Edit Profile (opens in new tab) Giga, Yoshikazu Co-Author Distance Author ID: giga.yoshikazu Published as: Giga, Yoshikazu; Giga, Y. Homepage: https://www.ms.u-tokyo.ac.jp/~ygiga/index.html External Links: MGP · Wikidata · Google Scholar · ResearchGate · dblp · IdRef · theses.fr Documents Indexed: 266 Publications since 1981, including 3 Books and 11 Additional arXiv Preprints 19 Contributions as Editor Biographic References: 2 Publications Co-Authors: 159 Co-Authors with 257 Joint Publications 3,543 Co-Co-Authors all top 5 Co-Authors 28 single-authored 28 Giga, Mi-Ho 19 Rybka, Piotr 12 Matsui, Shin’ya 11 Hieber, Matthias 10 Goto, Shun’ichi 9 Mahalov, Alex 9 Mitake, Hiroyoshi 9 Umeda, Noriaki 8 Aviles, Patricio 8 Inui, Katsuya 8 Kuroda, Hirotoshi 8 Saal, Jürgen 7 Chen, Yungang 7 Kashiwabara, Takahito 7 Sato, Moto-Hiko 6 Gu, Zhongyang 6 Hussein, Amru 6 Liu, Qing 6 Miyakawa, Tetsuro 6 Požár, Norbert 6 Yoshida, Zensho 5 Abe, Ken 5 Hsu, Pen-Yuan 5 Kohn, Robert Vita 5 Mizoguchi, Noriko 5 Ohtsuka, Takeshi 5 Suzuki, Takuya 5 Titi, Edriss Saleh 4 Bolkart, Martin 4 Elliott, Charles M. 4 Eto, Tokuhiro 4 Farwig, Reinhard 4 Górka, Przemysław 4 Gries, Mathis Yannik 4 Hamamuki, Nao 4 Hontani, Hidekata 4 Ishii, Hitoshi 4 Ito, Kazuo 4 Kobayashi, Ryo 4 Kozono, Hideo 4 Liu, Chun 4 Okamoto, Jun 4 Tran Vinh Hung 4 Tsai, Yen-Hsi Richard 4 Uesaka, Masaaki 3 Deguchi, Koichiro 3 Furukawa, Ken 3 Hinze, Michael 3 Łasica, Michał 3 Sakakibara, Koya 3 Sawada, Okihiro 3 Schade, Katharina Clara 3 Seki, Yukihiro 3 Sohr, Hermann 3 Styles, Vanessa 3 Yamauchi, Kazuyuki 3 Yoneda, Tsuyoshi 2 Amann, Herbert 2 Dohmen, Claus 2 Escher, Joachim 2 Giga, Mariko 2 Gurtin, Morton Edward 2 Ishii, Katsuyuki 2 Kajiwara, Naoto 2 Koba, Hajime 2 Korn, Peter 2 Miura, Tatsu-Hiko 2 Nakayasu, Atsushi 2 Ohnuma, Masaki 2 Okamoto, Hisashi 2 Osada, Hirofumi 2 Osher, Stanley Joel 2 Ozawa, Tohru 2 Sasayama, Satoshi 2 Sato, Koh 2 Shimizu, Yasuyuki 2 Tonegawa, Yoshihiro 2 Tsubouchi, Shuntaro 2 Tsutsui, Yohei 2 Ueda, Yuki 2 Wrona, Marc Philipp 2 Yamazaki, Noriaki 1 Agemi, Rentaro 1 Altschuler, Steven J. 1 Ambrosio, Luigi 1 Angenent, Sigurd Bernardus 1 Arisawa, Mariko 1 Asai, Tomoro 1 Bardi, Martino 1 Bian, Xingzhi 1 Ciepliński, Krzysztof 1 Denk, Robert 1 Endo, Masakazu 1 Friedman, Avner 1 Fukui, Toshihide 1 Geissert, Matthias 1 Götz, Dario 1 Hashimoto, Yoshiaki 1 Hitaka, Toshio 1 Honma, Mitsuru ...and 59 more Co-Authors all top 5 Serials 12 Archive for Rational Mechanics and Analysis 10 Proceedings of the Japan Academy. Series A 10 Communications in Partial Differential Equations 10 Discrete and Continuous Dynamical Systems 8 Advances in Mathematical Sciences and Applications 8 Advances in Differential Equations 8 RIMS Kokyuroku 7 SIAM Journal on Mathematical Analysis 7 Oberwolfach Reports 6 Indiana University Mathematics Journal 6 Journal of Differential Equations 6 Journal of Evolution Equations 5 Japan Journal of Industrial and Applied Mathematics 5 Differential and Integral Equations 5 Journal of Mathematical Fluid Mechanics 4 Communications on Pure and Applied Mathematics 4 Mathematische Zeitschrift 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Interfaces and Free Boundaries 4 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Communications in Mathematical Physics 3 Journal of Mathematical Analysis and Applications 3 Duke Mathematical Journal 3 Hokkaido Mathematical Journal 3 Quarterly of Applied Mathematics 3 Transactions of the American Mathematical Society 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Methods and Applications of Analysis 3 Communications on Pure and Applied Analysis 3 GAKUTO International Series. Mathematical Sciences and Applications 2 Journal of Statistical Physics 2 Funkcialaj Ekvacioj. Serio Internacia 2 Journal of Functional Analysis 2 Journal of the Mathematical Society of Japan 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Physica D 2 Sūgaku 2 Asymptotic Analysis 2 The Journal of Geometric Analysis 2 Potential Analysis 2 Calculus of Variations and Partial Differential Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Advanced Studies in Pure Mathematics 2 SN Partial Differential Equations and Applications 1 Discrete Applied Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Arkiv för Matematik 1 Mathematics of Computation 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Hiroshima Mathematical Journal 1 Journal of Differential Geometry 1 Journal of the Faculty of Science. Section I A 1 Journal of the Korean Mathematical Society 1 Mathematische Annalen 1 Numerische Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tamkang Journal of Mathematics 1 Journal of Scientific Computing 1 Sugaku Expositions 1 Acta Mathematica Universitatis Comenianae. New Series 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 NoDEA. Nonlinear Differential Equations and Applications 1 Communications in Applied Analysis 1 Abstract and Applied Analysis 1 Nonlinear Analysis. Real World Applications 1 International Journal of Pure and Applied Mathematics 1 Monographs in Mathematics 1 RIMS Kôkyûroku Bessatsu 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Calculus of Variations 1 Bulletin of Mathematical Sciences 1 Geometric Flows 1 Progress in Nonlinear Differential Equations and Their Applications 1 Advances in Mathematical Fluid Mechanics 1 Compact Textbooks in Mathematics all top 5 Fields 246 Partial differential equations (35-XX) 75 Fluid mechanics (76-XX) 45 Differential geometry (53-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 24 Mechanics of deformable solids (74-XX) 22 Operator theory (47-XX) 19 General and overarching topics; collections (00-XX) 15 Numerical analysis (65-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Statistical mechanics, structure of matter (82-XX) 13 Geophysics (86-XX) 7 Functional analysis (46-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 4 Ordinary differential equations (34-XX) 4 Probability theory and stochastic processes (60-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 231 Publications have been cited 5,249 times in 3,153 Documents Cited by ▼ Year ▼ Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system. Zbl 0577.35058 Giga, Yoshikazu 471 1986 Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains. Zbl 0739.35067 Giga, Yoshikazu; Sohr, Hermann 323 1991 Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. Zbl 0696.35087 Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi 317 1991 Asymptotically self-similar blow-up of semilinear heat equations. Zbl 0585.35051 Giga, Yoshikazu; Kohn, Robert V. 278 1985 Solutions in \(L_ r\) of the Navier-Stokes initial value problem. Zbl 0587.35078 Giga, Yoshikazu; Miyakawa, Tetsuro 201 1985 Characterizing blowup using similarity variables. Zbl 0601.35052 Giga, Yoshikazu; Kohn, Robert V. 191 1987 Surface evolution equations. A level set approach. Zbl 1096.53039 Giga, Yoshikazu 172 2006 Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces. Zbl 0473.35064 Giga, Yoshikazu 157 1981 Navier-Stokes flow in \(R^ 3\) with measures as initial vorticity and Morrey spaces. Zbl 0681.35072 Giga, Yoshikazu; Miyakawa, Tetsuro 152 1989 Nondegeneracy of blow up for semilinear heat equations. Zbl 0703.35020 Giga, Yoshikazu; Kohn, Robert V. 149 1989 Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains. Zbl 0836.35009 Giga, Y.; Goto, S.; Ishii, H.; Sato, M.-H. 104 1991 Domains of fractional powers of the Stokes operator in \(L_ r\) spaces. Zbl 0584.76037 Giga, Yoshikazu 103 1985 Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions. Zbl 1215.35001 Giga, Mi-Ho; Giga, Yoshikazu; Saal, Jürgen 83 2010 Two-dimensional Navier-Stokes flow with measures as initial vorticity. Zbl 0666.76052 Giga, Yoshikazu; Miyakawa, Tetsuro; Osada, Hirofumi 77 1988 A bound for global solutions of semilinear heat equations. Zbl 0595.35057 Giga, Yoshikazu 74 1986 Remarks on spectra of operator rot. Zbl 0676.47012 Yoshida, Zensho; Giga, Yoshikazu 69 1990 Blow up rate for semilinear heat equations with subcritical nonlinearity. Zbl 1058.35096 Giga, Yoshikazu; Matsui, Shin’ya; Sasayama, Satoshi 65 2004 Mean curvature flow through singularities for surfaces of rotation. Zbl 0847.58072 Altschuler, Steven; Angenent, Sigurd B.; Giga, Yoshikazu 61 1995 The Stokes operator in \(L_ R\) spaces. Zbl 0471.35069 Giga, Yoshikazu 53 1981 Analyticity of the Stokes semigroup in spaces of bounded functions. Zbl 1288.35383 Abe, Ken; Giga, Yoshikazu 46 2013 On lower semicontinuity of a defect energy obtained by a singular limit of the Ginzburg-Landau type energy for gradient fields. Zbl 0923.49008 Aviles, Patricio; Giga, Yoshikazu 46 1999 A single point blow-up for solutions of semilinear parabolic systems. Zbl 0648.35042 Friedman, Avner; Giga, Yoshikazu 45 1987 On the Cauchy problem for the Navier-Stokes equations with nondecaying initial data. Zbl 0961.35110 Giga, Yoshikazu; Inui, Katsuya; Matsui, Shin’ya 43 1999 On regularizing-decay rate estimates for solutions to the Navier-Stokes initial value problem. Zbl 1080.35072 Giga, Yoshikazu; Sawada, Okihiro 41 2003 Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity. Zbl 0992.35066 Giga, Y.; Matsui, S.; Sawada, O. 40 2001 Scale-invariant extinction time estimates for some singular diffusion equations. Zbl 1223.35211 Giga, Yoshikazu; Kohn, Robert V. 37 2011 The \(L^\infty\)-Stokes semigroup in exterior domains. Zbl 1293.35231 Abe, Ken; Giga, Yoshikazu 35 2014 Well-posedness of Hamilton-Jacobi equations with Caputo’s time fractional derivative. Zbl 1378.35324 Giga, Yoshikazu; Namba, Tokinaga 35 2017 Equations with singular diffusivity. Zbl 0952.74014 Kobayashi, R.; Giga, Y. 34 1999 Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data. Zbl 1159.35055 Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Saal, Jürgen 34 2008 On estimates in Hardy spaces for the Stokes flow in a half space. Zbl 0928.35118 Giga, Yoshikazu; Matsui, Shin’ya; Shimizu, Yasuyuki 32 1999 Energetic variational approaches for incompressible fluid systems on an evolving surface. Zbl 1358.37081 Koba, Hajime; Liu, Chun; Giga, Yoshikazu 32 2017 Large time behavior of the vorticity two-dimensional viscous flow and its application to vortex formation. Zbl 0661.76018 Giga, Yoshikazu; Kambe, Tsutomu 32 1988 Evolving graphs by singular weighted curvature. Zbl 0896.35069 Giga, Mi-Ho; Giga, Yoshikazu 32 1998 A kinetic construction of global solutions of first order quasilinear equations. Zbl 0519.35053 Giga, Yoshikazu; Miyakawa, Tetsuro 31 1983 Generalized motion by nonlocal curvature in the plane. Zbl 1004.35075 Giga, Mi-Ho; Giga, Yoshikazu 30 2001 Very singular diffusion equations: second and fourth order problems. Zbl 1213.35274 Giga, Mi-Ho; Giga, Yoshikazu 30 2010 Stokes resolvent estimates in spaces of bounded functions. (Estimations de la résolvante de Stokes dans les espaces des fonctions bornées.) Zbl 1328.35145 Abe, Ken; Giga, Yoshikazu; Hieber, Matthias 24 2015 Time and spatial analyticity of solutions of the Navier-Stokes equations. Zbl 0519.35067 Giga, Yoshikazu 24 1983 On blow-up at space infinity for semilinear heat equations. Zbl 1106.35029 Giga, Yoshikazu; Umeda, Noriaki 23 2006 Motion of hypersurfaces and geometric equations. Zbl 0739.53005 Giga, Yoshikazu; Goto, Shun’ichi 23 1992 Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. Zbl 0735.35082 Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi 23 1989 On vorticity directions near singularities for the Navier-Stokes flows with infinite energy. Zbl 1216.35087 Giga, Yoshikazu; Miura, Hideyuki 23 2011 Very singular diffusion equations. Zbl 1002.35074 Giga, Mi-Ho; Giga, Yoshikazu; Kobayashi, Ryo 22 2001 Motion of a graph by nonsmooth weighted curvature. Zbl 0860.35061 Fukui, Toshihide; Giga, Yoshikazu 22 1996 Navier-Stokes equations in a rotating frame in \(\mathbb R^3\) with initial data nondecreasing at infinity. Zbl 1192.35132 Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya 22 2006 Weak and strong solutions of the Navier-Stokes initial value problem. Zbl 0547.35101 Giga, Yoshikazu 22 1983 On blow-up rate for sign-changing solutions in a convex domain. Zbl 1066.35043 Giga, Yoshikazu; Matsui, Shin’ya; Sasayama, Satoshi 21 2004 A level set approach to semicontinuous viscosity solutions for Cauchy problems. Zbl 1005.49025 Giga, Yoshikazu; Sato, Moto-Hiko 20 2001 Interior derivative blow-up for quasilinear parabolic equations. Zbl 0878.35015 Giga, Yoshikazu 20 1995 A comparison theorem for crystalline evolution in the plane. Zbl 0862.35047 Giga, Yoshikazu; Gurtin, Morton E. 19 1996 Eikonal equations in metric spaces. Zbl 1332.35076 Giga, Yoshikazu; Hamamuki, Nao; Nakayasu, Atsushi 19 2015 Loss of convexity of simple closed curves moved by surface diffusion. Zbl 0921.35072 Giga, Yoshikazu; Ito, Kazuo 18 1999 Selfsimilar shrinking curves for anisotropic curvature flow equations. Zbl 0815.34026 Dohmen, Claus; Giga, Yoshikazu 18 1994 Existence of selfsimilar shrinking curves for anisotropic curvature flow equations. Zbl 0847.34042 Dohmen, Claus; Giga, Yoshikazu; Mizoguchi, Noriko 18 1996 Global existence of weak solutions for interface equations coupled with diffusion equations. Zbl 0754.35061 Giga, Yoshikazu; Goto, Shun’ichi; Ishii, Hitoshi 18 1992 The distance function and defect energy. Zbl 0878.49017 Aviles, Patricio; Giga, Yoshikazu 17 1996 On pinching of curves moved by surface diffusion. Zbl 0894.35049 Giga, Y.; Ito, K. 17 1998 Variational integrals on mappings of bounded variation and their lower semicontinuity. Zbl 0737.49011 Aviles, Patricio; Giga, Yoshikazu 17 1991 Crystalline and level set flow – convergence of a crystalline algorithm for a general anisotropic curvature flow in the plane. Zbl 0957.35122 Giga, Mi-Ho; Giga, Yoshikazu 16 2000 A Liouville theorem for the planer Navier-Stokes equations with the no-slip boundary condition and its application to a geometric regularity criterion. Zbl 1311.35044 Giga, Yoshikazu; Hsu, Pen-Yuan; Maekawa, Yasunori 16 2014 On the Ohm-Navier-Stokes system in magnetohydrodynamics. Zbl 0533.76125 Yoshida, Zensho; Giga, Yoshikazu 16 1983 Asymptotic behavior of type I blowup solutions to a parabolic-elliptic system of drift-diffusion type. Zbl 1270.35131 Giga, Yoshikazu; Mizoguchi, Noriko; Senba, Takasi 16 2011 Handbook of mathematical analysis in mechanics of viscous fluids. Zbl 1386.76001 15 2018 Neumann problem for singular degenerate parabolic equations. Zbl 0806.35098 Giga, Yoshikazu; Sato, Moto-Hiko 15 1993 Local solvability of a constrained gradient system of total variation. Zbl 1068.35054 Giga, Yoshikazu; Kashima, Yohei; Yamazaki, Noriaki 15 2004 Approximation of general facets by regular facets with respect to anisotropic total variation energies and its application to crystalline mean curvature flow. Zbl 1393.53060 Giga, Yoshikazu; Požár, Norbert 14 2018 On global weak solutions of the nonstationary two-phase Stokes flow. Zbl 0806.35137 Giga, Yoshikazu; Takahashi, Shuji 14 1994 On the equations of the two-component theory in magnetohydrodynamics. Zbl 0547.76122 Giga, Yoshikazu; Yoshida, Zensho 14 1984 Uniform local solvability for the Navier-Stokes equations with the Coriolis force. Zbl 1107.76023 Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya 14 2005 Hamilton-Jacobi equations with discontinuous source terms. Zbl 1263.35066 Giga, Yoshikazu; Hamamuki, Nao 14 2013 Blow-up directions at space infinity for solutions of semilinear heat equations. Zbl 1173.35531 Giga, Yoshikazu; Umeda, Noriaki 14 2005 Stability for evolving graphs by nonlocal weighted curvature. Zbl 0924.35177 Giga, Mi-Ho; Giga, Yoshikazu 13 1999 A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations. Zbl 1013.65088 Tsai, Yen-Hsi Richard; Giga, Yoshikazu; Osher, Stanley 13 2003 Analyticity of solutions to the primitive equations. Zbl 1523.35245 Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito 13 2020 On the dynamics of crystalline motions. Zbl 1306.74038 Giga, Yoshikazu; Gurtin, Morton E.; Matias, Jose’ 12 1998 Initial values for the Navier-Stokes equations in spaces with weights in time. Zbl 1364.35236 Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan 12 2016 On elliptic equations related to self-similar solutions for nonlinear heat equations. Zbl 0626.35033 Giga, Yoshikazu 12 1986 \(L^ p\) estimates for the Stokes system. Zbl 0804.47019 Giga, Mariko; Giga, Yoshikazu; Sohr, Hermann 12 1993 Self-similar expanding solutions in a sector for a crystalline flow. Zbl 1093.74048 Giga, Mi-Ho; Giga, Yoshikazu; Hontani, Hidekata 12 2006 A level set crystalline mean curvature flow of surfaces. Zbl 1375.35264 Giga, Yoshikazu; Požár, Norbert 12 2016 On a resolvent estimate for bidomain operators and its applications. Zbl 1380.35033 Giga, Yoshikazu; Kajiwara, Naoto 12 2018 The Cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data. Zbl 1170.35074 Giga, Y.; Mahalov, A.; Nicolaenko, B. 12 2007 Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier-Stokes equations. Zbl 1452.35150 Furukawa, Ken; Giga, Yoshikazu; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito; Wrona, Marc 12 2020 Periodic total variation flow of non-divergence type in \(\mathbb R^n\). Zbl 1319.35103 Giga, Mi-Ho; Giga, Yoshikazu; Požár, Norbert 11 2014 Remarks on the uniqueness of bounded solutions of the Navier-Stokes equations. Zbl 1042.35604 Giga, Yoshikazu; Inui, Katsuya; Kato, Jun; Matsui, Shin’ya 11 2001 Large-time asymptotics for one-dimensional Dirichlet problems for Hamilton-Jacobi equations with noncoercive Hamiltonians. Zbl 1230.35038 Giga, Yoshikazu; Liu, Qing; Mitake, Hiroyoshi 11 2012 A subdifferential interpretation of crystalline motion under nonuniform driving force. Zbl 1304.35674 Giga, Mi-Ho; Giga, Yoshikazu 11 1998 Rotating Navier-Stokes equations in \({\mathbb R}^{3}_{+}\) with initial data nondecreasing at infinity: The Ekman boundary layer problem. Zbl 1130.76025 Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya; Saal, Jürgen 11 2007 On asymptotic speed of solutions to level-set mean curvature flow equations with driving and source terms. Zbl 1355.35123 Giga, Yoshikazu; Mitake, Hiroyoshi; Tran, Hung V. 10 2016 On the motion by singular interfacial energy. Zbl 0984.35090 Giga, Yoshikazu; Paolini, Maurizio; Rybka, Piotr 10 2001 Bounded \(H^{\infty }\)-calculus for the hydrostatic Stokes operator on \(L^p\)-spaces and applications. Zbl 1480.35323 Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito 10 2017 Generalized interface evolution with the Neumann boundary condition. Zbl 0786.35076 Giga, Yoshikazu; Sato, Moto-Hiko 10 1991 A microscopic time scale approximation to the behavior of the local slope on the faceted surface under a nonuniformity in supersaturation. Zbl 1375.82118 Yokoyama, Etsuro; Giga, Yoshikazu; Rybka, Piotr 10 2008 Facet bending in the driven crystalline curvature flow in the plane. Zbl 1146.53037 Giga, Yoshikazu; Rybka, Piotr 10 2008 Global solvability of the Navier-Stokes equations in spaces based on sum-closed frequency sets. Zbl 1144.76009 Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Saal, Jürgen 10 2007 Geometric evolution of phase-boundaries. Zbl 0771.35027 Giga, Yoshikazu; Goto, Shun’ichi 10 1992 Dynamic boundary conditions for Hamilton–Jacobi equations. Zbl 1030.35115 Elliott, C. M.; Giga, Y.; Goto, S. 10 2003 Consistency in evolutions by crystalline curvature. Zbl 0865.35146 Giga, M. H.; Giga, Y. 9 1996 On a lower bound for the extinction time of surfaces moved by mean curvature. Zbl 0854.53011 Giga, Yoshikazu; Yama-uchi, Kazuyuki 9 1993 The Helmholtz decomposition of a space of vector fields with bounded mean oscillation in a bounded domain. Zbl 1514.35109 Giga, Yoshikazu; Gu, Zhongyang 3 2023 Normal trace for a vector field of bounded mean oscillation. Zbl 07692096 Giga, Yoshikazu; Gu, Zhongyang 3 2023 A finer singular limit of a single-well Modica-Mortola functional and its applications to the Kobayashi-Warren-Carter energy. Zbl 1505.49013 Giga, Yoshikazu; Okamoto, Jun; Uesaka, Masaaki 1 2023 The Helmholtz decomposition of a BMO type vector field in a slightly perturbed half space. Zbl 07682880 Giga, Yoshikazu; Gu, Zhongyang 1 2023 On the equivalence of viscosity solutions and distributional solutions for the time-fractional diffusion equation. Zbl 1484.35378 Giga, Yoshikazu; Mitake, Hiroyoshi; Sato, Shoichi 5 2022 Crystalline flow starting from a general polygon. Zbl 1494.53108 Giga, Mi-Ho; Giga, Yoshikazu; Kuroda, Ryo; Ochiai, Yusuke 2 2022 Exhaustive existence and non-existence results for Hardy-Hénon equations in \(\mathbb{R}^n\). Zbl 1504.35102 Giga, Yoshikazu; Ngô, Quốc Anh 2 2022 Motion by crystalline-like mean curvature: a survey. Zbl 1504.35002 Giga, Yoshikazu; Požár, Norbert 2 2022 Continuity of derivatives of a convex solution to a perturbed one-Laplace equation by \(p\)-Laplacian. Zbl 1487.35151 Giga, Yoshikazu; Tsubouchi, Shuntaro 1 2022 Existence of asymptotic speed of solutions to birth-and-spread type nonlinear partial differential equations. Zbl 1466.35035 Giga, Yoshikazu; Mitake, Hiroyoshi; Ohtsuka, Takeshi; Tran, Hung V. 3 2021 A varifold formulation of mean curvature flow with Dirichlet or dynamic boundary conditions. Zbl 1474.35020 Giga, Yoshikazu; Onoue, Fumihiko; Takasao, Keisuke 2 2021 The hydrostatic approximation for the primitive equations by the scaled Navier-Stokes equations under the no-slip boundary condition. Zbl 1503.35131 Furukawa, Ken; Giga, Yoshikazu; Kashiwabara, Takahito 2 2021 The primitive equations in the scaling-invariant space \(L^{\infty}(L^1)\). Zbl 1481.35329 Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito 2 2021 Analyticity of solutions to the primitive equations. Zbl 1523.35245 Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito 13 2020 Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier-Stokes equations. Zbl 1452.35150 Furukawa, Ken; Giga, Yoshikazu; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito; Wrona, Marc 12 2020 The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions. Zbl 1434.35096 Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito 9 2020 On a discrete scheme for time fractional fully nonlinear evolution equations. Zbl 1460.35363 Giga, Yoshikazu; Liu, Qing; Mitake, Hiroyoshi 6 2020 Remarks on large time behavior of level-set mean curvature flow equations with driving and source terms. Zbl 1452.35034 Giga, Yoshikazu; Mitake, Hiroyoshi; Tran, Hung V. 5 2020 Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term. Zbl 1456.35080 Giga, Yoshikazu; Požár, Norbert 4 2020 Numerical computations of split Bregman method for fourth order total variation flow. Zbl 1453.65142 Giga, Yoshikazu; Ueda, Yuki 4 2020 On boundary detachment phenomena for the total variation flow with dynamic boundary conditions. Zbl 1450.35147 Giga, Yoshikazu; Nakayashiki, Ryota; Rybka, Piotr; Shirakawa, Ken 3 2020 On the Helmholtz decompositions of vector fields of bounded mean oscillation and in real Hardy spaces over the half space. Zbl 1472.42036 Giga, Yoshikazu; Gu, Zhongyang 3 2020 A duality based approach to the minimizing total variation flow in the space \(H^{-s}\). Zbl 1410.94006 Giga, Yoshikazu; Muszkieta, Monika; Rybka, Piotr 8 2019 Strong time-periodic solutions to the bidomain equations with arbitrary large forces. Zbl 1516.35032 Giga, Yoshikazu; Kajiwara, Naoto; Kress, Klaus 6 2019 Continuous alignment of vorticity direction prevents the blow-up of the Navier-Stokes flow under the no-slip boundary condition. Zbl 1447.35246 Giga, Yoshikazu; Gu, Zhongyang; Hsu, Pen-Yuan 6 2019 On obstacle problem for mean curvature flow with driving force. Zbl 1442.35197 Giga, Yoshikazu; Tran, Hung V.; Zhang, Longjie 6 2019 On the continuity of the solutions to the Navier-Stokes equations with initial data in critical Besov spaces. Zbl 1428.35285 Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan 3 2019 Handbook of mathematical analysis in mechanics of viscous fluids. Zbl 1386.76001 15 2018 Approximation of general facets by regular facets with respect to anisotropic total variation energies and its application to crystalline mean curvature flow. Zbl 1393.53060 Giga, Yoshikazu; Požár, Norbert 14 2018 On a resolvent estimate for bidomain operators and its applications. Zbl 1380.35033 Giga, Yoshikazu; Kajiwara, Naoto 12 2018 Equivalence of BMO-type norms with applications to the heat and Stokes semigroups. Zbl 1395.30057 Bolkart, Martin; Giga, Yoshikazu; Suzuki, Takuya; Tsutsui, Yohei 7 2018 Global well posedness for a two-fluid model. Zbl 1463.76059 Giga, Yoshikazu; Ibrahim, Slim; Shen, Shengyi; Yoneda, Tsuyoshi 6 2018 Analyticity of the Stokes semigroup in BMO-type spaces. Zbl 1393.35160 Bolkart, Martin; Giga, Yoshikazu; Suzuki, Takuya 5 2018 Well-chosen weak solutions of the instationary Navier-Stokes system and their uniqueness. Zbl 1397.35170 Farwig, Reinhard; Giga, Yoshikazu 4 2018 On a dynamic boundary condition for singular degenerate parabolic equations in a half space. Zbl 1407.35096 Giga, Yoshikazu; Hamamuki, Nao 4 2018 Errata to “Energetic variational approaches for incompressible fluid systems on an evolving surface”. Zbl 1375.49066 Koba, Hajime; Liu, Chun; Giga, Yoshikazu 4 2018 An energetic variational approach for nonlinear diffusion equations in moving thin domains. Zbl 1470.35033 Miura, Tatsu-Hiko; Giga, Yoshikazu; Liu, Chun 3 2018 On large time behavior of growth by birth and spread. Zbl 1448.35007 Giga, Yoshikazu 3 2018 Strong stability of 2D viscoelastic Poiseuille-type flows. Zbl 1475.35232 Giga, Yoshikazu; Sauer, Jonas; Schade, Katharina 1 2018 Well-posedness of Hamilton-Jacobi equations with Caputo’s time fractional derivative. Zbl 1378.35324 Giga, Yoshikazu; Namba, Tokinaga 35 2017 Energetic variational approaches for incompressible fluid systems on an evolving surface. Zbl 1358.37081 Koba, Hajime; Liu, Chun; Giga, Yoshikazu 32 2017 Bounded \(H^{\infty }\)-calculus for the hydrostatic Stokes operator on \(L^p\)-spaces and applications. Zbl 1480.35323 Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito 10 2017 The Navier-Stokes equations with initial values in Besov spaces of type \(B^{-1+3/q}_{q,\infty}\). Zbl 1390.35229 Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan 8 2017 On analyticity of the \(L^p\)-Stokes semigroup for some non-Helmholtz domains. Zbl 1379.35233 Bolkart, Martin; Giga, Yoshikazu; Miura, Tatsu-Hiko; Suzuki, Takuya; Tsutsui, Yohei 8 2017 Stability of a two-dimensional Poiseuille-type flow for a viscoelastic fluid. Zbl 1369.35057 Endo, Masakazu; Giga, Yoshikazu; Götz, Dario; Liu, Chun 4 2017 On the Stokes resolvent estimates for cylindrical domains. Zbl 1396.35045 Abe, Ken; Giga, Yoshikazu; Schade, Katharina; Suzuki, Takuya 3 2017 Initial values for the Navier-Stokes equations in spaces with weights in time. Zbl 1364.35236 Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan 12 2016 A level set crystalline mean curvature flow of surfaces. Zbl 1375.35264 Giga, Yoshikazu; Požár, Norbert 12 2016 On asymptotic speed of solutions to level-set mean curvature flow equations with driving and source terms. Zbl 1355.35123 Giga, Yoshikazu; Mitake, Hiroyoshi; Tran, Hung V. 10 2016 On \(L^\infty \)-BMO estimates for derivatives of the Stokes semigroup. Zbl 1354.35065 Bolkart, Martin; Giga, Yoshikazu 7 2016 The work of Yoshihiro Shibata. Zbl 1337.01007 Amann, Herbert; Giga, Yoshikazu; Okamoto, Hisashi; Kozono, Hideo; Yamazaki, Masaso 1 2016 Stokes resolvent estimates in spaces of bounded functions. (Estimations de la résolvante de Stokes dans les espaces des fonctions bornées.) Zbl 1328.35145 Abe, Ken; Giga, Yoshikazu; Hieber, Matthias 24 2015 Eikonal equations in metric spaces. Zbl 1332.35076 Giga, Yoshikazu; Hamamuki, Nao; Nakayasu, Atsushi 19 2015 On the Stokes semigroup in some non-Helmholtz domains. Zbl 1321.35009 Abe, Ken; Giga, Yoshikazu; Schade, Katharina; Suzuki, Takuya 7 2015 A level set approach reflecting sheet structure with single auxiliary function for evolving spirals on crystal surfaces. Zbl 1331.53101 Ohtsuka, T.; Tsai, Y.-H. R.; Giga, Y. 6 2015 A counterexample to finite time stopping property for one-harmonic map flow. Zbl 1321.35109 Giga, Yoshikazu; Kuroda, Hirotoshi 2 2015 Bent rectangles as viscosity solutions over a circle. Zbl 1325.53085 Giga, Yoshikazu; Górka, Przemysław; Rybka, Piotr 1 2015 Uniform exponential stability of the Ekman spiral. Zbl 1314.35101 Giga, Yoshikazu; Saal, Jürgen 1 2015 The \(L^\infty\)-Stokes semigroup in exterior domains. Zbl 1293.35231 Abe, Ken; Giga, Yoshikazu 35 2014 A Liouville theorem for the planer Navier-Stokes equations with the no-slip boundary condition and its application to a geometric regularity criterion. Zbl 1311.35044 Giga, Yoshikazu; Hsu, Pen-Yuan; Maekawa, Yasunori 16 2014 Periodic total variation flow of non-divergence type in \(\mathbb R^n\). Zbl 1319.35103 Giga, Mi-Ho; Giga, Yoshikazu; Požár, Norbert 11 2014 Fourth-order total variation flow with Dirichlet condition: characterization of evolution and extinction time estimates. Zbl 1327.35146 Giga, Yoshikazu; Kuroda, Hirotoshi; Matsuoka, Hideki 8 2014 Singular Neumann problems and large-time behavior of solutions of noncoercive Hamilton-Jacobi equations. Zbl 1286.35074 Giga, Yoshikazu; Liu, Qing; Mitake, Hiroyoshi 8 2014 Erratum to: “A comparison principle for singular diffusion equations with spatially inhomogeneous driving force for graphs”. Zbl 1290.35023 Giga, M.-H.; Giga, Y.; Rybka, P. 8 2014 A comparison principle for singular diffusion equations with spatially inhomogeneous driving force for graphs. Zbl 1288.35137 Giga, M.-H.; Giga, Y.; Rybka, P. 4 2014 On self-similar solutions to the surface diffusion flow equations with contact angle boundary conditions. Zbl 1332.35061 Asai, Tomoro; Giga, Yoshikazu 3 2014 Analyticity of the Stokes semigroup in spaces of bounded functions. Zbl 1288.35383 Abe, Ken; Giga, Yoshikazu 46 2013 Hamilton-Jacobi equations with discontinuous source terms. Zbl 1263.35066 Giga, Yoshikazu; Hamamuki, Nao 14 2013 A remark on a Liouville problem with boundary for the Stokes and the Navier-Stokes equations. Zbl 1260.35112 Giga, Yoshikazu 7 2013 On representation of boundary integrals involving the mean curvature for mean-convex domains. Zbl 1298.53010 Giga, Yoshikazu; Pisante, Giovanni 4 2013 On the role of kinetic and interfacial anisotropy in the crystal growth theory. Zbl 1286.35142 Giga, Mi-Ho; Giga, Yoshikazu 3 2013 On general existence results for one-dimensional singular diffusion equations with spatially inhomogeneous driving force. Zbl 1295.35279 Giga, Mi-Ho; Giga, Yoshikazu; Nakayasu, Atsushi 3 2013 Anisotropic total variation flow of non-divergence type on a higher dimensional torus. Zbl 1291.35120 Giga, Mi-Ho; Giga, Yoshikazu; Požár, Norbert 3 2013 Evolution of regular bent rectangles by the driven crystalline curvature flow in the plane with a non-uniform forcing term. Zbl 1295.35261 Giga, Yoshikazu; Górka, Przemysław; Rybka, Piotr 3 2013 An approach to rotating boundary layers based on vector Radon measures. Zbl 1267.28013 Giga, Yoshikazu; Saal, Jürgen 2 2013 Interfaces and free boundaries: analysis, control and simulation. Abstracts from the workshop held March 24–30, 2013. Zbl 1349.00157 1 2013 Large-time asymptotics for one-dimensional Dirichlet problems for Hamilton-Jacobi equations with noncoercive Hamiltonians. Zbl 1230.35038 Giga, Yoshikazu; Liu, Qing; Mitake, Hiroyoshi 11 2012 An area-minimizing scheme for anisotropic mean-curvature flow. Zbl 1275.35014 Eto, Tokuhiro; Giga, Yoshikazu; Ishii, Katsuyuki 4 2012 An area minimizing scheme for anisotropic mean curvature flow. Zbl 1242.35013 Eto, Tokuhiro; Giga, Yoshikazu; Ishii, Katsuyuki 1 2012 Scale-invariant extinction time estimates for some singular diffusion equations. Zbl 1223.35211 Giga, Yoshikazu; Kohn, Robert V. 37 2011 On vorticity directions near singularities for the Navier-Stokes flows with infinite energy. Zbl 1216.35087 Giga, Yoshikazu; Miura, Hideyuki 23 2011 Asymptotic behavior of type I blowup solutions to a parabolic-elliptic system of drift-diffusion type. Zbl 1270.35131 Giga, Yoshikazu; Mizoguchi, Noriko; Senba, Takasi 16 2011 A comparison principle for Hamilton-Jacobi equations with discontinuous Hamiltonians. Zbl 1215.49035 Giga, Yoshikazu; Górka, Przemysław; Rybka, Piotr 9 2011 \(L^1\) maximal regularity for the Laplacian and applications. Zbl 1306.35084 Giga, Yoshikazu; Saal, Jürgen 7 2011 On a bound for amplitudes of Navier-Stokes flow with almost periodic initial data. Zbl 1270.35343 Giga, Yoshikazu; Mahalov, Alex; Yoneda, Tsuyoshi 3 2011 On decay rate of quenching profile at space infinity for axisymmetric mean curvature flow. Zbl 1213.53087 Giga, Yoshikazu; Seki, Yukihiro; Umeda, Noriaki 1 2011 Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions. Zbl 1215.35001 Giga, Mi-Ho; Giga, Yoshikazu; Saal, Jürgen 83 2010 Very singular diffusion equations: second and fourth order problems. Zbl 1213.35274 Giga, Mi-Ho; Giga, Yoshikazu 30 2010 Nonlocal spatially inhomogeneous Hamilton-Jacobi equation with unusual free boundary. Zbl 1183.49028 Giga, Yoshikazu; Górka, Przemysław; Rybka, Piotr 5 2010 Facet bending driven by the planar crystalline curvature with a generic nonuniform forcing term. Zbl 1183.53061 Giga, Yoshikazu; Rybka, Piotr 7 2009 A billiard-based game interpretation of the Neumann problem for the curve shortening equation. Zbl 1170.35437 Giga, Yoshikazu; Liu, Qing 6 2009 Uniqueness of constant weakly anisotropic mean curvature immersion of sphere \(S^2\) in \(\mathbb{R}^3\). Zbl 1183.53053 Giga, Yoshikazu; Zhai, Jian 5 2009 Mean curvature flow closes open ends of noncompact surfaces of rotation. Zbl 1183.53062 Giga, Yoshikazu; Seki, Yukihiro; Umeda, Noriaki 2 2009 Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data. Zbl 1159.35055 Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Saal, Jürgen 34 2008 A microscopic time scale approximation to the behavior of the local slope on the faceted surface under a nonuniformity in supersaturation. Zbl 1375.82118 Yokoyama, Etsuro; Giga, Yoshikazu; Rybka, Piotr 10 2008 Facet bending in the driven crystalline curvature flow in the plane. Zbl 1146.53037 Giga, Yoshikazu; Rybka, Piotr 10 2008 On time analyticity of the Navier-Stokes equations in a rotating frame with spatially almost periodic data. Zbl 1143.76417 Giga, Yoshikazu; Jo, Hideaki; Mahalov, Alex; Yoneda, Tsuyoshi 9 2008 On instant blow-up for semilinear heat equations with growing initial data. Zbl 1170.35435 Giga, Yoshikazu; Umeda, Noriaki 7 2008 Blow-up at space infinity for nonlinear heat equations. Zbl 1351.35072 Giga, Yoshikazu; Seki, Yukihiro; Umeda, Noriaki 3 2008 A remark on the discrete deterministic game approach for curvature flow equations. Zbl 1158.91302 Giga, Yoshikazu; Liu, Qing 1 2008 ...and 131 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,829 Authors 104 Giga, Yoshikazu 51 Winkler, Michael 38 Kozono, Hideo 34 Farwig, Reinhard 31 Zaag, Hatem 29 Hieber, Matthias 26 Kang, Kyungkeun 26 Souplet, Philippe 25 Sohr, Hermann 24 Maremonti, Paolo 23 Liu, Qiao 21 Ogawa, Takayoshi 21 Shimizu, Senjo 20 Novaga, Matteo 20 Zheng, Jiashan 19 Liu, Qing 18 Guo, Jong-Shenq 18 Rybka, Piotr 18 Zhao, Jihong 18 Zheng, Sining 17 Ferreira, Lucas Catão de Freitas 17 Mizoguchi, Noriko 16 Gala, Sadek 16 Ishige, Kazuhiro 16 Maekawa, Yasunori 16 Mitake, Hiroyoshi 16 Tsai, Tai-Peng 15 Liu, Chun 14 Chang, Tongkeun 14 He, Cheng 14 Nguyen Thieu Huy 14 Quittner, Pavol 13 Barker, Tobias 13 Chambolle, Antonin 13 Cui, Shangbin 13 Fan, Jishan 13 Fila, Marek 12 Amrouche, Chérif 12 Chae, Dongho 12 Herrero, Miguel Ángel 12 Merle, Frank 12 Miao, Changxing 12 Prange, Christophe 12 Seregin, Gregory A. 12 Shirakawa, Ken 12 Souganidis, Panagiotis E. 12 Wei, Juncheng 12 Zhang, Zhifei 11 Fujishima, Yohei 11 Garcke, Harald 11 Hamamuki, Nao 11 Jin, Bumja 11 Lee, Jihoon 11 Ozawa, Tohru 11 Prüß, Jan Wilhelm 11 Rossi, Julio Daniel 11 Taniuchi, Yasushi 11 Yoneda, Tsuyoshi 10 Barles, Guy 10 Beirão da Veiga, Hugo 10 Bellettini, Giovanni 10 Biler, Piotr 10 Galaktionov, Victor Aleksandrovich 10 Gallay, Thierry 10 Hishida, Toshiaki 10 Hu, Bei 10 Liu, Jianguo 10 Matano, Hiroshi 10 McCoy, James Alexander 10 Miyakawa, Tetsuro 10 Velázquez, Juan J. L. 10 Vu Thi Ngoc Ha 10 Wang, Yulan 10 Xiang, Zhaoyin 10 Xie, Chunhong 9 Bradshaw, Zachary 9 Camilli, Fabio 9 Caselles Costa, Vicent 9 Escobedo Martínez, Miguel 9 Galdi, Giovanni Paolo 9 Ghoul, Tej-Eddine 9 Han, Pigong 9 Hussein, Amru 9 Karch, Grzegorz 9 Koba, Hajime 9 Kukavica, Igor 9 Liu, Ji 9 Miura, Hideyuki 9 Mucha, Piotr Bogusław 9 Nguyen, Van Tien 9 Reusken, Arnold 9 Saal, Jürgen 9 Shibata, Yoshihiro 9 Tayachi, Slim 9 Tonegawa, Yoshihiro 9 Wang, Mingxin 9 Yin, Jingxue 9 Yoshida, Zensho 9 Zhang, Ting 8 Chen, Qionglei ...and 2,729 more Authors all top 5 Cited in 354 Serials 266 Journal of Differential Equations 163 Journal of Mathematical Analysis and Applications 133 Nonlinear Analysis. Theory, Methods & Applications. 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Mathematics 12 Advances in Nonlinear Analysis 11 Duke Mathematical Journal 11 Journal für die Reine und Angewandte Mathematik 11 Chinese Annals of Mathematics. Series B 11 Journal of Nonlinear Science 11 Communications in Contemporary Mathematics 11 Acta Mathematica Scientia. Series B. (English Edition) 11 Analysis & PDE 10 Manuscripta Mathematica 10 Numerische Mathematik 10 Acta Mathematicae Applicatae Sinica. English Series 10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. 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Series B (English Edition) 6 Analysis and Mathematical Physics 5 Journal of Statistical Physics 5 Czechoslovak Mathematical Journal 5 Memoirs of the American Mathematical Society 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 SIAM Journal on Control and Optimization 5 Applied Numerical Mathematics 5 Asymptotic Analysis ...and 254 more Serials all top 5 Cited in 53 Fields 2,739 Partial differential equations (35-XX) 1,101 Fluid mechanics (76-XX) 310 Differential geometry (53-XX) 228 Calculus of variations and optimal control; optimization (49-XX) 193 Biology and other natural sciences (92-XX) 189 Numerical analysis (65-XX) 121 Operator theory (47-XX) 97 Functional analysis (46-XX) 94 Probability theory and stochastic processes (60-XX) 91 Mechanics of deformable solids (74-XX) 90 Global analysis, analysis on manifolds (58-XX) 83 Statistical mechanics, structure of matter (82-XX) 74 Harmonic analysis on Euclidean spaces (42-XX) 67 Ordinary differential equations (34-XX) 56 Dynamical systems and ergodic theory (37-XX) 50 Real functions (26-XX) 43 Classical thermodynamics, heat transfer (80-XX) 40 Geophysics (86-XX) 38 Systems theory; control (93-XX) 36 Optics, electromagnetic theory (78-XX) 35 Computer science (68-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Information and communication theory, circuits (94-XX) 24 Integral equations (45-XX) 20 Functions of a complex variable (30-XX) 19 Measure and integration (28-XX) 17 Convex and discrete geometry (52-XX) 10 Potential theory (31-XX) 9 Mechanics of particles and systems (70-XX) 9 Operations research, mathematical programming (90-XX) 8 Approximations and expansions (41-XX) 8 Manifolds and cell complexes (57-XX) 7 Quantum theory (81-XX) 6 Astronomy and astrophysics (85-XX) 5 General and overarching topics; collections (00-XX) 5 Special functions (33-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Difference and functional equations (39-XX) 3 Mathematical logic and foundations (03-XX) 3 Algebraic geometry (14-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 Integral transforms, operational calculus (44-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistics (62-XX) 2 Mathematics education (97-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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