Edit Profile (opens in new tab) Tanabe, Hiroki Co-Author Distance Author ID: tanabe.hiroki Published as: Tanabe, Hiroki; Tanabe, H. Documents Indexed: 87 Publications since 1956, including 2 Books 1 Contribution as Editor Reviewing Activity: 148 Reviews Co-Authors: 21 Co-Authors with 53 Joint Publications 442 Co-Co-Authors all top 5 Co-Authors 35 single-authored 36 Favini, Angelo 13 Lorenzi, Alfredo 9 Al-Horani, Mohammed 9 Yagi, Atsushi 7 Labbas, Rabah 6 Maingot, Stéphane 5 Nakagiri, Shin-ichi 4 Fabrizio, Mauro 4 Fukuda, Ellen Hidemi 4 Yamashita, Nobuo 2 Ha, Junhong 2 Kato, Tosio 2 Maruo, Kenji 1 Fujie, Yoshitaka 1 Hwang, Jinsoo 1 Jeong, Jin-Mun 1 Marinoschi, Gabriela 1 Pandolfi, Luciano 1 Park, Dong-Gun 1 Watanabe, Michiaki 1 Yakubov, Yakov all top 5 Serials 12 Osaka Journal of Mathematics 8 Funkcialaj Ekvacioj. Serio Internacia 7 Proceedings of the Japan Academy 6 Proceedings of the Japan Academy. Series A 4 Journal of Mathematical Analysis and Applications 4 Osaka Mathematical Journal 4 Discrete and Continuous Dynamical Systems. Series S 3 Journal of the Mathematical Society of Japan 2 Journal of the Korean Mathematical Society 2 Differential and Integral Equations 2 Computational Optimization and Applications 2 Electronic Journal of Differential Equations (EJDE) 2 Discrete and Continuous Dynamical Systems 1 Applicable Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Hokkaido Mathematical Journal 1 Journal of Differential Equations 1 Journal of the Faculty of Science. Section I A 1 Scientific Papers of the College of General Education 1 Optimization 1 Sūgaku 1 Journal of Mathematical Sciences (New York) 1 Advances in Differential Equations 1 Abstract and Applied Analysis 1 RIMS Kokyuroku 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 Pure and Applied Mathematics, Marcel Dekker 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Optimization Letters 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Evolution Equations and Control Theory 1 Monographs and Studies in Mathematics 1 RIMS Kokyuroku all top 5 Fields 43 Partial differential equations (35-XX) 27 Ordinary differential equations (34-XX) 24 Integral equations (45-XX) 22 Operator theory (47-XX) 4 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 1,170 times in 905 Documents Cited by ▼ Year ▼ Equations of evolution. Translated from Japanese by N. Mugibayashi and H. Haneda. Zbl 0417.35003 Tanabe, Hiroki 520 1979 Functional analytic methods for partial differential equations. Zbl 0867.35003 Tanabe, Hiroki 134 1997 On the abstract evolution equation. Zbl 0106.09302 Kato, Tosio; Tanabe, Hiroki 75 1962 On the equations of evolution in a Banach space. Zbl 0098.31301 Tanabe, Hiroki 68 1960 Remarks on the equations of evolution in a Banach space. Zbl 0098.31202 Tanabe, Hiroki 26 1960 Proximal gradient methods for multiobjective optimization and their applications. Zbl 1420.90065 Tanabe, Hiroki; Fukuda, Ellen H.; Yamashita, Nobuo 23 2019 A class of the equations of evolution in a Banach space. Zbl 0098.31201 Tanabe, Hiroki 19 1959 Evolutional equations of parabolic type. Zbl 0104.34002 Tanabe, Hiroki 16 1961 On the analyticity of solution of evolution equations. Zbl 0154.16403 Kato, Tosio; Tanabe, H. 15 1967 Complete abstract differential equations of elliptic type in UMD spaces. Zbl 1387.35164 Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi 13 2006 Singular integro-differential equations of parabolic type. Zbl 1033.45010 Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki 12 2002 Fundamental solutions for linear retarded functional differential equations in Banach space. Zbl 0771.34060 Tanabe, Hiroki 11 1992 Direct and inverse degenerate parabolic differential equations with multi-valued operators. Zbl 1327.35467 Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki 11 2015 Note on singular perturbation for abstract differential equations. Zbl 0135.37101 Tanabe, Hiroki 11 1964 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 10 2008 On the asymptotic distribution of eigenvalues of operators associated with strongly elliptic sesquilinear forms. Zbl 0227.35073 Maruo, Kenji; Tanabe, Hiroki 10 1971 On Green’s functions of elliptic and parabolic boundary value problems. Zbl 0277.35042 Tanabe, Hiroki 10 1972 On regularity of solutions of abstract differential equations. Zbl 0201.42801 Tanabe, H. 10 1970 Convergence rates analysis of a multiobjective proximal gradient method. Zbl 1514.90212 Tanabe, Hiroki; Fukuda, Ellen H.; Yamashita, Nobuo 10 2023 An \(L^p\)-approach to singular linear parabolic equations in bounded domains. Zbl 1082.35073 Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki; Yagi, Atsushi 9 2005 Convergence to a stationary state of the solution of some and of differential equations in a Banach space. Zbl 0123.10402 Tanabe, Hiroki 8 1961 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 8 2004 On differentiability and analyticity of solutions of weighted elliptic boundary value problems. Zbl 0151.15201 Tanabe, H. 7 1965 Fréchet differentiability of solution mappings for semilinear second order evolution equations. Zbl 1158.34042 Ha, Junhong; Nakagiri, Shin-ichi; Tanabe, Hiroki 6 2008 Inverse and direct problems for nonautonomous degenerate integrodifferential equations of parabolic type with Dirichlet boundary conditions. Zbl 1106.45302 Lorenzi, Alfredo; Tanabe, Hiroki 6 2006 Degenerate integrodifferential equations of parabolic type with Robin boundary conditions: \(L^{p}\)-theory. Zbl 1352.45012 Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki 6 2017 On fundamental solution of differential equation with time delay in Banach space. Zbl 0658.34056 Tanabe, Hiroki 6 1988 Degenerate integrodifferential equations of parabolic type with Robin boundary conditions: \(L^2\)-theory. Zbl 1166.45003 Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki 5 2009 Direct and inverse problems for degenerate differential equations. Zbl 1410.34176 Al Horani, Mohammed; Fabrizio, Mauro; Favini, Angelo; Tanabe, Hiroki 5 2018 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 5 2008 Structural operators and semigroups associated with functional differential equations in Hilbert spaces. Zbl 0818.47039 Jeong, Jin-Mun; Nakagiri, Shin-ichi; Tanabe, Hiroki 5 1993 An accelerated proximal gradient method for multiobjective optimization. Zbl 1522.90186 Tanabe, Hiroki; Fukuda, Ellen H.; Yamashita, Nobuo 5 2023 Gâteaux differentiability of solution mappings for semilinear second-order evolution equations. Zbl 1094.34041 Ha, Junhong; Nakagiri, Shin-ichi; Tanabe, Hiroki 4 2005 Degenerate integrodifferential equations of parabolic type. Zbl 1106.45301 Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki 4 2006 Singular evolution integro-differential equations with kernels defined on bounded intervals. Zbl 1085.45008 Favini, A.; Lorenzi, A.; Tanabe, H. 4 2005 Linear Volterra integral equations of parabolic type. Zbl 0523.45007 Tanabe, Hiroki 4 1983 Structural operators for linear delay-differential equations in Hilbert space. Zbl 0668.45013 Tanabe, Hiroki 4 1988 Remarks on linear Volterra integral equations of parabolic type. Zbl 0584.45011 Tanabe, Hiroki 4 1985 On regularity of solutions of abstract differential equations of parabolic type in Banach space. Zbl 0153.45303 Tanabe, H. 4 1967 Direct and inverse problems for systems of singular differential boundary-value problems. Zbl 1286.35264 Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki 3 2012 Unified study of elliptic problem in Hölder spaces. (Étude unifiée de problèmes elliptiques dans le cadre höldérien.) Zbl 1125.35329 Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi 3 2005 Singular differential equations with delay. Zbl 1022.35080 Favini, Angelo; Pandolfi, Luciano; Tanabe, Hiroki 3 1999 Structural operators and eigenmanifold decomposition for functional differential equations in Hilbert spaces. Zbl 0906.47033 Nakagiri, Shin-ichi; Tanabe, Hiroki 3 1996 Differentiability of solutions of some unilateral problem of parabolic type. Zbl 0469.47049 Tanabe, Hiroki 3 1981 Evolution equations. Zbl 0123.31903 Tanabe, Hiroki 3 1962 Degenerate Volterra equations in Banach spaces. Zbl 1013.45005 Favini, Angelo; Tanabe, Hiroki 2 2001 Inverse problems for evolution equations with time dependent operator-coefficients. Zbl 1392.34069 Al Horani, Mohammed; Favini, Angelo; Tanabe, Hiroki 2 2016 First-order regular and degenerate identification differential problems. Zbl 1470.34052 Favini, A.; Lorenzi, A.; Tanabe, H. 2 2015 Note on nonlinear Volterra integral equation in Hilbert space. Zbl 0457.45008 Tanabe, Hiroki 2 1980 Identification problems for degenerate integro-differential equations. Zbl 1387.35593 Al Horani, Mohammed; Fabrizio, Mauro; Favini, Angelo; Tanabe, Hiroki 2 2017 On some parabolic equations of evolution in Hilbert space. Zbl 0267.34060 Fujie, Yoshitaka; Tanabe, Hiroki 2 1973 Volterra integro-differential equations of parabolic type of higher order in t. Zbl 0628.45008 Tanabe, Hiroki 2 1987 On differentiability in time of solutions of some type of boundary value problems. Zbl 0144.14201 Tanabe, H. 2 1964 Note on perturbation and degeneration of abstract differential equations in Banach space. Zbl 0186.47203 Tanabe, H.; Watanabe, Michiaki 2 1966 On the asymptotic distribution of eigenvalues of operators associated with strongly elliptic sesquilinear forms. Zbl 0225.35074 Maruo, Kenji; Tanabe, Hiroki 2 1971 Parabolic first and second order differential equations. Zbl 1359.35223 Al Horani, Mohammed; Favini, Angelo; Tanabe, Hiroki 2 2016 On the solvability of complete abstract differential equations of elliptic type. Zbl 1128.34319 Favini, Angelo; Labbas, Rabah; Tanabe, Hiroki; Yagi, Atsushi 2 2004 Fractional Cauchy problems for infinite interval case. Zbl 1511.34006 Horani, Mohammed Al; Fabrizio, Mauro; Favini, Angelo; Tanabe, Hiroki 1 2020 An \(L^p\)-approach to singular linear parabolic equations with lower order terms. Zbl 1157.35410 Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki; Yagi, Atsushi 1 2008 Solutions of quasilinear wave equation with strong and nonlinear viscosity. Zbl 1222.35128 Hwang, Jin-Soo; Nakagiri, Shin-Ichi; Tanabe, Hiroki 1 2011 Fractional Cauchy problems and applications. Zbl 1457.34006 Al Horani, Mohammed; Fabrizio, Mauro; Favini, Angelo; Tanabe, Hiroki 1 2020 On some unilateral problem of elliptic and parabolic type. Zbl 0405.35017 Tanabe, Hiroki 1 1978 Study of elliptic differential equations in UMD spaces. Zbl 1114.34040 Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi 1 2006 On remainder estimates in the asymptotic formula of the distribution of eigenvalues of elliptic operators. Zbl 0252.35052 Tanabe, Hiroki 1 1972 A general approach to identification problems. Zbl 1391.35415 Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki 1 2014 Regularity results and solution semigroups for retarded functional differential equations. Zbl 1369.34099 Favini, Angelo; Tanabe, H. 1 2017 On fundamental solutions of linear parabolic equations of higher order in time and associated Volterra equations. Zbl 0673.35042 Tanabe, Hiroki 1 1988 Degenerate Volterra equations in Banach spaces. Zbl 0974.45009 Favini, Angelo; Tanabe, Hiroki 1 2000 On the asymptotic behavior of solutions of linear parabolic equations in \(L^ 1\) space. Zbl 0676.35036 Park, Dong Gun; Tanabe, Hiroki 1 1987 On estimates for derivatives of solutions of weighted elliptic boundary value problems. Zbl 0143.14301 Tanabe, Hiroki 1 1966 Note on uniqueness of solutions of differential inequalities of parabolic type. Zbl 0144.35101 Tanabe, Hiroki 1 1965 Identifications for general degenerate problems of hyperbolic type in Hilbert spaces. Zbl 1491.35453 Favini, A.; Marinoschi, G.; Tanabe, H.; Yakubov, Ya. 1 2022 Convergence rates analysis of a multiobjective proximal gradient method. Zbl 1514.90212 Tanabe, Hiroki; Fukuda, Ellen H.; Yamashita, Nobuo 10 2023 An accelerated proximal gradient method for multiobjective optimization. Zbl 1522.90186 Tanabe, Hiroki; Fukuda, Ellen H.; Yamashita, Nobuo 5 2023 Identifications for general degenerate problems of hyperbolic type in Hilbert spaces. Zbl 1491.35453 Favini, A.; Marinoschi, G.; Tanabe, H.; Yakubov, Ya. 1 2022 Fractional Cauchy problems for infinite interval case. Zbl 1511.34006 Horani, Mohammed Al; Fabrizio, Mauro; Favini, Angelo; Tanabe, Hiroki 1 2020 Fractional Cauchy problems and applications. Zbl 1457.34006 Al Horani, Mohammed; Fabrizio, Mauro; Favini, Angelo; Tanabe, Hiroki 1 2020 Proximal gradient methods for multiobjective optimization and their applications. Zbl 1420.90065 Tanabe, Hiroki; Fukuda, Ellen H.; Yamashita, Nobuo 23 2019 Direct and inverse problems for degenerate differential equations. Zbl 1410.34176 Al Horani, Mohammed; Fabrizio, Mauro; Favini, Angelo; Tanabe, Hiroki 5 2018 Degenerate integrodifferential equations of parabolic type with Robin boundary conditions: \(L^{p}\)-theory. Zbl 1352.45012 Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki 6 2017 Identification problems for degenerate integro-differential equations. Zbl 1387.35593 Al Horani, Mohammed; Fabrizio, Mauro; Favini, Angelo; Tanabe, Hiroki 2 2017 Regularity results and solution semigroups for retarded functional differential equations. Zbl 1369.34099 Favini, Angelo; Tanabe, H. 1 2017 Inverse problems for evolution equations with time dependent operator-coefficients. Zbl 1392.34069 Al Horani, Mohammed; Favini, Angelo; Tanabe, Hiroki 2 2016 Parabolic first and second order differential equations. Zbl 1359.35223 Al Horani, Mohammed; Favini, Angelo; Tanabe, Hiroki 2 2016 Direct and inverse degenerate parabolic differential equations with multi-valued operators. Zbl 1327.35467 Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki 11 2015 First-order regular and degenerate identification differential problems. Zbl 1470.34052 Favini, A.; Lorenzi, A.; Tanabe, H. 2 2015 A general approach to identification problems. Zbl 1391.35415 Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki 1 2014 Direct and inverse problems for systems of singular differential boundary-value problems. Zbl 1286.35264 Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki 3 2012 Solutions of quasilinear wave equation with strong and nonlinear viscosity. Zbl 1222.35128 Hwang, Jin-Soo; Nakagiri, Shin-Ichi; Tanabe, Hiroki 1 2011 Degenerate integrodifferential equations of parabolic type with Robin boundary conditions: \(L^2\)-theory. Zbl 1166.45003 Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki 5 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 10 2008 Fréchet differentiability of solution mappings for semilinear second order evolution equations. Zbl 1158.34042 Ha, Junhong; Nakagiri, Shin-ichi; Tanabe, Hiroki 6 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 5 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 1 2008 Complete abstract differential equations of elliptic type in UMD spaces. Zbl 1387.35164 Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi 13 2006 Inverse and direct problems for nonautonomous degenerate integrodifferential equations of parabolic type with Dirichlet boundary conditions. Zbl 1106.45302 Lorenzi, Alfredo; Tanabe, Hiroki 6 2006 Degenerate integrodifferential equations of parabolic type. Zbl 1106.45301 Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki 4 2006 Study of elliptic differential equations in UMD spaces. Zbl 1114.34040 Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi 1 2006 An \(L^p\)-approach to singular linear parabolic equations in bounded domains. Zbl 1082.35073 Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki; Yagi, Atsushi 9 2005 Gâteaux differentiability of solution mappings for semilinear second-order evolution equations. Zbl 1094.34041 Ha, Junhong; Nakagiri, Shin-ichi; Tanabe, Hiroki 4 2005 Singular evolution integro-differential equations with kernels defined on bounded intervals. Zbl 1085.45008 Favini, A.; Lorenzi, A.; Tanabe, H. 4 2005 Unified study of elliptic problem in Hölder spaces. (Étude unifiée de problèmes elliptiques dans le cadre höldérien.) Zbl 1125.35329 Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi 3 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 8 2004 On the solvability of complete abstract differential equations of elliptic type. Zbl 1128.34319 Favini, Angelo; Labbas, Rabah; Tanabe, Hiroki; Yagi, Atsushi 2 2004 Singular integro-differential equations of parabolic type. Zbl 1033.45010 Favini, Angelo; Lorenzi, Alfredo; Tanabe, Hiroki 12 2002 Degenerate Volterra equations in Banach spaces. Zbl 1013.45005 Favini, Angelo; Tanabe, Hiroki 2 2001 Degenerate Volterra equations in Banach spaces. Zbl 0974.45009 Favini, Angelo; Tanabe, Hiroki 1 2000 Singular differential equations with delay. Zbl 1022.35080 Favini, Angelo; Pandolfi, Luciano; Tanabe, Hiroki 3 1999 Functional analytic methods for partial differential equations. Zbl 0867.35003 Tanabe, Hiroki 134 1997 Structural operators and eigenmanifold decomposition for functional differential equations in Hilbert spaces. Zbl 0906.47033 Nakagiri, Shin-ichi; Tanabe, Hiroki 3 1996 Structural operators and semigroups associated with functional differential equations in Hilbert spaces. Zbl 0818.47039 Jeong, Jin-Mun; Nakagiri, Shin-ichi; Tanabe, Hiroki 5 1993 Fundamental solutions for linear retarded functional differential equations in Banach space. Zbl 0771.34060 Tanabe, Hiroki 11 1992 On fundamental solution of differential equation with time delay in Banach space. Zbl 0658.34056 Tanabe, Hiroki 6 1988 Structural operators for linear delay-differential equations in Hilbert space. Zbl 0668.45013 Tanabe, Hiroki 4 1988 On fundamental solutions of linear parabolic equations of higher order in time and associated Volterra equations. Zbl 0673.35042 Tanabe, Hiroki 1 1988 Volterra integro-differential equations of parabolic type of higher order in t. Zbl 0628.45008 Tanabe, Hiroki 2 1987 On the asymptotic behavior of solutions of linear parabolic equations in \(L^ 1\) space. Zbl 0676.35036 Park, Dong Gun; Tanabe, Hiroki 1 1987 Remarks on linear Volterra integral equations of parabolic type. Zbl 0584.45011 Tanabe, Hiroki 4 1985 Linear Volterra integral equations of parabolic type. Zbl 0523.45007 Tanabe, Hiroki 4 1983 Differentiability of solutions of some unilateral problem of parabolic type. Zbl 0469.47049 Tanabe, Hiroki 3 1981 Note on nonlinear Volterra integral equation in Hilbert space. Zbl 0457.45008 Tanabe, Hiroki 2 1980 Equations of evolution. Translated from Japanese by N. Mugibayashi and H. Haneda. Zbl 0417.35003 Tanabe, Hiroki 520 1979 On some unilateral problem of elliptic and parabolic type. Zbl 0405.35017 Tanabe, Hiroki 1 1978 On some parabolic equations of evolution in Hilbert space. Zbl 0267.34060 Fujie, Yoshitaka; Tanabe, Hiroki 2 1973 On Green’s functions of elliptic and parabolic boundary value problems. Zbl 0277.35042 Tanabe, Hiroki 10 1972 On remainder estimates in the asymptotic formula of the distribution of eigenvalues of elliptic operators. Zbl 0252.35052 Tanabe, Hiroki 1 1972 On the asymptotic distribution of eigenvalues of operators associated with strongly elliptic sesquilinear forms. Zbl 0227.35073 Maruo, Kenji; Tanabe, Hiroki 10 1971 On the asymptotic distribution of eigenvalues of operators associated with strongly elliptic sesquilinear forms. Zbl 0225.35074 Maruo, Kenji; Tanabe, Hiroki 2 1971 On regularity of solutions of abstract differential equations. Zbl 0201.42801 Tanabe, H. 10 1970 On the analyticity of solution of evolution equations. Zbl 0154.16403 Kato, Tosio; Tanabe, H. 15 1967 On regularity of solutions of abstract differential equations of parabolic type in Banach space. Zbl 0153.45303 Tanabe, H. 4 1967 Note on perturbation and degeneration of abstract differential equations in Banach space. Zbl 0186.47203 Tanabe, H.; Watanabe, Michiaki 2 1966 On estimates for derivatives of solutions of weighted elliptic boundary value problems. Zbl 0143.14301 Tanabe, Hiroki 1 1966 On differentiability and analyticity of solutions of weighted elliptic boundary value problems. Zbl 0151.15201 Tanabe, H. 7 1965 Note on uniqueness of solutions of differential inequalities of parabolic type. Zbl 0144.35101 Tanabe, Hiroki 1 1965 Note on singular perturbation for abstract differential equations. Zbl 0135.37101 Tanabe, Hiroki 11 1964 On differentiability in time of solutions of some type of boundary value problems. Zbl 0144.14201 Tanabe, H. 2 1964 On the abstract evolution equation. Zbl 0106.09302 Kato, Tosio; Tanabe, Hiroki 75 1962 Evolution equations. Zbl 0123.31903 Tanabe, Hiroki 3 1962 Evolutional equations of parabolic type. Zbl 0104.34002 Tanabe, Hiroki 16 1961 Convergence to a stationary state of the solution of some and of differential equations in a Banach space. Zbl 0123.10402 Tanabe, Hiroki 8 1961 On the equations of evolution in a Banach space. Zbl 0098.31301 Tanabe, Hiroki 68 1960 Remarks on the equations of evolution in a Banach space. Zbl 0098.31202 Tanabe, Hiroki 26 1960 A class of the equations of evolution in a Banach space. Zbl 0098.31201 Tanabe, Hiroki 19 1959 all cited Publications top 5 cited Publications all top 5 Cited by 891 Authors 36 Favini, Angelo 25 Tanabe, Hiroki 23 Jeong, Jin-Mun 16 Da Prato, Giuseppe 14 Labbas, Rabah 12 Guidetti, Davide 12 Kozono, Hideo 12 Liu, Kai 11 Al-Horani, Mohammed 11 Lorenzi, Alfredo 11 Maingot, Stéphane 11 Papageorgiou, Nikolaos S. 9 Amann, Herbert 9 Chen, Pengyu 9 Fiedler, Bernold 9 Rocha, Carlos 9 Rosen, I. Gary 9 Yamamoto, Masahiro 9 Zhang, Xuping 8 Ito, Kazufumi 8 Li, Yongxiang 8 Miyazaki, Yoichi 8 Nakagiri, Shin-ichi 8 Shibata, Yoshihiro 8 Suzuki, Takashi 8 Terreni, Brunello 7 Acquistapace, Paolo 7 Carroll, Robert Wayne 7 Friedman, Avner 7 Giga, Yoshikazu 7 Luczak, Susan E. 7 Medeghri, Ahmed 6 Ezzinbi, Khalil 6 Gil’, Michael Iosif 6 Goldstein, Jerome Arthur 6 Kunisch, Karl 6 Laasri, Hafida 6 Piasecki, Tomasz 6 Roidos, Nikolaos 6 Schnaubelt, Roland 6 Veraar, Mark C. 6 Yagi, Atsushi 5 Curtain, Ruth Frances 5 Fukuda, Ellen Hidemi 5 Henríquez, Hernán R. 5 Hishida, Toshiaki 5 Ichikawa, Akira 5 Johnsen, Jon 5 Lunardi, Alessandra 5 Mimura, Masayasu 5 Ogawa, Takayoshi 5 Park, Jong Yeoul 5 Vuillermot, Pierre-A. 5 Zatorska, Ewelina 4 Ahmed, Nasir Uddin 4 Altman, Mieczyslaw 4 Arendt, Wolfgang 4 Avgerinos, Evgenios P. 4 Breiten, Tobias 4 Brzeźniak, Zdzisław 4 Cannarsa, Piermarco 4 Chill, Ralph 4 Fabiano, Richard H. 4 Farwig, Reinhard 4 Grobbelaar-Van Dalsen, Marié 4 Haloi, Rajib 4 Ju, Eun Young 4 Kostić, Marko 4 Kotelenez, Peter M. 4 Matsumoto, Toshitaka 4 Nascimento, Marcelo Jose Dias 4 Ozawa, Tohru 4 Park, Dong-Gun 4 Pfeiffer, Laurent 4 Poppenberg, Markus 4 Sohr, Hermann 4 Tanaka, Naoki 4 Thorel, Alexandre 4 Yamada, Yoshio 4 Yamashita, Nobuo 4 Zagrebnov, Valentin A. 3 Abe, Ken 3 Aihara, Shin’ichi 3 Bachelot, Alain 3 Bagchi, Arunabha 3 Belluzi, Maykel Boldrin 3 Boutaous, Fatiha 3 Cheon, Su-Jin 3 Dawson, Donald Andrew 3 Demetriou, Michael A. 3 Dieye, Moustapha 3 Diop, Amadou 3 Escher, Joachim 3 Fabrizio, Mauro 3 Favaron, Alberto 3 George, Raju K. 3 Goldstein, Gisèle Ruiz 3 Goldys, Beniamin 3 Gorostiza, Luis G. 3 Grimmer, Ronald ...and 791 more Authors all top 5 Cited in 228 Serials 76 Journal of Mathematical Analysis and Applications 62 Journal of Differential Equations 31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 30 Nonlinear Analysis. Theory, Methods & Applications 21 Journal of Functional Analysis 17 Journal of Evolution Equations 16 Journal of Optimization Theory and Applications 15 Applied Mathematics and Computation 15 Mathematische Zeitschrift 14 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Mathematische Annalen 13 Applicable Analysis 13 Semigroup Forum 12 Applied Mathematics and Optimization 12 Transactions of the American Mathematical Society 11 Stochastic Analysis and Applications 10 Archive for Rational Mechanics and Analysis 10 Abstract and Applied Analysis 9 Israel Journal of Mathematics 9 Mathematical Methods in the Applied Sciences 9 Proceedings of the Japan Academy. Series A 9 Rendiconti del Seminario Matematico della Università di Padova 7 Integral Equations and Operator Theory 7 Communications in Partial Differential Equations 7 Potential Analysis 7 Discrete and Continuous Dynamical Systems 7 Fractional Calculus & Applied Analysis 7 Journal of Mathematical Fluid Mechanics 7 Communications on Pure and Applied Analysis 7 Mediterranean Journal of Mathematics 7 Evolution Equations and Control Theory 6 Computers & Mathematics with Applications 6 Numerical Functional Analysis and Optimization 6 Systems & Control Letters 6 Journal of Dynamics and Differential Equations 6 Computational Optimization and Applications 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Discrete and Continuous Dynamical Systems. Series B 6 Proceedings of the Japan Academy 6 Discrete and Continuous Dynamical Systems. Series S 5 Communications in Mathematical Physics 5 International Journal of Control 5 Mathematische Nachrichten 5 SIAM Journal on Control and Optimization 5 Probability Theory and Related Fields 5 Stochastic Processes and their Applications 5 Nonlinear Analysis. Real World Applications 4 Journal d’Analyse Mathématique 4 Automatica 4 Journal of Computational and Applied Mathematics 4 Journal of Soviet Mathematics 4 Osaka Journal of Mathematics 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Results in Mathematics 4 Tôhoku Mathematical Journal. Second Series 4 Optimization 4 Japan Journal of Applied Mathematics 4 Japan Journal of Industrial and Applied Mathematics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Mathematical Analysis 4 Electronic Journal of Differential Equations (EJDE) 4 Journal of Inverse and Ill-Posed Problems 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Inverse Problems 3 Journal of Mathematical Physics 3 Nonlinearity 3 Stochastics 3 Mathematics of Computation 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Czechoslovak Mathematical Journal 3 Manuscripta Mathematica 3 Monatshefte für Mathematik 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Rendiconti del Seminario Matemàtico e Fisico di Milano 3 Zeitschrift für Analysis und ihre Anwendungen 3 Statistics & Probability Letters 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal of Theoretical Probability 3 MCSS. Mathematics of Control, Signals, and Systems 3 Journal of Integral Equations and Applications 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 The Journal of Analysis 3 Positivity 3 Acta Mathematica Sinica. English Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Bulletin de la Société Mathématique de France. Supplément. Mémoires 3 Science China. Mathematics 2 Journal of Mathematical Biology 2 Rocky Mountain Journal of Mathematics 2 Acta Mathematica 2 Advances in Mathematics 2 Archiv der Mathematik 2 BIT 2 Journal of the Mathematical Society of Japan 2 Kodai Mathematical Journal 2 Kyungpook Mathematical Journal 2 Siberian Mathematical Journal 2 Acta Mathematica Hungarica 2 Acta Applicandae Mathematicae ...and 128 more Serials all top 5 Cited in 45 Fields 512 Partial differential equations (35-XX) 294 Operator theory (47-XX) 212 Ordinary differential equations (34-XX) 112 Systems theory; control (93-XX) 91 Probability theory and stochastic processes (60-XX) 68 Fluid mechanics (76-XX) 62 Integral equations (45-XX) 57 Calculus of variations and optimal control; optimization (49-XX) 45 Functional analysis (46-XX) 45 Numerical analysis (65-XX) 40 Dynamical systems and ergodic theory (37-XX) 32 Biology and other natural sciences (92-XX) 28 Operations research, mathematical programming (90-XX) 18 Quantum theory (81-XX) 17 Global analysis, analysis on manifolds (58-XX) 17 Mechanics of deformable solids (74-XX) 11 Real functions (26-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 7 Potential theory (31-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Measure and integration (28-XX) 5 Abstract harmonic analysis (43-XX) 4 Topological groups, Lie groups (22-XX) 4 Difference and functional equations (39-XX) 4 Geophysics (86-XX) 3 Combinatorics (05-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Differential geometry (53-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year