik, Peter 11 Zhang, Meirong 10 Chen, Chaonien 10 Kao, Chiu-Yen 10 Li, Yi 10 Sandstede, Björn 10 Takahashi, Jin 9 Chen, Zhiyou 9 Mizoguchi, Noriko 8 Ei, Shin-Ichiro 8 Lou, Yuan 8 Tang, Yong-Li 8 Wen, Zhiyuan 7 Kokubu, Hiroshi 7 Meng, Gang 7 Ninomiya, Hirokazu 7 Punzo, Fabio 7 Yan, Ping 6 Harada, Junichi 6 Hui, Kin Ming 6 Kabeya, Yoshitsugu 6 Liu, Xingbo 6 Mazari, Idriss 6 Mimura, Masayasu 6 Miyamoto, Yasuhito 6 Nadin, Grégoire 6 Ni, Wei-Ming 6 Shi, Junping 5 Bae, Soohyun 5 Choi, Yung-Sze 5 Du, Yihong 5 Fujishima, Yohei 5 Hilhorst, Danielle 5 Jones, Christopher K. R. T. 5 Kan-on, Yukio 5 Lafortune, Stéphane 5 Lin, Zhigui 5 Mohammadi, Seyyed Abbas 5 Naito, Yūki 5 Peng, Rui 5 Privat, Yannick 5 Quittner, Pavol 5 Sfecci, Andrea 5 Sourdis, Christos 5 Wang, Mingxin 5 Yotsutani, Shoji 5 Zhou, Lijuan 4 Carter, Paul M. 4 Cornwell, Paul 4 Del Pino, Manuel A. 4 Dickstein, Flávio 4 Furtado, Marcelo Fernandes 4 Ghazaryan, Anna 4 Guo, Jong-Shenq 4 Hamel, François 4 Hasegawa, Shoichi 4 Ioku, Norisuke 4 Karch, Grzegorz 4 King, John Robert 4 Lei, Yutian 4 Liang, Sihua 4 Liang, Xing 4 Lin, Chang-Shou 4 Liu, Lishan 4 Malchiodi, Andrea 4 Matano, Hiroshi 4 Meglioli, Giulia 4 Tanaka, Satoshi 4 Tang, Moxun 4 Verzini, Gianmaria 4 Weissler, Fred B. 4 Yan, Baoqiang 4 Zhang, Jihui 4 Zhu, Deming 3 Bandle, Catherine 3 Dalbono, Francesca 3 Dinh, Van Duong 3 do Nascimento, Arnaldo Simal 3 Ge, Weigao 3 Grillo, Gabriele 3 Hao, Xin’an 3 Hirose, Munemitsu 3 Hoshino, Masaki 3 Ishii, Yuta 3 Kaikina, Elena Igorevna 3 Kan, Toru 3 Karali, Georgia D. 3 Kim, Kwang Ik 3 Korman, Philip L. 3 Kowalczyk, Michał 3 Kuwamura, Masataka 3 Liu, Xiyu 3 Liu, Yansheng ...and 670 more Authors
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### Cited in 145 Serials

 108 Journal of Differential Equations 58 Journal of Mathematical Analysis and Applications 45 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 Journal of Dynamics and Differential Equations 28 Discrete and Continuous Dynamical Systems 18 Calculus of Variations and Partial Differential Equations 17 Japan Journal of Industrial and Applied Mathematics 14 Archive for Rational Mechanics and Analysis 14 Communications in Partial Differential Equations 13 Physica D 11 Journal of Functional Analysis 11 Transactions of the American Mathematical Society 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 SIAM Journal on Mathematical Analysis 11 Journal of Evolution Equations 11 Boundary Value Problems 10 Discrete and Continuous Dynamical Systems. Series B 10 Communications on Pure and Applied Analysis 9 Nonlinear Analysis. Real World Applications 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 SIAM Journal on Applied Mathematics 8 NoDEA. Nonlinear Differential Equations and Applications 7 Journal of Mathematical Biology 7 Applied Mathematics and Computation 7 Mathematische Annalen 7 Journal of Nonlinear Science 7 Nonlinear Analysis. Theory, Methods & Applications 6 Proceedings of the American Mathematical Society 6 Tohoku Mathematical Journal. Second Series 6 Science China. Mathematics 5 Applicable Analysis 5 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Computers & Mathematics with Applications 4 Journal of Mathematical Physics 4 Nonlinearity 4 Rocky Mountain Journal of Mathematics 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Computational and Applied Mathematics 4 Applied Mathematics Letters 4 Journal of Scientific Computing 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Topological Methods in Nonlinear Analysis 4 Nonlinear Dynamics 4 Communications in Contemporary Mathematics 4 SIAM Journal on Applied Dynamical Systems 3 Communications in Mathematical Physics 3 Mathematical Biosciences 3 Advances in Mathematics 3 Duke Mathematical Journal 3 Integral Equations and Operator Theory 3 Journal of Optimization Theory and Applications 3 Japan Journal of Applied Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Abstract and Applied Analysis 3 Advances in Nonlinear Analysis 3 Journal of Elliptic and Parabolic Equations 3 SN Partial Differential Equations and Applications 2 Israel Journal of Mathematics 2 Mathematical Methods in the Applied Sciences 2 Annales Polonici Mathematici 2 Applied Mathematics and Optimization 2 Journal of the Mathematical Society of Japan 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Results in Mathematics 2 Theoretical Population Biology 2 Ergodic Theory and Dynamical Systems 2 Acta Mathematicae Applicatae Sinica. English Series 2 Mathematical and Computer Modelling 2 Asymptotic Analysis 2 Applied Mathematics. Series B (English Edition) 2 Electronic Journal of Differential Equations (EJDE) 2 Acta Mathematica Sinica. English Series 2 Communications in Nonlinear Science and Numerical Simulation 2 Differential Equations 2 Journal of Hyperbolic Differential Equations 2 Mediterranean Journal of Mathematics 2 Advances in Difference Equations 2 Electronic Research Archive 1 Computer Methods in Applied Mechanics and Engineering 1 Inverse Problems 1 Journal of Computational Physics 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 The Annals of Probability 1 Indiana University Mathematics Journal 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Proceedings of the Japan Academy. Series A 1 Quarterly of Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae ...and 45 more Serials
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### Cited in 31 Fields

 596 Partial differential equations (35-XX) 149 Ordinary differential equations (34-XX) 124 Biology and other natural sciences (92-XX) 58 Dynamical systems and ergodic theory (37-XX) 48 Operator theory (47-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 27 Global analysis, analysis on manifolds (58-XX) 19 Numerical analysis (65-XX) 15 Differential geometry (53-XX) 13 Functional analysis (46-XX) 13 Fluid mechanics (76-XX) 9 Integral equations (45-XX) 7 Probability theory and stochastic processes (60-XX) 7 Mechanics of deformable solids (74-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Difference and functional equations (39-XX) 5 Mechanics of particles and systems (70-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Optics, electromagnetic theory (78-XX) 4 Quantum theory (81-XX) 4 Operations research, mathematical programming (90-XX) 3 Real functions (26-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Geometry (51-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)