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## Tanaka, Naoki

Compute Distance To:
 Author ID: tanaka.naoki Published as: Tanaka, N.; Tanaka, Naoki
 Documents Indexed: 75 Publications since 1970
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#### Co-Authors

 25 single-authored 12 Kobayashi, Yoshikazu 11 Matsumoto, Toshitaka 9 Miyadera, Isao 5 Oka, Hirokazu 3 Naito, Masayoshi 3 Oharu, Shinnosuke 3 Okamoto, Hiroshi 2 Lin, Yuhua 2 Okubo, Masashi 1 Engel, Klaus-Jochen 1 Hirosaka, Ryosuke 1 Iwamoto, Mitsumasa 1 Katura, Takusige 1 Kawaguchi, Hideo 1 Martin, Robert H. jun. 1 Okazawa, Noboru 1 Sano, Hiroki 1 Takami, Kazuki 1 Tomizawa, Yukino 1 Toriumi, Satoshi
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#### Serials

 11 Journal of Mathematical Analysis and Applications 5 Studia Mathematica 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Mathematische Nachrichten 4 Proceedings of the Japan Academy. Series A 3 Israel Journal of Mathematics 3 Proceedings of the London Mathematical Society. Third Series 3 Semigroup Forum 3 Physica D 3 Differential and Integral Equations 3 Nonlinear Analysis. Theory, Methods & Applications 2 Proceedings of the American Mathematical Society 2 Tokyo Journal of Mathematics 2 Taiwanese Journal of Mathematics 1 Archiv der Mathematik 1 Hiroshima Mathematical Journal 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Mathematical Journal of Okayama University 1 Memoirs of the School of Science & Engineering 1 Journal of Integral Equations and Applications 1 Advances in Mathematical Sciences and Applications 1 Advances in Differential Equations 1 Chaos 1 RIMS Kokyuroku 1 Journal of Evolution Equations 1 RIMS Kôkyûroku Bessatsu
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#### Fields

 56 Operator theory (47-XX) 33 Ordinary differential equations (34-XX) 15 Partial differential equations (35-XX) 5 Integral equations (45-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Numerical analysis (65-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

47 Publications have been cited 295 times in 151 Documents Cited by Year
Exponentially bounded C-semigroups and integrated semigroups. Zbl 0702.47028
1989
On the exponentially bounded C-semigroups. Zbl 0631.47029
Tanaka, Naoki
1987
Some remarks on C-semigroups and integrated semigroups. Zbl 0642.47034
1987
Local C-semigroups and local integrated semigroups. Zbl 0703.47031
Tanaka, Naoki; Okazawa, Noboru
1990
$$C$$-semigroups and the abstract Cauchy problem. Zbl 0812.47044
1992
Exponentially bounded C-semigroups and generation of semigroups. Zbl 0697.47039
1989
On infinitesimal automorphisms of Siegel domains. Zbl 0188.08106
Tanaka, N.
1970
Quasilinear evolution equations with non-densely defined operators. Zbl 0942.34053
Tanaka, Naoki
1996
Semigroups of Lipschitz operators. Zbl 1045.47051
Kobayashi, Yoshikazu; Tanaka, Naoki
2001
Evolution operators generated by non-densely defined operators. Zbl 1096.47047
Oka, Hirokazu; Tanaka, Naoki
2005
Semilinear equations in the “hyperbolic” case. Zbl 0827.34052
Tanaka, Naoki
1995
Holomorphic C-semigroups and holomorphic semigroups. Zbl 0651.47028
Tanaka, Naoki
1989
Semigroups of locally Lipschitz operators associated with semilinear evolution equations. Zbl 1123.34044
Kobayashi, Yoshikazu; Matsumoto, Toshitaka; Tanaka, Naoki
2007
An application of semigroups of locally Lipschitz operators to Carrier equations with acoustic boundary conditions. Zbl 1145.47044
Kobayashi, Yoshikazu; Tanaka, Naoki
2008
Abstract quasilinear integrodifferential equations of hyperbolic type. Zbl 0883.45009
Oka, Hirokazu; Tanaka, Naoki
1997
$$\alpha$$-times integrated semigroups and abstract Cauchy problems. Zbl 0814.47049
Miyadera, Isao; Okubo, Masashi; Tanaka, Naoki
1993
A remark on exponentially bounded C-semigroups. Zbl 0731.47040
1990
Semigroups of locally Lipschitz operators associated with semilinear evolution equations of parabolic type. Zbl 1169.47045
Matsumoto, Toshitaka; Tanaka, Naoki
2008
Linear evolution equations in Banach spaces. Zbl 0746.34036
Tanaka, Naoki
1991
On perturbation theory for exponentially bounded C-semigroups. Zbl 0698.47025
Tanaka, Naoki
1990
Well-posedness for the complex Ginzburg-Landau equations. Zbl 1208.35143
Matsumoto, Toshitaka; Tanaka, Naoki
2010
Convergence and approximation of semigroups of Lipschitz operators. Zbl 1078.47023
Kobayashi, Yoshikazu; Tanaka, Naoki
2005
Generation of linear evolution operators. Zbl 0951.47042
Tanaka, Naoki
2000
On integrated semigroups which are not exponentially bounded. Zbl 0812.47041
Miyadera, Isao; Okubo, Masashi; Tanaka, Naoki
1993
A product formula for semigroups of Lipschitz operators associated with semilinear evolution equations of parabolic type. Zbl 1229.47133
Matsumoto, Toshitaka; Tanaka, Naoki
2011
Estimating the active dimension of the dynamics in a time series based on an information criterion. Zbl 0977.37046
Tanaka, Naoki; Okamoto, Hiroshi; Naito, Masayoshi
2001
Nonlinear abstract wave equations with strong damping. Zbl 0918.35094
Lin, Yuhua; Tanaka, Naoki
1998
The abstract Cauchy problem for dissipative operators with respect to metric-like functionals. Zbl 1311.47079
Tanaka, Naoki
2015
A Lipschitz semigroup approach to two-dimensional Navier-Stokes equations. Zbl 1198.47076
Kobayashi, Yoshikazu; Tanaka, Naoki
2010
Abstract Cauchy problems for quasi-linear evolution equations with non-densely defined operators. Zbl 1133.34033
Matsumoto, Toshitaka; Tanaka, Naoki
2007
Locally Lipschitz continuous integrated semigroups. Zbl 1068.47053
Tanaka, Naoki
2005
Semigroups of locally Lipschitz operators. Zbl 1033.47040
Kobayashi, Yoshikazu; Tanaka, Naoki
2002
Global solutions of abstract quasi-linear evolution equations of “hyperbolic” type. Zbl 0932.34066
Tanaka, Naoki
1999
Approximation of integrated semigroups by “integrated” discrete parameter semigroups. Zbl 0897.47038
Tanaka, Naoki
1997
Approximation of abstract Cauchy problems for dissipative operators with respect to metric-like functionals. Zbl 07113603
Tanaka, Naoki
2019
Well-posedness for mutational equations under a general type of dissipativity conditions. Zbl 1454.34089
Kobayashi, Yoshikazu; Tanaka, Naoki
2018
A product formula for semigroups of Lipschitz operators associated with abstract quasilinear evolution equations. Zbl 1251.47053
Tanaka, Naoki
2012
Lipschitz semigroup approach to drift-diffusion systems. Zbl 1202.47063
Matsumoto, Toshitaka; Tanaka, Naoki
2009
Time-dependent nonlinear perturbations of analytic and integrated semigroups. Zbl 1078.47058
Matsumoto, Toshitaka; Oharu, Shinnosuke; Tanaka, Naoki
2004
Abstract Cauchy problems for quasi-linear evolution equations in the sense of Hadamard. Zbl 1058.34079
Tanaka, Naoki
2004
Approximation of regularized evolution operators. Zbl 1063.47034
Tanaka, Naoki
2003
Perturbation theorems of Miyadera type for locally Lipschitz continuous integrated semigroups. Zbl 1051.47036
Tanaka, Naoki
2003
A characterization of evolution operators. Zbl 0980.47036
Tanaka, Naoki
2001
Estimating the amplitude of measurement noise present in chaotic time series. Zbl 0990.37521
Tanaka, Naoki; Okamoto, Hiroshi; Naito, Masayoshi
1999
Nonautonomous integro-differential equations of hyperbolic type. Zbl 0826.45006
Oka, Hirokazu; Tanaka, Naoki
1995
Nonlinear semigroups and evolution governed by “generalized” dissipative operators. Zbl 0818.34033
Kobayashi, Yoshikazu; Tanaka, Naoki
1994
Generalization of the Hille-Yosida theorem. Zbl 0746.47022
1991
Approximation of abstract Cauchy problems for dissipative operators with respect to metric-like functionals. Zbl 07113603
Tanaka, Naoki
2019
Well-posedness for mutational equations under a general type of dissipativity conditions. Zbl 1454.34089
Kobayashi, Yoshikazu; Tanaka, Naoki
2018
The abstract Cauchy problem for dissipative operators with respect to metric-like functionals. Zbl 1311.47079
Tanaka, Naoki
2015
A product formula for semigroups of Lipschitz operators associated with abstract quasilinear evolution equations. Zbl 1251.47053
Tanaka, Naoki
2012
A product formula for semigroups of Lipschitz operators associated with semilinear evolution equations of parabolic type. Zbl 1229.47133
Matsumoto, Toshitaka; Tanaka, Naoki
2011
Well-posedness for the complex Ginzburg-Landau equations. Zbl 1208.35143
Matsumoto, Toshitaka; Tanaka, Naoki
2010
A Lipschitz semigroup approach to two-dimensional Navier-Stokes equations. Zbl 1198.47076
Kobayashi, Yoshikazu; Tanaka, Naoki
2010
Lipschitz semigroup approach to drift-diffusion systems. Zbl 1202.47063
Matsumoto, Toshitaka; Tanaka, Naoki
2009
An application of semigroups of locally Lipschitz operators to Carrier equations with acoustic boundary conditions. Zbl 1145.47044
Kobayashi, Yoshikazu; Tanaka, Naoki
2008
Semigroups of locally Lipschitz operators associated with semilinear evolution equations of parabolic type. Zbl 1169.47045
Matsumoto, Toshitaka; Tanaka, Naoki
2008
Semigroups of locally Lipschitz operators associated with semilinear evolution equations. Zbl 1123.34044
Kobayashi, Yoshikazu; Matsumoto, Toshitaka; Tanaka, Naoki
2007
Abstract Cauchy problems for quasi-linear evolution equations with non-densely defined operators. Zbl 1133.34033
Matsumoto, Toshitaka; Tanaka, Naoki
2007
Evolution operators generated by non-densely defined operators. Zbl 1096.47047
Oka, Hirokazu; Tanaka, Naoki
2005
Convergence and approximation of semigroups of Lipschitz operators. Zbl 1078.47023
Kobayashi, Yoshikazu; Tanaka, Naoki
2005
Locally Lipschitz continuous integrated semigroups. Zbl 1068.47053
Tanaka, Naoki
2005
Time-dependent nonlinear perturbations of analytic and integrated semigroups. Zbl 1078.47058
Matsumoto, Toshitaka; Oharu, Shinnosuke; Tanaka, Naoki
2004
Abstract Cauchy problems for quasi-linear evolution equations in the sense of Hadamard. Zbl 1058.34079
Tanaka, Naoki
2004
Approximation of regularized evolution operators. Zbl 1063.47034
Tanaka, Naoki
2003
Perturbation theorems of Miyadera type for locally Lipschitz continuous integrated semigroups. Zbl 1051.47036
Tanaka, Naoki
2003
Semigroups of locally Lipschitz operators. Zbl 1033.47040
Kobayashi, Yoshikazu; Tanaka, Naoki
2002
Semigroups of Lipschitz operators. Zbl 1045.47051
Kobayashi, Yoshikazu; Tanaka, Naoki
2001
Estimating the active dimension of the dynamics in a time series based on an information criterion. Zbl 0977.37046
Tanaka, Naoki; Okamoto, Hiroshi; Naito, Masayoshi
2001
A characterization of evolution operators. Zbl 0980.47036
Tanaka, Naoki
2001
Generation of linear evolution operators. Zbl 0951.47042
Tanaka, Naoki
2000
Global solutions of abstract quasi-linear evolution equations of “hyperbolic” type. Zbl 0932.34066
Tanaka, Naoki
1999
Estimating the amplitude of measurement noise present in chaotic time series. Zbl 0990.37521
Tanaka, Naoki; Okamoto, Hiroshi; Naito, Masayoshi
1999
Nonlinear abstract wave equations with strong damping. Zbl 0918.35094
Lin, Yuhua; Tanaka, Naoki
1998
Abstract quasilinear integrodifferential equations of hyperbolic type. Zbl 0883.45009
Oka, Hirokazu; Tanaka, Naoki
1997
Approximation of integrated semigroups by “integrated” discrete parameter semigroups. Zbl 0897.47038
Tanaka, Naoki
1997
Quasilinear evolution equations with non-densely defined operators. Zbl 0942.34053
Tanaka, Naoki
1996
Semilinear equations in the “hyperbolic” case. Zbl 0827.34052
Tanaka, Naoki
1995
Nonautonomous integro-differential equations of hyperbolic type. Zbl 0826.45006
Oka, Hirokazu; Tanaka, Naoki
1995
Nonlinear semigroups and evolution governed by “generalized” dissipative operators. Zbl 0818.34033
Kobayashi, Yoshikazu; Tanaka, Naoki
1994
$$\alpha$$-times integrated semigroups and abstract Cauchy problems. Zbl 0814.47049
Miyadera, Isao; Okubo, Masashi; Tanaka, Naoki
1993
On integrated semigroups which are not exponentially bounded. Zbl 0812.47041
Miyadera, Isao; Okubo, Masashi; Tanaka, Naoki
1993
$$C$$-semigroups and the abstract Cauchy problem. Zbl 0812.47044
1992
Linear evolution equations in Banach spaces. Zbl 0746.34036
Tanaka, Naoki
1991
Generalization of the Hille-Yosida theorem. Zbl 0746.47022
1991
Local C-semigroups and local integrated semigroups. Zbl 0703.47031
Tanaka, Naoki; Okazawa, Noboru
1990
A remark on exponentially bounded C-semigroups. Zbl 0731.47040
1990
On perturbation theory for exponentially bounded C-semigroups. Zbl 0698.47025
Tanaka, Naoki
1990
Exponentially bounded C-semigroups and integrated semigroups. Zbl 0702.47028
1989
Exponentially bounded C-semigroups and generation of semigroups. Zbl 0697.47039
1989
Holomorphic C-semigroups and holomorphic semigroups. Zbl 0651.47028
Tanaka, Naoki
1989
On the exponentially bounded C-semigroups. Zbl 0631.47029
Tanaka, Naoki
1987
Some remarks on C-semigroups and integrated semigroups. Zbl 0642.47034
1987
On infinitesimal automorphisms of Siegel domains. Zbl 0188.08106
Tanaka, N.
1970
all top 5

#### Cited by 155 Authors

 19 Journal of Mathematical Analysis and Applications 14 Journal of Mathematical Sciences (New York) 12 Semigroup Forum 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Proceedings of the American Mathematical Society 5 Abstract and Applied Analysis 3 Israel Journal of Mathematics 3 Integral Equations and Operator Theory 3 Journal of Approximation Theory 3 Journal of Differential Equations 3 Proceedings of the Japan Academy. Series A 3 Integral Transforms and Special Functions 2 Applicable Analysis 2 Information Sciences 2 Journal of Soviet Mathematics 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Nagoya Mathematical Journal 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Journal of Integral Equations and Applications 2 Computational and Applied Mathematics 2 Proceedings of the Japan Academy 1 Computers & Mathematics with Applications 1 Journal of Statistical Physics 1 Reports on Mathematical Physics 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin de la Société Mathématique de France 1 Journal of Optimization Theory and Applications 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Siberian Mathematical Journal 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Mathematical and Computer Modelling 1 Sugaku Expositions 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Acta Mathematica Sinica. New Series 1 Chinese Science Bulletin 1 The Journal of Analysis 1 Opuscula Mathematica 1 Discrete and Continuous Dynamical Systems 1 Arab Journal of Mathematical Sciences 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Journal of Applied Analysis 1 Differential Equations and Dynamical Systems 1 Acta Mathematica Sinica. English Series 1 Differential Equations 1 Journal of Evolution Equations 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Advances in Difference Equations 1 African Diaspora Journal of Mathematics 1 Banach Journal of Mathematical Analysis 1 International Journal of Intelligent Computing and Cybernetics 1 Analysis and Mathematical Physics 1 Afrika Matematika 1 S$$\vec{\text{e}}$$MA Journal 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Nonautonomous Dynamical Systems 1 Nonlinear Analysis. Theory, Methods & Applications