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## Yagi, Atsushi

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 Author ID: yagi.atsushi Published as: Yagi, A.; Yagi, Atsushi
 Documents Indexed: 116 Publications since 1976, including 2 Books
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#### Co-Authors

 26 single-authored 17 Favini, Angelo 9 Tanabe, Hiroki 8 Tsujikawa, Tohru 7 Labbas, Rabah 7 Nakaguchi, Etsushi 6 Aida, Masashi 6 Maingot, Stéphane 6 Osaki, Koichi 6 Ton, Tạ Việt 5 Chuan, Le Huy 5 Efendiev, Messoud A. 4 Ryu, Sang-Uk 4 Yamamoto, Yoshitaka 3 Azizi, Somayyeh 3 Furuya, Kiyoko 3 Hai, Doan Duy 3 Lorenzi, Alfredo 3 Mimura, Masayasu 3 Mola, Gianluca 3 Tạ, Tôn Việt 3 Takei, Yasuhiro 2 Kageyama, Maya 2 Linh, Nguyen Thi Hoai 2 McIntosh, Alan 2 Nagabuchi, Yutaka 2 Nguyen, Linh Thi Hoai 2 Ohtake, Kensuke 2 Shirai, Taizo 1 Cowling, Michael G. 1 Doust, Ian 1 Fujimura, Hideaki 1 Fusi, Lorenzo 1 Grasselli, Maurizio 1 Iwasaki, Satoru 1 Le Huy Chuan 1 Nguyen Huu Du 1 Ohnaka, Kohzaburo 1 Primicerio, Mario 1 Saito, Seiji 1 Sakurai, Tatsunari 1 Shirai, Tatsuya 1 Tạ, Việt Tôn 1 Uchitane, Takeshi
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#### Serials

 16 Scientiae Mathematicae Japonicae 15 Funkcialaj Ekvacioj. Serio Internacia 10 Osaka Journal of Mathematics 5 Discrete and Continuous Dynamical Systems 4 Advances in Mathematical Sciences and Applications 4 RIMS Kokyuroku 3 Journal of the Mathematical Society of Japan 3 Mathematica Japonica 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematics and Computation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Nonlinear Analysis. Real World Applications 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Glasgow Mathematical Journal 1 Hokkaido Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Japanese Journal of Mathematics. New Series 1 Proceedings of the Japan Academy. Series A 1 Kobe Journal of Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Journal of the Australian Mathematical Society. Series A 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Kyushu Journal of Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Evolution Equations 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Analysis and Applications (Singapore) 1 Pure and Applied Mathematics, Marcel Dekker 1 International Mathematical Forum 1 Discrete and Continuous Dynamical Systems. Series S 1 Communications on Stochastic Analysis 1 Journal of Theoretical Biology 1 Nonlinear Analysis. Theory, Methods & Applications 1 Springer Monographs in Mathematics
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#### Fields

 78 Partial differential equations (35-XX) 38 Biology and other natural sciences (92-XX) 30 Ordinary differential equations (34-XX) 29 Operator theory (47-XX) 26 Dynamical systems and ergodic theory (37-XX) 9 Probability theory and stochastic processes (60-XX) 9 Numerical analysis (65-XX) 7 Statistical mechanics, structure of matter (82-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of deformable solids (74-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH

83 Publications have been cited 1,386 times in 989 Documents Cited by Year
Exponential attractor for a chemotaxis-growth system of equations. Zbl 1005.35023
Osaki, Koichi; Tsujikawa, Tohru; Yagi, Atsushi; Mimura, Masayasu
2002
Finite dimensional attractor for one-dimensional Keller-Segel equations. Zbl 1145.37337
Osaki, Koichi; Yagi, Atsushi
2001
Degenerate differential equations in Banach spaces. Zbl 0913.34001
Favini, Angelo; Yagi, Atsushi
1999
Banach space operators with a bounded $$H^ \infty$$ functional calculus. Zbl 0853.47010
Cowling, Michael; Doust, Ian; McIntosh, Alan; Yagi, Atsushi
1996
Abstract parabolic evolution equations and their applications. Zbl 1190.35004
Yagi, Atsushi
2010
Norm behavior of solutions to a parabolic system of chemotaxis. Zbl 0910.92007
Yagi, Atsushi
1997
Multivalued linear operators and degenerate evolution equations. Zbl 0786.47037
Favini, Angelo; Yagi, Atsushi
1993
Lower estimate of the attractor dimension for a chemotaxis growth system. Zbl 1125.37056
Aida, Masashi; Tsujikawa, Tohru; Efendiev, Messoud; Yagi, Atsushi; Mimura, Masayasu
2006
Global solution to some quasilinear parabolic system in population dynamics. Zbl 0810.35046
Yagi, Atsushi
1993
Abstract quasilinear evolution equations of parabolic type in Banach spaces. Zbl 0851.35060
Yagi, Atsushi
1991
Parabolic evolution equations in which the coefficients are the generators of infinitely differentiable semigroups. II. Zbl 0706.35060
Yagi, Atsushi
1990
Chemotaxis and growth system with singular sensitivity function. Zbl 1066.92004
Aida, Masashi; Osaki, Koichi; Tsujikawa, Tohru; Yagi, Atsushi; Mimura, Masayasu
2005
Global existence for a chemotaxis-growth system in $$\mathbb R^2$$. Zbl 1054.35111
Osaki, Koichi; Yagi, Atsushi
2002
Optimal control of Keller-Segel equations. Zbl 0982.49006
Ryu, Sang-Uk; Yagi, Atsushi
2001
On the abstract linear evolution equations in Banach spaces. Zbl 0318.34068
Yagi, A.
1976
Exponential attractors for non-autonomous dissipative system. Zbl 1218.37111
Efendiev, Messoud; Yamamoto, Yoshitaka; Yagi, Atsushi
2011
Coïncidence entre des espaces d’interpolation et des domaines de puissances fractionnaires d’opérateurs (Coincidence between interpolation spaces and domains of fractional powers of operators). Zbl 0563.46042
Yagi, Atsushi
1984
Dynamic of a stochastic predator-prey population. Zbl 1238.92055
Yagi, Atsushi; Ton, Ta Viet
2011
Flocking and non-flocking behavior in a stochastic Cucker-Smale system. Zbl 1291.60124
Ton, Ta Viet; Linh, Nguyen Thi Hoai; Yagi, Atsushi
2014
Space and time regularity for degenerate evolution equations. Zbl 0758.35048
Favini, Angelo; Yagi, Atsushi
1992
On the abstract evolution equation of parabolic type. Zbl 0371.47037
Yagi, Atsushi
1977
Complete abstract differential equations of elliptic type in UMD spaces. Zbl 1387.35164
Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi
2006
An $$L^p$$-approach to singular linear parabolic equations in bounded domains. Zbl 1082.35073
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki; Yagi, Atsushi
2005
Target pattern solutions for chemotaxis-growth system. Zbl 1056.92006
Aida, Masashi; Yagi, Atsushi
2004
Fractional powers of operators and evolution equations of parabolic type. Zbl 0708.35037
Yagi, Atsushi
1988
Applications of the purely imaginary powers of operators in Hilbert spaces. Zbl 0621.47024
Yagi, Atsushi
1987
Optimal control for an adsorbate-induced phase transition model. Zbl 1087.49016
Ryu, Sang-Uk; Yagi, Atsushi
2005
Quasilinear abstract parabolic evolution equations and exponential attractors. Zbl 1073.37090
Aida, Masashi; Efendiev, Messoud; Yagi, Atsushi
2005
Fully discrete approximation by Galerkin Runge-Kutta methods for quasilinear parabolic systems. Zbl 1011.65067
Nakaguchi, Etsushi; Yagi, Atsushi
2002
Generation theorem of semigroup for multivalued linear operators. Zbl 0812.47045
Yagi, Atsushi
1991
Operators of type $$\omega$$ without a bounded $$H_{\infty}$$ functional calculus. Zbl 0709.47016
McIntosh, Alan; Yagi, Atsushi
1990
On the longtime behavior of solutions to a model for epitaxial growth. Zbl 1233.35036
Grasselli, Maurizio; Mola, Gianluca; Yagi, Atsushi
2011
Asymptotic behavior of solutions for forest kinematic model. Zbl 1157.35317
Le Huy Chuan; Tsujikawa, Tohru; Yagi, Atsushi
2006
Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system. Zbl 1065.37056
Efendiev, Messoud; Yagi, Atsushi
2005
On the solvability and the maximal regularity of complete abstract differential equations of elliptic type. Zbl 1121.34325
Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi
2004
Stationary solutions to forest kinematic model. Zbl 1152.35366
Chuan, Le Huy; Tsujikawa, Tohru; Yagi, Atsushi
2009
A simplified approach in the study of elliptic differential equations in UMD spaces and new applications. Zbl 1165.34035
Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi
2008
Parabolic evolution equations in which the coefficients are the generators of infinitely differentiable semigroups. Zbl 0693.35074
Yagi, Atsushi
1989
Dynamics of a stochastic predator-prey model with the Beddington-DeAngelis functional response. Zbl 1331.60131
Ton, Ta Viet; Yagi, Atsushi
2011
Exponential attractors for competing species model with cross-diffusions. Zbl 1171.37032
Yagi, Atsushi
2008
Quasilinear degenerate evolution equations in Banach spaces. Zbl 1072.35104
Favini, Angelo; Yagi, Atsushi
2004
Necessary and sufficient conditions for maximal regularity in the study of elliptic differential equations in Hölder spaces. Zbl 1165.34034
Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi
2008
Dynamical system for forest kinematic model. Zbl 1130.37406
Chuan, Le Huy; Yagi, Atsushi
2006
Full discrete approximations by Galerkin method for chemotaxis-growth model. Zbl 1042.65544
Nakaguchi, Etsushi; Yagi, Atsushi
2001
Error estimates of implicit Runge-Kutta methods for quasilinear abstract equations of parabolic type in Banach spaces. Zbl 0934.65103
Nakaguchi, Etsushi; Yagi, Atsushi
1999
On second order implicit differential equations in Banach spaces. Zbl 0792.34059
Favini, A.; Yagi, A.
1993
Numerical computations and pattern formation for chemotaxis-growth model. Zbl 1184.37060
Hai, Doan Duy; Yagi, Atsushi
2009
A forest model with memory. Zbl 1179.37118
Mola, Gianluca; Yagi, Atsushi
2009
Homogeneous stationary solution for BCF model describing crystal surface growth. Zbl 1173.37063
Fujimura, H.; Yagi, A.
2009
Asymptotic behavior of solutions for BCF model describing crystal surface growth. Zbl 1177.35107
Fujimura, Hideaki; Yagi, Atsushi
2008
Dynamical system for BCF model describing crystal surface growth. Zbl 1180.35273
Fujimura, H.; Yagi, A.
2008
Global stability of approximation for exponential attractors. Zbl 1112.35028
Aida, Masashi; Yagi, Atsushi
2004
Quasilinear abstract parabolic evolution equations with applications. Zbl 1044.34018
Yagi, Atsushi
2002
Structure of the stationary solution to Keller-Segel equation in one dimension. Zbl 0951.92503
Osaki, Koichi; Yagi, Atsushi
1999
A priori estimates for some quasilinear parabolic system in population dynamics. Zbl 0905.35041
Yagi, Atsushi
1997
Asymptotic behavior of solutions for forest kinematic model under Dirichlet conditions. Zbl 1148.35037
Shirai, T.; Chuan, L. H.; Yagi, A.
2007
Unified study of elliptic problem in Hölder spaces. Zbl 1125.35329
Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi
2005
Numerical computations and pattern formation for adsorbate-induced phase transition model. Zbl 1081.37541
Takei, Yasuhiro; Tsujikawa, Tohru; Yagi, Atsushi
2005
On the solvability of complete abstract differential equations of elliptic type. Zbl 1128.34319
Favini, Angelo; Labbas, Rabah; Tanabe, Hiroki; Yagi, Atsushi
2004
Global attractor for approximate system of chemotaxis and growth. Zbl 1038.34053
Aida, Masashi; Yagi, Atsushi
2003
Exponential attractor for an adsorbate-induced phase transition model. Zbl 1011.35031
Tsujikawa, Tohru; Yagi, Atsushi
2002
Abstract second order differential equations with applications. Zbl 0862.34046
Favini, Angelo; Yagi, Atsushi
1995
Differentiability of families of the fractional powers of self-adjoint operators associated with sesquilinear forms. Zbl 0517.47031
Yagi, Atsushi
1983
Remarks on proof of a theorem of Kato and Kobayasi on linear evolution equations. Zbl 0472.47023
Yagi, Atsushi
1980
Exponential attractors for self-regulating homeostasis model on a sphere. Zbl 1437.35100
Kageyama, Maya; Yagi, Atsushi
2019
Real sectorial operators. Zbl 1375.47031
Yagi, A.
2017
Obstacle avoiding patterns and cohesiveness of fish school. Zbl 1344.92193
Nguyen, Linh Thi Hoai; Tạ, Việt Tôn; Yagi, Atsushi
2016
Quantitative investigations for ODE model describing fish schooling. Zbl 1343.60094
Linh, Nguyen Thi Hoai; Ton, Tạ Việt; Yagi, Atsushi
2015
Rosenbrock strong stability-preserving methods for convection-diffusion-reaction equations. Zbl 1297.65082
Hai, Doan Duy; Yagi, Atsushi
2014
An ordinary differential equation model for fish schooling. Zbl 1270.60067
Uchitane, Takeshi; Ton, Ta Viet; Yagi, Atsushi
2012
Exponential attractors for Belousov-Zhabotinskii reaction model. Zbl 1189.37084
Yagi, Atsushi; Osaki, Koichi; Sakurai, Tatsunari
2009
$$H_\infty$$ functional calculus and characterization of domains of fractional powers. Zbl 1181.47012
Yagi, Atsushi
2009
Free boundary problem in forest model. Zbl 1157.92035
Yagi, Atsushi
2008
An $$L^p$$-approach to singular linear parabolic equations with lower order terms. Zbl 1157.35410
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki; Yagi, Atsushi
2008
Stationary solutions for forest kinematic model under Dirichlet conditions. Zbl 1155.35475
Shirai, T.; Chuan, L. H.; Yagi, A.
2008
Dynamical system for forest kinematic model under Dirichlet conditions. Zbl 1152.35396
Shirai, T.; Chuan, L. H.; Yagi, A.
2007
Study of elliptic differential equations in UMD spaces. Zbl 1114.34040
Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi
2006
Exponential attractor for an adsorbate-induced phase transition model in non smooth domain. Zbl 1135.37030
Takei, Yasuhiro; Efendiev, Messoud; Tsujikawa, Tohru; Yagi, Atsushi
2006
Full discrete approximation for abstract quasilinear parabolic equations. Zbl 0935.65098
Nakaguchi, Etsushi; Yagi, Atsushi
1999
Global solution to some quasilinear parabolic problem in mathematical biology. Zbl 0793.35117
Yagi, Atsushi
1993
Evolution operators of parabolic equations in continuous function space. Zbl 0655.35029
Yagi, A.
1987
Regularity of functions on an interval with values in the space of fractional powers of operators. Zbl 0612.34058
Yagi, A.
1986
On a class of linear evolution equations of ”hyperbolic” type in reflexive Banach spaces. Zbl 0432.34039
Yagi, Atsushi
1979
Exponential attractors for self-regulating homeostasis model on a sphere. Zbl 1437.35100
Kageyama, Maya; Yagi, Atsushi
2019
Real sectorial operators. Zbl 1375.47031
Yagi, A.
2017
Obstacle avoiding patterns and cohesiveness of fish school. Zbl 1344.92193
Nguyen, Linh Thi Hoai; Tạ, Việt Tôn; Yagi, Atsushi
2016
Quantitative investigations for ODE model describing fish schooling. Zbl 1343.60094
Linh, Nguyen Thi Hoai; Ton, Tạ Việt; Yagi, Atsushi
2015
Flocking and non-flocking behavior in a stochastic Cucker-Smale system. Zbl 1291.60124
Ton, Ta Viet; Linh, Nguyen Thi Hoai; Yagi, Atsushi
2014
Rosenbrock strong stability-preserving methods for convection-diffusion-reaction equations. Zbl 1297.65082
Hai, Doan Duy; Yagi, Atsushi
2014
An ordinary differential equation model for fish schooling. Zbl 1270.60067
Uchitane, Takeshi; Ton, Ta Viet; Yagi, Atsushi
2012
Exponential attractors for non-autonomous dissipative system. Zbl 1218.37111
Efendiev, Messoud; Yamamoto, Yoshitaka; Yagi, Atsushi
2011
Dynamic of a stochastic predator-prey population. Zbl 1238.92055
Yagi, Atsushi; Ton, Ta Viet
2011
On the longtime behavior of solutions to a model for epitaxial growth. Zbl 1233.35036
Grasselli, Maurizio; Mola, Gianluca; Yagi, Atsushi
2011
Dynamics of a stochastic predator-prey model with the Beddington-DeAngelis functional response. Zbl 1331.60131
Ton, Ta Viet; Yagi, Atsushi
2011
Abstract parabolic evolution equations and their applications. Zbl 1190.35004
Yagi, Atsushi
2010
Stationary solutions to forest kinematic model. Zbl 1152.35366
Chuan, Le Huy; Tsujikawa, Tohru; Yagi, Atsushi
2009
Numerical computations and pattern formation for chemotaxis-growth model. Zbl 1184.37060
Hai, Doan Duy; Yagi, Atsushi
2009
A forest model with memory. Zbl 1179.37118
Mola, Gianluca; Yagi, Atsushi
2009
Homogeneous stationary solution for BCF model describing crystal surface growth. Zbl 1173.37063
Fujimura, H.; Yagi, A.
2009
Exponential attractors for Belousov-Zhabotinskii reaction model. Zbl 1189.37084
Yagi, Atsushi; Osaki, Koichi; Sakurai, Tatsunari
2009
$$H_\infty$$ functional calculus and characterization of domains of fractional powers. Zbl 1181.47012
Yagi, Atsushi
2009
A simplified approach in the study of elliptic differential equations in UMD spaces and new applications. Zbl 1165.34035
Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi
2008
Exponential attractors for competing species model with cross-diffusions. Zbl 1171.37032
Yagi, Atsushi
2008
Necessary and sufficient conditions for maximal regularity in the study of elliptic differential equations in Hölder spaces. Zbl 1165.34034
Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi
2008
Asymptotic behavior of solutions for BCF model describing crystal surface growth. Zbl 1177.35107
Fujimura, Hideaki; Yagi, Atsushi
2008
Dynamical system for BCF model describing crystal surface growth. Zbl 1180.35273
Fujimura, H.; Yagi, A.
2008
Free boundary problem in forest model. Zbl 1157.92035
Yagi, Atsushi
2008
An $$L^p$$-approach to singular linear parabolic equations with lower order terms. Zbl 1157.35410
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki; Yagi, Atsushi
2008
Stationary solutions for forest kinematic model under Dirichlet conditions. Zbl 1155.35475
Shirai, T.; Chuan, L. H.; Yagi, A.
2008
Asymptotic behavior of solutions for forest kinematic model under Dirichlet conditions. Zbl 1148.35037
Shirai, T.; Chuan, L. H.; Yagi, A.
2007
Dynamical system for forest kinematic model under Dirichlet conditions. Zbl 1152.35396
Shirai, T.; Chuan, L. H.; Yagi, A.
2007
Lower estimate of the attractor dimension for a chemotaxis growth system. Zbl 1125.37056
Aida, Masashi; Tsujikawa, Tohru; Efendiev, Messoud; Yagi, Atsushi; Mimura, Masayasu
2006
Complete abstract differential equations of elliptic type in UMD spaces. Zbl 1387.35164
Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi
2006
Asymptotic behavior of solutions for forest kinematic model. Zbl 1157.35317
Le Huy Chuan; Tsujikawa, Tohru; Yagi, Atsushi
2006
Dynamical system for forest kinematic model. Zbl 1130.37406
Chuan, Le Huy; Yagi, Atsushi
2006
Study of elliptic differential equations in UMD spaces. Zbl 1114.34040
Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi
2006
Exponential attractor for an adsorbate-induced phase transition model in non smooth domain. Zbl 1135.37030
Takei, Yasuhiro; Efendiev, Messoud; Tsujikawa, Tohru; Yagi, Atsushi
2006
Chemotaxis and growth system with singular sensitivity function. Zbl 1066.92004
Aida, Masashi; Osaki, Koichi; Tsujikawa, Tohru; Yagi, Atsushi; Mimura, Masayasu
2005
An $$L^p$$-approach to singular linear parabolic equations in bounded domains. Zbl 1082.35073
Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki; Yagi, Atsushi
2005
Optimal control for an adsorbate-induced phase transition model. Zbl 1087.49016
Ryu, Sang-Uk; Yagi, Atsushi
2005
Quasilinear abstract parabolic evolution equations and exponential attractors. Zbl 1073.37090
Aida, Masashi; Efendiev, Messoud; Yagi, Atsushi
2005
Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system. Zbl 1065.37056
Efendiev, Messoud; Yagi, Atsushi
2005
Unified study of elliptic problem in Hölder spaces. Zbl 1125.35329
Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi
2005
Numerical computations and pattern formation for adsorbate-induced phase transition model. Zbl 1081.37541
Takei, Yasuhiro; Tsujikawa, Tohru; Yagi, Atsushi
2005
Target pattern solutions for chemotaxis-growth system. Zbl 1056.92006
Aida, Masashi; Yagi, Atsushi
2004
On the solvability and the maximal regularity of complete abstract differential equations of elliptic type. Zbl 1121.34325
Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi
2004
Quasilinear degenerate evolution equations in Banach spaces. Zbl 1072.35104
Favini, Angelo; Yagi, Atsushi
2004
Global stability of approximation for exponential attractors. Zbl 1112.35028
Aida, Masashi; Yagi, Atsushi
2004
On the solvability of complete abstract differential equations of elliptic type. Zbl 1128.34319
Favini, Angelo; Labbas, Rabah; Tanabe, Hiroki; Yagi, Atsushi
2004
Global attractor for approximate system of chemotaxis and growth. Zbl 1038.34053
Aida, Masashi; Yagi, Atsushi
2003
Exponential attractor for a chemotaxis-growth system of equations. Zbl 1005.35023
Osaki, Koichi; Tsujikawa, Tohru; Yagi, Atsushi; Mimura, Masayasu
2002
Global existence for a chemotaxis-growth system in $$\mathbb R^2$$. Zbl 1054.35111
Osaki, Koichi; Yagi, Atsushi
2002
Fully discrete approximation by Galerkin Runge-Kutta methods for quasilinear parabolic systems. Zbl 1011.65067
Nakaguchi, Etsushi; Yagi, Atsushi
2002
Quasilinear abstract parabolic evolution equations with applications. Zbl 1044.34018
Yagi, Atsushi
2002
Exponential attractor for an adsorbate-induced phase transition model. Zbl 1011.35031
Tsujikawa, Tohru; Yagi, Atsushi
2002
Finite dimensional attractor for one-dimensional Keller-Segel equations. Zbl 1145.37337
Osaki, Koichi; Yagi, Atsushi
2001
Optimal control of Keller-Segel equations. Zbl 0982.49006
Ryu, Sang-Uk; Yagi, Atsushi
2001
Full discrete approximations by Galerkin method for chemotaxis-growth model. Zbl 1042.65544
Nakaguchi, Etsushi; Yagi, Atsushi
2001
Degenerate differential equations in Banach spaces. Zbl 0913.34001
Favini, Angelo; Yagi, Atsushi
1999
Error estimates of implicit Runge-Kutta methods for quasilinear abstract equations of parabolic type in Banach spaces. Zbl 0934.65103
Nakaguchi, Etsushi; Yagi, Atsushi
1999
Structure of the stationary solution to Keller-Segel equation in one dimension. Zbl 0951.92503
Osaki, Koichi; Yagi, Atsushi
1999
Full discrete approximation for abstract quasilinear parabolic equations. Zbl 0935.65098
Nakaguchi, Etsushi; Yagi, Atsushi
1999
Norm behavior of solutions to a parabolic system of chemotaxis. Zbl 0910.92007
Yagi, Atsushi
1997
A priori estimates for some quasilinear parabolic system in population dynamics. Zbl 0905.35041
Yagi, Atsushi
1997
Banach space operators with a bounded $$H^ \infty$$ functional calculus. Zbl 0853.47010
Cowling, Michael; Doust, Ian; McIntosh, Alan; Yagi, Atsushi
1996
Abstract second order differential equations with applications. Zbl 0862.34046
Favini, Angelo; Yagi, Atsushi
1995
Multivalued linear operators and degenerate evolution equations. Zbl 0786.47037
Favini, Angelo; Yagi, Atsushi
1993
Global solution to some quasilinear parabolic system in population dynamics. Zbl 0810.35046
Yagi, Atsushi
1993
On second order implicit differential equations in Banach spaces. Zbl 0792.34059
Favini, A.; Yagi, A.
1993
Global solution to some quasilinear parabolic problem in mathematical biology. Zbl 0793.35117
Yagi, Atsushi
1993
Space and time regularity for degenerate evolution equations. Zbl 0758.35048
Favini, Angelo; Yagi, Atsushi
1992
Abstract quasilinear evolution equations of parabolic type in Banach spaces. Zbl 0851.35060
Yagi, Atsushi
1991
Generation theorem of semigroup for multivalued linear operators. Zbl 0812.47045
Yagi, Atsushi
1991
Parabolic evolution equations in which the coefficients are the generators of infinitely differentiable semigroups. II. Zbl 0706.35060
Yagi, Atsushi
1990
Operators of type $$\omega$$ without a bounded $$H_{\infty}$$ functional calculus. Zbl 0709.47016
McIntosh, Alan; Yagi, Atsushi
1990
Parabolic evolution equations in which the coefficients are the generators of infinitely differentiable semigroups. Zbl 0693.35074
Yagi, Atsushi
1989
Fractional powers of operators and evolution equations of parabolic type. Zbl 0708.35037
Yagi, Atsushi
1988
Applications of the purely imaginary powers of operators in Hilbert spaces. Zbl 0621.47024
Yagi, Atsushi
1987
Evolution operators of parabolic equations in continuous function space. Zbl 0655.35029
Yagi, A.
1987
Regularity of functions on an interval with values in the space of fractional powers of operators. Zbl 0612.34058
Yagi, A.
1986
Coïncidence entre des espaces d’interpolation et des domaines de puissances fractionnaires d’opérateurs (Coincidence between interpolation spaces and domains of fractional powers of operators). Zbl 0563.46042
Yagi, Atsushi
1984
Differentiability of families of the fractional powers of self-adjoint operators associated with sesquilinear forms. Zbl 0517.47031
Yagi, Atsushi
1983
Remarks on proof of a theorem of Kato and Kobayasi on linear evolution equations. Zbl 0472.47023
Yagi, Atsushi
1980
On a class of linear evolution equations of ”hyperbolic” type in reflexive Banach spaces. Zbl 0432.34039
Yagi, Atsushi
1979
On the abstract evolution equation of parabolic type. Zbl 0371.47037
Yagi, Atsushi
1977
On the abstract linear evolution equations in Banach spaces. Zbl 0318.34068
Yagi, A.
1976
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#### Cited by 1,042 Authors

 44 Favini, Angelo 42 Winkler, Michael 31 Mu, Chunlai 21 Yagi, Atsushi 18 Zheng, Jiashan 17 Zheng, Sining 15 Lin, Ke 13 Al-Horani, Mohammed 13 Álvarez Seco, Teresa 13 Fëdorov, Vladimir Evgen’evich 13 Wang, Liangchen 13 Wang, Wei 12 Labbas, Rabah 12 Tao, Youshan 12 Zheng, Pan 11 Bu, Shangquan 11 Tanabe, Hiroki 10 Jin, Hai-Yang 10 Kostić, Marko 10 Lorenzi, Alfredo 10 McIntosh, Alan 10 Weis, Lutz W. 10 Xiang, Tian 9 Ammar, Aymen 9 Cai, Gang 9 Diagana, Toka 9 Sviridyuk, Georgiĭ Anatol’evich 9 Wang, Yifu 8 Baskakov, Anatoliĭ Grigor’evich 8 Efendiev, Messoud A. 8 Lankeit, Johannes 8 Mizukami, Masaaki 8 Osaki, Koichi 8 Tsujikawa, Tohru 8 Veraar, Mark C. 8 Zhao, Xiaopeng 7 Jeribi, Aref 7 Le Merdy, Christian 7 Li, Dan 7 Nakaguchi, Etsushi 7 Sikora, Adam S. 7 Viglialoro, Giuseppe 7 Wang, Yilong 7 Wang, Zhian 7 Yokota, Tomomi 6 Cao, Xinru 6 Fujie, Kentarou 6 Galiano Casas, Gonzalo 6 Kriegler, Christoph 6 Kunstmann, Peer Christian 6 Li, Xie 6 Maingot, Stéphane 6 Nguyen Thieu Huy 6 Wang, Rongnian 6 Yan, Lixin 6 Zhou, Shengfan 5 Bendahmane, Mostafa 5 Dlotko, Tomasz W. 5 Duan, Ning 5 Duong, Xuan Thinh 5 Guo, Shangjiang 5 Hillen, Thomas 5 Hu, Xuegang 5 Le, Dung 5 Li, Yuxiang 5 Medeghri, Ahmed 5 Ouhabaz, El Maati 5 Painter, Kevin J. 5 Ryu, Sang-Uk 5 Tạ, Tôn Việt 5 Xiang, Zhaoyin 5 Xiao, Ti-Jun 5 Yu, Hao 4 Acquistapace, Paolo 4 Baghaei, Khadijeh 4 Benzakour Amine, M. 4 Bichegkuev, Mairbek Suleĭmanovich 4 Fackler, Stephan 4 Ke, Yuanyuan 4 Kozono, Hideo 4 Kuto, Kousuke 4 Liang, Jin 4 Lin, Zhigui 4 Liu, Chein-Shan 4 Mauceri, Giancarlo 4 Meda, Stefano 4 Mimura, Masayasu 4 Monniaux, Sylvie 4 N’Guérékata, Gaston Mandata 4 Nolasco de Carvalho, Alexandre 4 Ogawa, Takayoshi 4 Plekhanova, Marina Vasil’evna 4 Ponce, Rodrigo F. 4 Prüß, Jan Wilhelm 4 Pyatkov, Sergei Grigor’evich 4 Qian, Tao 4 Qiu, Shuyan 4 Sadallah, Boubaker-Khaled 4 Sandovici, Adrian 4 Schwenninger, Felix L. ...and 942 more Authors
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#### Cited in 232 Serials

 93 Journal of Mathematical Analysis and Applications 62 Journal of Differential Equations 33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 32 Nonlinear Analysis. Real World Applications 30 Discrete and Continuous Dynamical Systems 27 Discrete and Continuous Dynamical Systems. Series B 24 ZAMP. Zeitschrift für angewandte Mathematik und Physik 24 Journal of Functional Analysis 22 Mathematical Methods in the Applied Sciences 19 Journal of Evolution Equations 17 Computers & Mathematics with Applications 14 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 11 Applicable Analysis 11 Applied Mathematics and Computation 11 Discrete and Continuous Dynamical Systems. Series S 10 Nonlinearity 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Mathematische Zeitschrift 9 Semigroup Forum 9 Abstract and Applied Analysis 9 Differential Equations 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Integral Equations and Operator Theory 8 Journal of Computational and Applied Mathematics 8 Mathematische Annalen 8 Mathematische Nachrichten 8 Proceedings of the American Mathematical Society 8 Transactions of the American Mathematical Society 8 Mediterranean Journal of Mathematics 8 Nonlinear Analysis. Theory, Methods & Applications 7 Israel Journal of Mathematics 7 Mathematical Notes 7 Journal of Mathematical Sciences (New York) 7 The Journal of Fourier Analysis and Applications 7 Communications on Pure and Applied Analysis 6 Numerische Mathematik 6 Siberian Mathematical Journal 6 Russian Mathematics 5 Bulletin of the Australian Mathematical Society 5 Journal of Mathematical Biology 5 Journal of Mathematical Physics 5 Applied Numerical Mathematics 5 Revista Matemática Iberoamericana 5 Journal of Scientific Computing 5 Communications in Partial Differential Equations 5 SIAM Journal on Mathematical Analysis 5 Nonlinear Analysis. Modelling and Control 5 Advances in Difference Equations 4 Archive for Rational Mechanics and Analysis 4 Linear and Multilinear Algebra 4 Rocky Mountain Journal of Mathematics 4 Journal of Optimization Theory and Applications 4 Osaka Journal of Mathematics 4 Acta Applicandae Mathematicae 4 Japan Journal of Industrial and Applied Mathematics 4 The Journal of Geometric Analysis 4 Journal of Dynamics and Differential Equations 4 NoDEA. Nonlinear Differential Equations and Applications 4 Journal of Applied Mathematics 4 Boundary Value Problems 4 Banach Journal of Mathematical Analysis 4 Kinetic and Related Models 3 International Journal of Control 3 Journal d’Analyse Mathématique 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Applied Mathematics and Optimization 3 Archiv der Mathematik 3 Funkcialaj Ekvacioj. Serio Internacia 3 Glasgow Mathematical Journal 3 Journal of the Mathematical Society of Japan 3 Proceedings of the Japan Academy. Series A 3 Physica D 3 Acta Mathematicae Applicatae Sinica. English Series 3 Mathematical and Computer Modelling 3 Journal of Integral Equations and Applications 3 Numerical Algorithms 3 Linear Algebra and its Applications 3 SIAM Journal on Applied Mathematics 3 Indagationes Mathematicae. New Series 3 Journal of Nonlinear Science 3 Calculus of Variations and Partial Differential Equations 3 Electronic Journal of Differential Equations (EJDE) 3 St. Petersburg Mathematical Journal 3 Doklady Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Discrete Dynamics in Nature and Society 3 Journal of Mathematical Fluid Mechanics 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Theoretical Biology 3 Open Mathematics 2 Physica A 2 Studia Mathematica 2 Ukrainian Mathematical Journal 2 Arkiv för Matematik 2 Mathematics of Computation 2 Advances in Mathematics 2 Annales Polonici Mathematici 2 Functional Analysis and its Applications 2 Numerical Functional Analysis and Optimization 2 Proceedings of the Edinburgh Mathematical Society. Series II ...and 132 more Serials
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#### Cited in 41 Fields

 658 Partial differential equations (35-XX) 398 Biology and other natural sciences (92-XX) 270 Operator theory (47-XX) 176 Ordinary differential equations (34-XX) 63 Harmonic analysis on Euclidean spaces (42-XX) 62 Numerical analysis (65-XX) 53 Probability theory and stochastic processes (60-XX) 50 Dynamical systems and ergodic theory (37-XX) 38 Functional analysis (46-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 34 Fluid mechanics (76-XX) 23 Integral equations (45-XX) 20 Systems theory; control (93-XX) 16 Abstract harmonic analysis (43-XX) 13 Global analysis, analysis on manifolds (58-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Real functions (26-XX) 7 Functions of a complex variable (30-XX) 7 Mechanics of deformable solids (74-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Integral transforms, operational calculus (44-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Group theory and generalizations (20-XX) 4 Topological groups, Lie groups (22-XX) 4 Difference and functional equations (39-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Information and communication theory, circuits (94-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX)