Edit Profile (opens in new tab) Ōuchi, Sunao Author ID: ouchi.sunao Published as: Ōuchi, Sunao; Ouchi, Sunao Documents Indexed: 41 Publications since 1971 Co-Authors 41 single-authored all top 5 Serials 6 Journal of the Faculty of Science. Section I A 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Journal of the Mathematical Society of Japan 5 RIMS Kokyuroku 4 Proceedings of the Japan Academy. Series A 2 Funkcialaj Ekvacioj. Serio Internacia 2 Journal of Mathematical Sciences. University of Tokyo 2 Proceedings of the Japan Academy 1 Annales de l’Institut Fourier 1 Journal of Differential Equations 1 Asymptotic Analysis all top 5 Fields 36 Partial differential equations (35-XX) 4 Functions of a complex variable (30-XX) 4 Several complex variables and analytic spaces (32-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 172 times in 79 Documents Cited by ▼ Year ▼ Semi-groups of operators in locally convex spaces. Zbl 0252.47033Ouchi, S. 26 1973 Multisummability of formal solutions of some linear partial differential equations. Zbl 1020.35018Ōuchi, Sunao 25 2002 Genuine solutions and formal solutions with Gevrey type estimates of nonlinear partial differential equations. Zbl 0860.35018Ōuchi, Sunao 14 1995 Borel summability of formal solutions of some first order singular partial differential equations and normal forms of vector fields. Zbl 1082.35046Ōuchi, Sunao 10 2005 Formal solutions with Gevrey type estimates of nonlinear partial differential equations. Zbl 0810.35006Ōuchi, Sunao 9 1994 Characteristic Cauchy problems and solutions of formal power series. Zbl 0494.35017Ouchi, Sunao 9 1983 Multisummability of formal power series solutions of nonlinear partial differential equations in complex domains. Zbl 1152.35015Ōuchi, Sunao 8 2006 An integral representation of singular solutions of linear partial differential equations in the complex domain. Zbl 0439.35019Ouchi, Sunao 8 1980 Hyperfunction solutions of the abstract Cauchy problem. Zbl 0234.46045Ouchi, Sunao 7 1971 Singularities of solutions of equations with noninvolutive characteristics. I: The case of second order Fuchsian equations. Zbl 0780.35002Ōuchi, Sunao 6 1993 Index, localization and classification of characteristic surfaces for linear partial differential operators. Zbl 0558.35009Ōuchi, Sunao 5 1984 Existence of singular solutions and null solutions for linear partial differential operators. Zbl 0603.35014Ōuchi, Sunao 5 1985 Singular solutions with asymptotic expansion of linear partial differential equations in the complex domain. Zbl 0952.35004Ōuchi, Sunao 5 1998 Asymptotic behaviour of singular solutions of linear partial differential equations in the complex domain. Zbl 0441.35020Ouchi, Sunao 5 1980 Characteristic indices and subcharacteristic indices of surfaces for linear partial differential operators. Zbl 0514.58040Ouchi, Sunao 4 1981 Growth property and slowly increasing behaviour of singular solutions of linear partial differential equations in the complex domain. Zbl 0966.35006Ōuchi, Sunao 4 2000 Asymptotic expansion of singular solutions and the characteristic polygon of linear partial differential equations in the complex domain. Zbl 0984.35005Ōuchi, Sunao 4 2000 An integral representation of singular solutions and removable singularities of solutions to linear partial differential equations. Zbl 0751.35006Ōuchi, Sunao 3 1990 The behaviour near the characteristic surface of singular solutions of linear partial differential equations in the complex domain. Zbl 0706.35002Ōuchi, Sunao 3 1989 On the analyticity in time of solutions of initial boundary value problems for semi-linear parabolic differential equations with monotone nonlinearity. Zbl 0278.35053Ouchi, Sunao 3 1974 On some functional equations with Borel summable solutions. Zbl 1333.39017Ōuchi, Sunao 2 2015 Characteristic Cauchy problems and solutions of formal power series. Zbl 0467.35001Ouchi, Sunao 2 1980 On abstract Cauchy problems in the sense of hyperfunction. Zbl 0258.46041Ouchi, Sunao 2 1973 Solutions with singularities on a surface of linear partial differential equations. Zbl 0659.58045Ōuchi, Sunao 1 1986 Vanishing of singularities of solutions and an integral representation of singular solutions of linear partial differential equations. Zbl 0698.35029Ouchi, Sunao 1 1988 The behaviors of singular solutions of partial differential equations in some class in the complex domain. Zbl 1061.35007Ōuchi, Sunao 1 2003 On some functional equations with Borel summable solutions. Zbl 1333.39017Ōuchi, Sunao 2 2015 Multisummability of formal power series solutions of nonlinear partial differential equations in complex domains. Zbl 1152.35015Ōuchi, Sunao 8 2006 Borel summability of formal solutions of some first order singular partial differential equations and normal forms of vector fields. Zbl 1082.35046Ōuchi, Sunao 10 2005 The behaviors of singular solutions of partial differential equations in some class in the complex domain. Zbl 1061.35007Ōuchi, Sunao 1 2003 Multisummability of formal solutions of some linear partial differential equations. Zbl 1020.35018Ōuchi, Sunao 25 2002 Growth property and slowly increasing behaviour of singular solutions of linear partial differential equations in the complex domain. Zbl 0966.35006Ōuchi, Sunao 4 2000 Asymptotic expansion of singular solutions and the characteristic polygon of linear partial differential equations in the complex domain. Zbl 0984.35005Ōuchi, Sunao 4 2000 Singular solutions with asymptotic expansion of linear partial differential equations in the complex domain. Zbl 0952.35004Ōuchi, Sunao 5 1998 Genuine solutions and formal solutions with Gevrey type estimates of nonlinear partial differential equations. Zbl 0860.35018Ōuchi, Sunao 14 1995 Formal solutions with Gevrey type estimates of nonlinear partial differential equations. Zbl 0810.35006Ōuchi, Sunao 9 1994 Singularities of solutions of equations with noninvolutive characteristics. I: The case of second order Fuchsian equations. Zbl 0780.35002Ōuchi, Sunao 6 1993 An integral representation of singular solutions and removable singularities of solutions to linear partial differential equations. Zbl 0751.35006Ōuchi, Sunao 3 1990 The behaviour near the characteristic surface of singular solutions of linear partial differential equations in the complex domain. Zbl 0706.35002Ōuchi, Sunao 3 1989 Vanishing of singularities of solutions and an integral representation of singular solutions of linear partial differential equations. Zbl 0698.35029Ouchi, Sunao 1 1988 Solutions with singularities on a surface of linear partial differential equations. Zbl 0659.58045Ōuchi, Sunao 1 1986 Existence of singular solutions and null solutions for linear partial differential operators. Zbl 0603.35014Ōuchi, Sunao 5 1985 Index, localization and classification of characteristic surfaces for linear partial differential operators. Zbl 0558.35009Ōuchi, Sunao 5 1984 Characteristic Cauchy problems and solutions of formal power series. Zbl 0494.35017Ouchi, Sunao 9 1983 Characteristic indices and subcharacteristic indices of surfaces for linear partial differential operators. Zbl 0514.58040Ouchi, Sunao 4 1981 An integral representation of singular solutions of linear partial differential equations in the complex domain. Zbl 0439.35019Ouchi, Sunao 8 1980 Asymptotic behaviour of singular solutions of linear partial differential equations in the complex domain. Zbl 0441.35020Ouchi, Sunao 5 1980 Characteristic Cauchy problems and solutions of formal power series. Zbl 0467.35001Ouchi, Sunao 2 1980 On the analyticity in time of solutions of initial boundary value problems for semi-linear parabolic differential equations with monotone nonlinearity. Zbl 0278.35053Ouchi, Sunao 3 1974 Semi-groups of operators in locally convex spaces. Zbl 0252.47033Ouchi, S. 26 1973 On abstract Cauchy problems in the sense of hyperfunction. Zbl 0258.46041Ouchi, Sunao 2 1973 Hyperfunction solutions of the abstract Cauchy problem. Zbl 0234.46045Ouchi, Sunao 7 1971 all cited Publications top 5 cited Publications all top 5 Cited by 49 Authors 12 Malek, Stéphane 12 Ōuchi, Sunao 8 Lastra, Alberto 8 Remy, Pascal 5 Kostić, Marko 5 Sanz, Javier 4 Igari, Katsuju 3 Balser, Werner 3 Hibino, Masaki 3 Michalik, Sławomir 3 Pilipović, Stevan 2 Chen, Hua 2 Ichinobe, Kunio 2 Jiménez-Garrido, Javier 2 Luo, Zhuangchu 2 Łysik, Grzegorz 2 Pongérard, Patrice 2 Yoshino, Masafumi 1 Adak, Amal Kumar 1 Costin, Ovidiu 1 Domański, Pawel Jan 1 Furuya, Kiyoko 1 Garay, Mauricio D. 1 Gefter, Sergey L. 1 Getmanenko, Alexander 1 Kamimoto, Shingo 1 Keyantuo, Valentin 1 Kobayashi, Takao 1 Kochubeĭ, Anatoliĭ Naumovych 1 Kostov, Vladimir Petrov 1 Langenbruch, Michael 1 Liu, Shida 1 Liu, Shikuo 1 Lizama, Carlos 1 Lutz, Donald A. 1 Massey, Frank J. III 1 Miana, Pedro J. 1 Podhajecka, Bożena 1 Schäfke, Reinhard 1 Shirai, Akira 1 Tahara, Hidetoshi 1 Urabe, Jiichiroh 1 Velinov, Daniel 1 Vershynina, Anna 1 Watanabe, Takuya 1 Yamane, Hideshi 1 Yamazawa, Hiroshi 1 Yonemura, Akiyoshi 1 Zhang, Changgui all top 5 Cited in 30 Serials 12 Journal of Differential Equations 11 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Journal of Mathematical Analysis and Applications 7 Journal of Dynamical and Control Systems 5 Proceedings of the Japan Academy. Series A 3 Annales de l’Institut Fourier 3 Siberian Mathematical Journal 3 Abstract and Applied Analysis 2 Journal of the Mathematical Society of Japan 2 Results in Mathematics 2 Advances in Difference Equations 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Israel Journal of Mathematics 1 Arkiv för Matematik 1 Acta Scientiarum Mathematicarum 1 Applied Mathematics and Computation 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Asymptotic Analysis 1 Communications in Partial Differential Equations 1 Chinese Science Bulletin 1 Journal of Mathematical Sciences (New York) 1 Arnold Mathematical Journal all top 5 Cited in 17 Fields 62 Partial differential equations (35-XX) 12 Sequences, series, summability (40-XX) 10 Ordinary differential equations (34-XX) 10 Operator theory (47-XX) 7 Functions of a complex variable (30-XX) 6 Functional analysis (46-XX) 5 Integral transforms, operational calculus (44-XX) 4 Several complex variables and analytic spaces (32-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year