Edit Profile (opens in new tab) Yamazaki, Masao Co-Author Distance Author ID: yamazaki.masao Published as: Yamazaki, Masao Documents Indexed: 44 Publications since 1983 2 Contributions as Editor Co-Authors: 12 Co-Authors with 22 Joint Publications 380 Co-Co-Authors all top 5 Co-Authors 24 single-authored 15 Kozono, Hideo 2 Shibata, Yoshihiro 1 Abe, Takayuki 1 Amann, Herbert 1 Farwig, Reinhard 1 Fujiwara, Hayato 1 Giga, Yoshikazu 1 Okamoto, Hisashi 1 Schulz, Raphael 1 Sohr, Hermann 1 Yamazaki, Taeko 1 Zhou, Xiaofang all top 5 Serials 4 Comptes Rendus de l’Académie des Sciences. Série I 3 Proceedings of the Japan Academy. Series A 3 RIMS Kokyuroku 2 Journal of the Faculty of Science. Section I A 2 Japanese Journal of Mathematics. New Series 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Journal of Mathematical Fluid Mechanics 1 Houston Journal of Mathematics 1 Advances in Mathematics 1 Funkcialaj Ekvacioj. Serio Internacia 1 Hokkaido Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Osaka Journal of Mathematics 1 Asymptotic Analysis 1 Communications in Partial Differential Equations 1 Kyushu Journal of Mathematics 1 Advances in Differential Equations 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Nonlinear Analysis. Theory, Methods & Applications 1 Advances in Mathematical Fluid Mechanics 1 SN Partial Differential Equations and Applications all top 5 Fields 45 Partial differential equations (35-XX) 16 Fluid mechanics (76-XX) 13 Functional analysis (46-XX) 7 Operator theory (47-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 676 times in 498 Documents Cited by ▼ Year ▼ Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data. Zbl 0803.35068 Kozono, Hideo; Yamazaki, Masao 228 1994 The Navier-Stokes equations in the weak-\(L^n\) space with time-dependent external force. Zbl 0965.35118 Yamazaki, Masao 115 2000 A quasi-homogeneous version of paradifferential operators. I: Boundedness on spaces of Besov type. Zbl 0608.47058 Yamazaki, Masao 56 1986 Uniqueness criterion of weak solutions to the stationary Navier-Stokes equations in exterior domains. Zbl 0934.35123 Kozono, Hideo; Yamazaki, Masao 36 1999 Local and global unique solvability of the Navier-Stokes exterior problem with Cauchy data in the space \(L^{n,\infty}\). Zbl 0848.35099 Kozono, Hideo; Yamazaki, Masao 34 1995 The stability of small stationary solutions in Morrey spaces of the Navier-Stokes equation. Zbl 0853.35089 Kozono, Hideo; Yamazaki, Masao 34 1995 Exterior problem for the stationary Navier-Stokes equations in the Lorentz space. Zbl 0965.35117 Kozono, Hideo; Yamazaki, Masao 33 1998 On a larger class of stable solutions to the Navier-Stokes equations in exterior domains. Zbl 0922.35119 Kozono, Hideo; Yamazaki, Masao 25 1998 The stationary Navier-Stokes equation on the whole plane with external force with antisymmetry. Zbl 1205.35214 Yamazaki, Masao 15 2009 Representation formula, net force and energy relation to the stationary Navier-Stokes equations in 3-dimensional exterior domains. Zbl 0890.35102 Kozono, Hideo; Sohr, Hermann; Yamazaki, Masao 12 1997 The \(L^ p\)-boundedness of pseudodifferential operators with estimates of parabolic type and product type. Zbl 0578.47041 Yamazaki, Masao 12 1986 A quasi-homogeneous version of paradifferential operators. II: A symbol calculus. Zbl 0659.47045 Yamazaki, Masao 12 1986 Solutions in the Morrey spaces of the Navier-Stokes equation with time-dependent external force. Zbl 1142.35547 Yamazaki, Masao 9 2000 Uniform estimates in the velocity at infinity for stationary solutions to the Navier-Stokes exterior problem. Zbl 1152.35459 Shibata, Yoshihiro; Yamazaki, Masao 8 2005 Two-dimensional stationary Navier-Stokes equations with 4-cyclic symmetry. Zbl 1359.35137 Yamazaki, Masao 6 2016 Existence and uniqueness of weak solutions to the two-dimensional stationary Navier-Stokes exterior problem. Zbl 1406.35241 Yamazaki, Masao 4 2018 Semilinear heat equations with distributions in Morrey spaces as initial data. Zbl 0993.35043 Yamazaki, Masao; Zhou, Xiaofang 4 2001 On the microlocal smoothing effect of dispersive partial differential equations. I: Second-order linear equations. Zbl 0683.35010 Yamazaki, Masao 4 1989 A quasi-homogeneous version of the microlocal analysis for nonlinear partial differential equations. Zbl 0701.35162 Yamazaki, Masao 3 1988 Rate of convergence to the stationary solution of the Navier-Stokes exterior problem. Zbl 1338.35339 Yamazaki, Masao 3 2016 Boundedness of product type pseudodifferential operators on spaces of Besov type. Zbl 0638.35090 Yamazaki, Masao 3 1987 Exterior problem for the Navier-Stokes equations, existence, uniqueness and stability of stationary solutions. Zbl 0932.35164 Kozono, Hideo; Yamazaki, Masao 2 1998 The \(L^ p\)-boundedness of pseudo-differential operators satisfying estimates of parabolic type and product type. Zbl 0587.35088 Yamazaki, Masao 2 1984 Semilinear heat equations and the Navier-Stokes equation with distributions as initial data. Zbl 0793.35070 Kozono, Hideo; Yamazaki, Masao 2 1993 Continuité des opérateurs pseudo-différentiels et para- différentiels dans les espaces de Besov et les espaces de Triebel- Lizorkin non-isotropes. Zbl 0542.35084 Yamazaki, Masao 2 1983 The \(L^ p\)-boundedness of pseudo-differential operators satisfying estimates of parabolic type and product type. II. Zbl 0613.35081 Yamazaki, Masao 2 1985 The Helmholtz decomposition in Sobolev and Besov spaces. Zbl 1141.46319 Fujiwara, Hayato; Yamazaki, Masao 2 2006 The exterior problem for the non-stationary Navier-Stokes equation with data in the space \(L^{n,\infty}\). Zbl 0834.35099 Kozono, Hideo; Yamazaki, Masao 1 1995 The Navier-Stokes exterior problem with Cauchy data in the space \(L^{n,\infty}\). Zbl 0843.35075 Kozono, Hideo; Yamazaki, Masao 1 1995 Small stable stationary solutions in Morrey spaces of the Navier-Stokes equation. Zbl 0853.35088 Kozono, Hideo; Yamazaki, Masao 1 1995 The Navier-Stokes equation with distributions as initial data and application to self-similar solutions. Zbl 0874.35087 Kozono, Hideo; Yamazaki, Masao 1 1997 Régularité microlocale quasi homogène des solutions d’équations aux dérivées partielles nonlinéaires. (Quasi homogeneous microlocal regularity of solutions of nonlinear partial differential equations). Zbl 0592.35010 Yamazaki, Masao 1 1984 On some stability theorem of the Navier-Stokes equation in the three dimensional exterior domain. Zbl 0968.35511 Shibata, Yoshihiro; Yamazaki, Masao 1 2000 Concentration-diffusion phenomena of heat convection in an incompressible fluid. Zbl 1294.35095 Farwig, Reinhard; Schulz, Raphael; Yamazaki, Masao 1 2014 On a stationary problem of the Stokes equation in an infinite layer in Sobolev and Besov spaces. Zbl 1261.35117 Abe, Takayuki; Yamazaki, Masao 1 2010 Existence and uniqueness of weak solutions to the two-dimensional stationary Navier-Stokes exterior problem. Zbl 1406.35241 Yamazaki, Masao 4 2018 Two-dimensional stationary Navier-Stokes equations with 4-cyclic symmetry. Zbl 1359.35137 Yamazaki, Masao 6 2016 Rate of convergence to the stationary solution of the Navier-Stokes exterior problem. Zbl 1338.35339 Yamazaki, Masao 3 2016 Concentration-diffusion phenomena of heat convection in an incompressible fluid. Zbl 1294.35095 Farwig, Reinhard; Schulz, Raphael; Yamazaki, Masao 1 2014 On a stationary problem of the Stokes equation in an infinite layer in Sobolev and Besov spaces. Zbl 1261.35117 Abe, Takayuki; Yamazaki, Masao 1 2010 The stationary Navier-Stokes equation on the whole plane with external force with antisymmetry. Zbl 1205.35214 Yamazaki, Masao 15 2009 The Helmholtz decomposition in Sobolev and Besov spaces. Zbl 1141.46319 Fujiwara, Hayato; Yamazaki, Masao 2 2006 Uniform estimates in the velocity at infinity for stationary solutions to the Navier-Stokes exterior problem. Zbl 1152.35459 Shibata, Yoshihiro; Yamazaki, Masao 8 2005 Semilinear heat equations with distributions in Morrey spaces as initial data. Zbl 0993.35043 Yamazaki, Masao; Zhou, Xiaofang 4 2001 The Navier-Stokes equations in the weak-\(L^n\) space with time-dependent external force. Zbl 0965.35118 Yamazaki, Masao 115 2000 Solutions in the Morrey spaces of the Navier-Stokes equation with time-dependent external force. Zbl 1142.35547 Yamazaki, Masao 9 2000 On some stability theorem of the Navier-Stokes equation in the three dimensional exterior domain. Zbl 0968.35511 Shibata, Yoshihiro; Yamazaki, Masao 1 2000 Uniqueness criterion of weak solutions to the stationary Navier-Stokes equations in exterior domains. Zbl 0934.35123 Kozono, Hideo; Yamazaki, Masao 36 1999 Exterior problem for the stationary Navier-Stokes equations in the Lorentz space. Zbl 0965.35117 Kozono, Hideo; Yamazaki, Masao 33 1998 On a larger class of stable solutions to the Navier-Stokes equations in exterior domains. Zbl 0922.35119 Kozono, Hideo; Yamazaki, Masao 25 1998 Exterior problem for the Navier-Stokes equations, existence, uniqueness and stability of stationary solutions. Zbl 0932.35164 Kozono, Hideo; Yamazaki, Masao 2 1998 Representation formula, net force and energy relation to the stationary Navier-Stokes equations in 3-dimensional exterior domains. Zbl 0890.35102 Kozono, Hideo; Sohr, Hermann; Yamazaki, Masao 12 1997 The Navier-Stokes equation with distributions as initial data and application to self-similar solutions. Zbl 0874.35087 Kozono, Hideo; Yamazaki, Masao 1 1997 Local and global unique solvability of the Navier-Stokes exterior problem with Cauchy data in the space \(L^{n,\infty}\). Zbl 0848.35099 Kozono, Hideo; Yamazaki, Masao 34 1995 The stability of small stationary solutions in Morrey spaces of the Navier-Stokes equation. Zbl 0853.35089 Kozono, Hideo; Yamazaki, Masao 34 1995 The exterior problem for the non-stationary Navier-Stokes equation with data in the space \(L^{n,\infty}\). Zbl 0834.35099 Kozono, Hideo; Yamazaki, Masao 1 1995 The Navier-Stokes exterior problem with Cauchy data in the space \(L^{n,\infty}\). Zbl 0843.35075 Kozono, Hideo; Yamazaki, Masao 1 1995 Small stable stationary solutions in Morrey spaces of the Navier-Stokes equation. Zbl 0853.35088 Kozono, Hideo; Yamazaki, Masao 1 1995 Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data. Zbl 0803.35068 Kozono, Hideo; Yamazaki, Masao 228 1994 Semilinear heat equations and the Navier-Stokes equation with distributions as initial data. Zbl 0793.35070 Kozono, Hideo; Yamazaki, Masao 2 1993 On the microlocal smoothing effect of dispersive partial differential equations. I: Second-order linear equations. Zbl 0683.35010 Yamazaki, Masao 4 1989 A quasi-homogeneous version of the microlocal analysis for nonlinear partial differential equations. Zbl 0701.35162 Yamazaki, Masao 3 1988 Boundedness of product type pseudodifferential operators on spaces of Besov type. Zbl 0638.35090 Yamazaki, Masao 3 1987 A quasi-homogeneous version of paradifferential operators. I: Boundedness on spaces of Besov type. Zbl 0608.47058 Yamazaki, Masao 56 1986 The \(L^ p\)-boundedness of pseudodifferential operators with estimates of parabolic type and product type. Zbl 0578.47041 Yamazaki, Masao 12 1986 A quasi-homogeneous version of paradifferential operators. II: A symbol calculus. Zbl 0659.47045 Yamazaki, Masao 12 1986 The \(L^ p\)-boundedness of pseudo-differential operators satisfying estimates of parabolic type and product type. II. Zbl 0613.35081 Yamazaki, Masao 2 1985 The \(L^ p\)-boundedness of pseudo-differential operators satisfying estimates of parabolic type and product type. Zbl 0587.35088 Yamazaki, Masao 2 1984 Régularité microlocale quasi homogène des solutions d’équations aux dérivées partielles nonlinéaires. (Quasi homogeneous microlocal regularity of solutions of nonlinear partial differential equations). Zbl 0592.35010 Yamazaki, Masao 1 1984 Continuité des opérateurs pseudo-différentiels et para- différentiels dans les espaces de Besov et les espaces de Triebel- Lizorkin non-isotropes. Zbl 0542.35084 Yamazaki, Masao 2 1983 all cited Publications top 5 cited Publications all top 5 Cited by 424 Authors 24 Kozono, Hideo 21 Yang, Dachun 20 Haroske, Dorothee D. 19 Yuan, Wen 18 Sawano, Yoshihiro 17 Ferreira, Lucas Catão de Freitas 17 Skrzypczak, Leszek 16 Sickel, Winfried 15 Farwig, Reinhard 15 Nguyen Thieu Huy 14 Galdi, Giovanni Paolo 12 Shimizu, Senjo 12 Vu Thi Ngoc Ha 10 Hishida, Toshiaki 10 Yamazaki, Masao 9 Iwabuchi, Tsukasa 9 Lemarié-Rieusset, Pierre Gilles 9 Taniuchi, Yasushi 9 Yang, Minghua 8 Drihem, Douadi 8 Johnsen, Jon 8 Moussai, Madani 8 Xu, Jiang 7 Karch, Grzegorz 7 Kim, Hyunseok 7 Maremonti, Paolo 7 Domingues de Moura, Susana 7 Takada, Ryo 6 Danchin, Raphaël 6 Ishige, Kazuhiro 6 Nakatsuka, Tomoyuki 6 Sun, Jinyi 6 Villamizar-Roa, Elder Jesús 5 Allalou, Chakir 5 Chang, Tongkeun 5 Cuevas, Claudio 5 de Almeida, Marcelo Fernandes 5 Fu, Zunwei 5 Hakim, Denny Ivanal 5 Iftimie, Dragoş 5 Jin, Bumja 5 Pham, Truong Xuan 5 Sohr, Hermann 5 Tsai, Tai-Peng 5 Zhuo, Ciqiang 4 Azanzal, Achraf 4 Garello, Gianluca 4 Guillod, Julien 4 Hieber, Matthias 4 Korobkov, Mikhail V. 4 Kyed, Mads 4 Nielsen, Morten 4 Ogawa, Takayoshi 4 Okabe, Takahiro 4 Park, Bae Jun 4 Pérez-López, Jhean E. 4 Shi, Weixuan 4 Takahashi, Jin 3 Barker, Tobias 3 Cannone, Marco 3 Cui, Shangbin 3 Eiter, Thomas Walter 3 Giga, Yoshikazu 3 Grafakos, Loukas 3 Grubb, Gerd 3 Heck, Horst 3 Higaki, Mitsuo 3 Hisa, Kotaro 3 Hovemann, Marc 3 Lima, Lidiane S. M. 3 Liu, Jun 3 Lu, Yufeng 3 Maekawa, Yasunori 3 Mahalov, Alex 3 Melliani, Said 3 Miura, Hideyuki 3 Morando, Alessandro 3 Munch Hansen, S. 3 Naibo, Virginia 3 Neustupa, Jiří 3 Ozawa, Tohru 3 Phan, Tuoc Van 3 Pilarczyk, Dominika 3 Precioso, Juliana C. P. 3 Rodríguez-Bernal, Aníbal 3 Schneider, Cornelia 3 Shibata, Yoshihiro 3 Tanaka, Hitoshi 3 Trinh Viet Duoc 3 Tsuda, Kazuyuki 3 Tsutsui, Yohei 3 Van Nguyen, Thi 3 Vu, Thi Mai 3 Wang, Henggeng 3 Xuan, Pham Truong 2 Almeida, Alexandre 2 Aurazo-Alvarez, Leithold L. 2 Azevedo, Joelma 2 Bedrossian, Jacob 2 Bezerra, Mario ...and 324 more Authors all top 5 Cited in 139 Serials 29 Journal of Differential Equations 27 Journal of Mathematical Analysis and Applications 23 Journal of Mathematical Fluid Mechanics 19 Mathematische Nachrichten 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Journal of Functional Analysis 15 Journal of Evolution Equations 14 Archive for Rational Mechanics and Analysis 11 Mathematische Annalen 9 Communications in Mathematical Physics 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Acta Mathematica Sinica. English Series 9 Science China. Mathematics 8 Zeitschrift für Analysis und ihre Anwendungen 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Communications in Partial Differential Equations 7 The Journal of Fourier Analysis and Applications 6 Archiv der Mathematik 6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 6 Journal of Elliptic and Parabolic Equations 5 Applicable Analysis 5 Mathematical Methods in the Applied Sciences 5 Advances in Mathematics 5 Transactions of the American Mathematical Society 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Journal of Mathematical Physics 4 Czechoslovak Mathematical Journal 4 Journal of Approximation Theory 4 Monatshefte für Mathematik 4 Proceedings of the Japan Academy. Series A 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Revista Matemática Complutense 4 Discrete and Continuous Dynamical Systems. Series B 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Communications on Pure and Applied Analysis 4 Journal of Pseudo-Differential Operators and Applications 4 SN Partial Differential Equations and Applications 3 Analysis Mathematica 3 Computers & Mathematics with Applications 3 Nonlinearity 3 Chaos, Solitons and Fractals 3 Journal of the London Mathematical Society. Second Series 3 Journal of the Mathematical Society of Japan 3 Manuscripta Mathematica 3 Mathematische Zeitschrift 3 SIAM Journal on Mathematical Analysis 3 Electronic Journal of Differential Equations (EJDE) 3 Discrete and Continuous Dynamical Systems 3 Communications in Contemporary Mathematics 3 Analysis and Applications (Singapore) 2 Communications on Pure and Applied Mathematics 2 Studia Mathematica 2 Acta Mathematica Vietnamica 2 Annales Polonici Mathematici 2 Duke Mathematical Journal 2 Functiones et Approximatio. Commentarii Mathematici 2 Indiana University Mathematics Journal 2 Proceedings of the American Mathematical Society 2 Results in Mathematics 2 Tôhoku Mathematical Journal. Second Series 2 Acta Applicandae Mathematicae 2 Physica D 2 Acta Mathematicae Applicatae Sinica. English Series 2 The Journal of Geometric Analysis 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Potential Analysis 2 Applied Mathematics. Series B (English Edition) 2 Calculus of Variations and Partial Differential Equations 2 Taiwanese Journal of Mathematics 2 Analysis (München) 2 Nonlinear Analysis. Real World Applications 2 Journal of Function Spaces and Applications 2 Complex Variables and Elliptic Equations 2 Proceedings of the Steklov Institute of Mathematics 2 Analysis and Mathematical Physics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Lithuanian Mathematical Journal 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Bulletin de la Société Mathématique de France 1 Collectanea Mathematica 1 Colloquium Mathematicum 1 International Journal of Mathematics and Mathematical Sciences 1 Matematički Vesnik 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Ricerche di Matematica 1 Constructive Approximation 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Journal of Integral Equations and Applications 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Journal of Partial Differential Equations ...and 39 more Serials all top 5 Cited in 31 Fields 386 Partial differential equations (35-XX) 242 Fluid mechanics (76-XX) 130 Functional analysis (46-XX) 98 Harmonic analysis on Euclidean spaces (42-XX) 54 Operator theory (47-XX) 23 Biology and other natural sciences (92-XX) 7 Approximations and expansions (41-XX) 7 Mechanics of deformable solids (74-XX) 6 Real functions (26-XX) 6 Functions of a complex variable (30-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Ordinary differential equations (34-XX) 4 Integral equations (45-XX) 4 Geophysics (86-XX) 3 History and biography (01-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year