Edit Profile Giga, Yoshikazu Compute Distance To: Compute Author ID: giga.yoshikazu Published as: Giga, Yoshikazu; Giga, Y. Documents Indexed: 252 Publications since 1981, including 10 Books Biographic References: 2 Publications all top 5 Co-Authors 28 single-authored 25 Giga, Mi-Ho 18 Rybka, Piotr 12 Matsui, Shin’ya 10 Goto, Shun’ichi 9 Mahalov, Alex 9 Umeda, Noriaki 8 Aviles, Patricio 8 Inui, Katsuya 7 Chen, Yungang 7 Hieber, Matthias 7 Mitake, Hiroyoshi 7 Saal, Jürgen 7 Sato, Moto-Hiko 6 Liu, Qing 6 Miyakawa, Tetsuro 6 Yoshida, Zensho 5 Abe, Ken 5 Hsu, Pen-Yuan 5 Kohn, Robert Vita 5 Kuroda, Hirotoshi 5 Mizoguchi, Noriko 5 Požár, Norbert 5 Suzuki, Takuya 4 Bolkart, Martin 4 Elliott, Charles M. 4 Farwig, Reinhard 4 Górka, Przemysław 4 Hamamuki, Nao 4 Hontani, Hidekata 4 Hussein, Amru 4 Ishii, Hitoshi 4 Ito, Kazuo 4 Kashiwabara, Takahito 4 Kobayashi, Ryo 4 Ohtsuka, Takeshi 4 Tran Vinh Hung 3 Deguchi, Koichiro 3 Gries, Mathis Yannik 3 Hinze, Michael 3 Kozono, Hideo 3 Liu, Chun 3 Sawada, Okihiro 3 Seki, Yukihiro 3 Sohr, Hermann 3 Styles, Vanessa 3 Tsai, Yen-Hsi Richard 3 Yamauchi, Kazuyuki 3 Yoneda, Tsuyoshi 2 Amann, Herbert 2 Dohmen, Claus 2 Escher, Joachim 2 Eto, Tokuhiro 2 Giga, Mariko 2 Gurtin, Morton Edward 2 Ishii, Katsuyuki 2 Kajiwara, Naoto 2 Koba, Hajime 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 Schade, Katharina Clara 2 Shimizu, Yasuyuki 2 Titi, Edriss Saleh 2 Tonegawa, Yoshihiro 2 Tsutsui, Yohei 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 Ciepliński, Krzysztof 1 Endo, Masakazu 1 Friedman, Avner 1 Fukui, Toshihide 1 Furukawa, Ken 1 Geissert, Matthias 1 Götz, Dario 1 Gu, Zhongyang 1 Hashimoto, Yoshiaki 1 Hitaka, Toshio 1 Honma, Mitsuru 1 Ibrahim, Slim 1 Ishimura, Naoyuki 1 Jo, Hideaki 1 Kagei, Yoshiyuki 1 Kambe, Tsutomu 1 Kashima, Yohei 1 Kato, Jun 1 Kenmochi, Nobuyuki 1 Kloeden, Peter Eris 1 Kobayashi, Toshiyuki 1 Kohsaka, Yoshihito ...and 45 more Co-Authors all top 5 Serials 10 Archive for Rational Mechanics and Analysis 10 Proceedings of the Japan Academy. Series A 10 Communications in Partial Differential Equations 8 Discrete and Continuous Dynamical Systems 8 RIMS Kokyuroku 7 SIAM Journal on Mathematical Analysis 7 Advances in Differential Equations 6 Indiana University Mathematics Journal 5 Journal of Differential Equations 5 Japan Journal of Industrial and Applied Mathematics 5 Differential and Integral Equations 5 Advances in Mathematical Sciences and Applications 5 Oberwolfach Reports 4 Communications on Pure and Applied Mathematics 4 Mathematische Zeitschrift 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Mathematical Fluid Mechanics 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 Journal of Evolution Equations 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 The Journal of Geometric Analysis 2 Calculus of Variations and Partial Differential Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Advanced Studies in Pure Mathematics 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 Numerische Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tamkang Journal of Mathematics 1 Asymptotic Analysis 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 Potential Analysis 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 Geometric Flows 1 Progress in Nonlinear Differential Equations and Their Applications 1 Advances in Mathematical Fluid Mechanics 1 SN Partial Differential Equations and Applications all top 5 Fields 223 Partial differential equations (35-XX) 68 Fluid mechanics (76-XX) 43 Differential geometry (53-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 20 Mechanics of deformable solids (74-XX) 19 Operator theory (47-XX) 16 General and overarching topics; collections (00-XX) 14 Global analysis, analysis on manifolds (58-XX) 14 Numerical analysis (65-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Geophysics (86-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 4 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Ordinary differential equations (34-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 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-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 202 Publications have been cited 4,065 times in 2,450 Documents Cited by ▼ Year ▼ Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system. Zbl 0577.35058Giga, Yoshikazu 368 1986 Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. Zbl 0696.35087Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi 259 1991 Asymptotically self-similar blow-up of semilinear heat equations. Zbl 0585.35051Giga, Yoshikazu; Kohn, Robert V. 250 1985 Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains. Zbl 0739.35067Giga, Yoshikazu; Sohr, Hermann 235 1991 Characterizing blowup using similarity variables. Zbl 0601.35052Giga, Yoshikazu; Kohn, Robert V. 171 1987 Solutions in \(L_ r\) of the Navier-Stokes initial value problem. Zbl 0587.35078Giga, Yoshikazu; Miyakawa, Tetsuro 158 1985 Nondegeneracy of blow up for semilinear heat equations. Zbl 0703.35020Giga, Yoshikazu; Kohn, Robert V. 128 1989 Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces. Zbl 0473.35064Giga, Yoshikazu 120 1981 Surface evolution equations. A level set approach. Zbl 1096.53039Giga, Yoshikazu 118 2006 Navier-Stokes flow in \(R^ 3\) with measures as initial vorticity and Morrey spaces. Zbl 0681.35072Giga, Yoshikazu; Miyakawa, Tetsuro 112 1989 Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains. Zbl 0836.35009Giga, Y.; Goto, S.; Ishii, H.; Sato, M.-H. 88 1991 Domains of fractional powers of the Stokes operator in \(L_ r\) spaces. Zbl 0584.76037Giga, Yoshikazu 84 1985 A bound for global solutions of semilinear heat equations. Zbl 0595.35057Giga, Yoshikazu 68 1986 Two-dimensional Navier-Stokes flow with measures as initial vorticity. Zbl 0666.76052Giga, Yoshikazu; Miyakawa, Tetsuro; Osada, Hirofumi 64 1988 Blow up rate for semilinear heat equations with subcritical nonlinearity. Zbl 1058.35096Giga, Yoshikazu; Matsui, Shin’ya; Sasayama, Satoshi 56 2004 Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions. Zbl 1215.35001Giga, Mi-Ho; Giga, Yoshikazu; Saal, Jürgen 55 2010 Mean curvature flow through singularities for surfaces of rotation. Zbl 0847.58072Altschuler, Steven; Angenent, Sigurd B.; Giga, Yoshikazu 53 1995 Remarks on spectra of operator rot. Zbl 0676.47012Yoshida, Zensho; Giga, Yoshikazu 53 1990 A single point blow-up for solutions of semilinear parabolic systems. Zbl 0648.35042Friedman, Avner; Giga, Yoshikazu 40 1987 On the Cauchy problem for the Navier-Stokes equations with nondecaying initial data. Zbl 0961.35110Giga, Yoshikazu; Inui, Katsuya; Matsui, Shin’ya 39 1999 Analyticity of the Stokes semigroup in spaces of bounded functions. Zbl 1288.35383Abe, Ken; Giga, Yoshikazu 37 2013 On lower semicontinuity of a defect energy obtained by a singular limit of the Ginzburg-Landau type energy for gradient fields. Zbl 0923.49008Aviles, Patricio; Giga, Yoshikazu 35 1999 On regularizing-decay rate estimates for solutions to the Navier-Stokes initial value problem. Zbl 1080.35072Giga, Yoshikazu; Sawada, Okihiro 34 2003 Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity. Zbl 0992.35066Giga, Y.; Matsui, S.; Sawada, O. 34 2001 The Stokes operator in \(L_ R\) spaces. Zbl 0471.35069Giga, Yoshikazu 33 1981 On estimates in Hardy spaces for the Stokes flow in a half space. Zbl 0928.35118Giga, Yoshikazu; Matsui, Shin’ya; Shimizu, Yasuyuki 29 1999 Evolving graphs by singular weighted curvature. Zbl 0896.35069Giga, Mi-Ho; Giga, Yoshikazu 29 1998 Large time behavior of the vorticity two-dimensional viscous flow and its application to vortex formation. Zbl 0661.76018Giga, Yoshikazu; Kambe, Tsutomu 29 1988 Scale-invariant extinction time estimates for some singular diffusion equations. Zbl 1223.35211Giga, Yoshikazu; Kohn, Robert V. 28 2011 A kinetic construction of global solutions of first order quasilinear equations. Zbl 0519.35053Giga, Yoshikazu; Miyakawa, Tetsuro 28 1983 The \(L^\infty\)-Stokes semigroup in exterior domains. Zbl 1293.35231Abe, Ken; Giga, Yoshikazu 26 2014 Equations with singular diffusivity. Zbl 0952.74014Kobayashi, R.; Giga, Y. 26 1999 Generalized motion by nonlocal curvature in the plane. Zbl 1004.35075Giga, Mi-Ho; Giga, Yoshikazu 25 2001 Motion of hypersurfaces and geometric equations. Zbl 0739.53005Giga, Yoshikazu; Goto, Shun’ichi 23 1992 Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data. Zbl 1159.35055Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Saal, Jürgen 22 2008 Very singular diffusion equations: second and fourth order problems. Zbl 1213.35274Giga, Mi-Ho; Giga, Yoshikazu 20 2010 Weak and strong solutions of the Navier-Stokes initial value problem. Zbl 0547.35101Giga, Yoshikazu 19 1983 Motion of a graph by nonsmooth weighted curvature. Zbl 0860.35061Fukui, Toshihide; Giga, Yoshikazu 19 1996 Interior derivative blow-up for quasilinear parabolic equations. Zbl 0878.35015Giga, Yoshikazu 19 1995 Energetic variational approaches for incompressible fluid systems on an evolving surface. Zbl 1358.37081Koba, Hajime; Liu, Chun; Giga, Yoshikazu 19 2017 On blow-up rate for sign-changing solutions in a convex domain. Zbl 1066.35043Giga, Yoshikazu; Matsui, Shin’ya; Sasayama, Satoshi 19 2004 Navier-Stokes equations in a rotating frame in \(\mathbb R^3\) with initial data nondecreasing at infinity. Zbl 1192.35132Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya 19 2006 On vorticity directions near singularities for the Navier-Stokes flows with infinite energy. Zbl 1216.35087Giga, Yoshikazu; Miura, Hideyuki 18 2011 Stokes resolvent estimates in spaces of bounded functions. (Estimations de la résolvante de Stokes dans les espaces des fonctions bornées.) Zbl 1328.35145Abe, Ken; Giga, Yoshikazu; Hieber, Matthias 18 2015 Well-posedness of Hamilton-Jacobi equations with Caputo’s time fractional derivative. Zbl 1378.35324Giga, Yoshikazu; Namba, Tokinaga 18 2017 Very singular diffusion equations. Zbl 1002.35074Giga, Mi-Ho; Giga, Yoshikazu; Kobayashi, Ryo 18 2001 Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. Zbl 0735.35082Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi 18 1989 Variational integrals on mappings of bounded variation and their lower semicontinuity. Zbl 0737.49011Aviles, Patricio; Giga, Yoshikazu 17 1991 On blow-up at space infinity for semilinear heat equations. Zbl 1106.35029Giga, Yoshikazu; Umeda, Noriaki 17 2006 Global existence of weak solutions for interface equations coupled with diffusion equations. Zbl 0754.35061Giga, Yoshikazu; Goto, Shun’ichi; Ishii, Hitoshi 16 1992 A comparison theorem for crystalline evolution in the plane. Zbl 0862.35047Giga, Yoshikazu; Gurtin, Morton E. 16 1996 A level set approach to semicontinuous viscosity solutions for Cauchy problems. Zbl 1005.49025Giga, Yoshikazu; Sato, Moto-Hiko 15 2001 Selfsimilar shrinking curves for anisotropic curvature flow equations. Zbl 0815.34026Dohmen, Claus; Giga, Yoshikazu 14 1994 Existence of selfsimilar shrinking curves for anisotropic curvature flow equations. Zbl 0847.34042Dohmen, Claus; Giga, Yoshikazu; Mizoguchi, Noriko 14 1996 Eikonal equations in metric spaces. Zbl 1332.35076Giga, Yoshikazu; Hamamuki, Nao; Nakayasu, Atsushi 14 2015 Time and spatial analyticity of solutions of the Navier-Stokes equations. Zbl 0519.35067Giga, Yoshikazu 14 1983 A Liouville theorem for the planer Navier-Stokes equations with the no-slip boundary condition and its application to a geometric regularity criterion. Zbl 1311.35044Giga, Yoshikazu; Hsu, Pen-Yuan; Maekawa, Yasunori 13 2014 Crystalline and level set flow – convergence of a crystalline algorithm for a general anisotropic curvature flow in the plane. Zbl 0957.35122Giga, Mi-Ho; Giga, Yoshikazu 13 2000 Loss of convexity of simple closed curves moved by surface diffusion. Zbl 0921.35072Giga, Yoshikazu; Ito, Kazuo 13 1999 Uniform local solvability for the Navier-Stokes equations with the Coriolis force. Zbl 1107.76023Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya 13 2005 On pinching of curves moved by surface diffusion. Zbl 0894.35049Giga, Y.; Ito, K. 12 1998 On global weak solutions of the nonstationary two-phase Stokes flow. Zbl 0806.35137Giga, Yoshikazu; Takahashi, Shuji 12 1994 On the dynamics of crystalline motions. Zbl 1306.74038Giga, Yoshikazu; Gurtin, Morton E.; Matias, Jose’ 12 1998 On the Ohm-Navier-Stokes system in magnetohydrodynamics. Zbl 0533.76125Yoshida, Zensho; Giga, Yoshikazu 12 1983 A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations. Zbl 1013.65088Tsai, Yen-Hsi Richard; Giga, Yoshikazu; Osher, Stanley 12 2003 Blow-up directions at space infinity for solutions of semilinear heat equations. Zbl 1173.35531Giga, Yoshikazu; Umeda, Noriaki 12 2005 On the equations of the two-component theory in magnetohydrodynamics. Zbl 0547.76122Giga, Yoshikazu; Yoshida, Zensho 11 1984 Hamilton-Jacobi equations with discontinuous source terms. Zbl 1263.35066Giga, Yoshikazu; Hamamuki, Nao 11 2013 On elliptic equations related to self-similar solutions for nonlinear heat equations. Zbl 0626.35033Giga, Yoshikazu 11 1986 Stability for evolving graphs by nonlocal weighted curvature. Zbl 0924.35177Giga, Mi-Ho; Giga, Yoshikazu 10 1999 Geometric evolution of phase-boundaries. Zbl 0771.35027Giga, Yoshikazu; Goto, Shun’ichi 10 1992 \(L^ p\) estimates for the Stokes system. Zbl 0804.47019Giga, Mariko; Giga, Yoshikazu; Sohr, Hermann 10 1993 Facet bending in the driven crystalline curvature flow in the plane. Zbl 1146.53037Giga, Yoshikazu; Rybka, Piotr 10 2008 Global solvability of the Navier-Stokes equations in spaces based on sum-closed frequency sets. Zbl 1144.76009Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Saal, Jürgen 10 2007 Large-time asymptotics for one-dimensional Dirichlet problems for Hamilton-Jacobi equations with noncoercive Hamiltonians. Zbl 1230.35038Giga, Yoshikazu; Liu, Qing; Mitake, Hiroyoshi 10 2012 Asymptotic behavior of type I blowup solutions to a parabolic-elliptic system of drift-diffusion type. Zbl 1270.35131Giga, Yoshikazu; Mizoguchi, Noriko; Senba, Takasi 10 2011 On the motion by singular interfacial energy. Zbl 0984.35090Giga, Yoshikazu; Paolini, Maurizio; Rybka, Piotr 10 2001 Rotating Navier-Stokes equations in \({\mathbb R}^{3}_{+}\) with initial data nondecreasing at infinity: The Ekman boundary layer problem. Zbl 1130.76025Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya; Saal, Jürgen 9 2007 Initial values for the Navier-Stokes equations in spaces with weights in time. Zbl 1364.35236Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan 9 2016 Generalized interface evolution with the Neumann boundary condition. Zbl 0786.35076Giga, Yoshikazu; Sato, Moto-Hiko 9 1991 Neumann problem for singular degenerate parabolic equations. Zbl 0806.35098Giga, Yoshikazu; Sato, Moto-Hiko 9 1993 Periodic total variation flow of non-divergence type in \(\mathbb R^n\). Zbl 1319.35103Giga, Mi-Ho; Giga, Yoshikazu; Požár, Norbert 9 2014 A microscopic time scale approximation to the behavior of the local slope on the faceted surface under a nonuniformity in supersaturation. Zbl 1375.82118Yokoyama, Etsuro; Giga, Yoshikazu; Rybka, Piotr 9 2008 Remarks on the uniqueness of bounded solutions of the Navier-Stokes equations. Zbl 1042.35604Giga, Yoshikazu; Inui, Katsuya; Kato, Jun; Matsui, Shin’ya 9 2001 Local solvability of a constrained gradient system of total variation. Zbl 1068.35054Giga, Yoshikazu; Kashima, Yohei; Yamazaki, Noriaki 9 2004 On a lower bound for the extinction time of surfaces moved by mean curvature. Zbl 0854.53011Giga, Yoshikazu; Yama-uchi, Kazuyuki 8 1993 The distance function and defect energy. Zbl 0878.49017Aviles, Patricio; Giga, Yoshikazu 8 1996 A subdifferential interpretation of crystalline motion under nonuniform driving force. Zbl 1304.35674Giga, Mi-Ho; Giga, Yoshikazu 8 1998 Erratum to: “A comparison principle for singular diffusion equations with spatially inhomogeneous driving force for graphs”. Zbl 1290.35023Giga, M.-H.; Giga, Y.; Rybka, P. 8 2014 Approximation of general facets by regular facets with respect to anisotropic total variation energies and its application to crystalline mean curvature flow. Zbl 1393.53060Giga, Yoshikazu; Požár, Norbert 8 2018 On time analyticity of the Navier-Stokes equations in a rotating frame with spatially almost periodic data. Zbl 1143.76417Giga, Yoshikazu; Jo, Hideaki; Mahalov, Alex; Yoneda, Tsuyoshi 8 2008 On a resolvent estimate for bidomain operators and its applications. Zbl 1380.35033Giga, Yoshikazu; Kajiwara, Naoto 8 2018 Singularities and rank one properties of Hessian measures. Zbl 0711.49062Aviles, Patricio; Giga, Yoshikazu 8 1989 The Cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data. Zbl 1170.35074Giga, Y.; Mahalov, A.; Nicolaenko, B. 7 2007 A nonlinear semigroup approach to the Navier-Stokes system. Zbl 0547.35103Yoshida, Zensho; Giga, Yoshikazu 7 1984 On constrained equations with singular diffusivity. Zbl 1058.58006Giga, Yoshikazu; Kobayashi, Ryo 7 2003 \(L^ p\) estimate for abstract linear parabolic equations. Zbl 0754.35018Giga, Mariko; Giga, Yoshikazu; Sohr, Hermann 7 1991 Remarks on viscosity solutions for evolution equations. Zbl 0816.35063Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi 7 1991 Analysis toward snow crystal growth. Zbl 0817.76090Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi 7 1991 Singular Neumann problems and large-time behavior of solutions of noncoercive Hamilton-Jacobi equations. Zbl 1286.35074Giga, Yoshikazu; Liu, Qing; Mitake, Hiroyoshi 7 2014 The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions. Zbl 1434.35096Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito 2 2020 Continuous alignment of vorticity direction prevents the blow-up of the Navier-Stokes flow under the no-slip boundary condition. Zbl 1447.35246Giga, Yoshikazu; Gu, Zhongyang; Hsu, Pen-Yuan 2 2019 A duality based approach to the minimizing total variation flow in the space \(H^{-s}\). Zbl 1410.94006Giga, Yoshikazu; Muszkieta, Monika; Rybka, Piotr 2 2019 On obstacle problem for mean curvature flow with driving force. Zbl 1442.35197Giga, Yoshikazu; Tran, Hung V.; Zhang, Longjie 1 2019 Approximation of general facets by regular facets with respect to anisotropic total variation energies and its application to crystalline mean curvature flow. Zbl 1393.53060Giga, Yoshikazu; Požár, Norbert 8 2018 On a resolvent estimate for bidomain operators and its applications. Zbl 1380.35033Giga, Yoshikazu; Kajiwara, Naoto 8 2018 Global well posedness for a two-fluid model. Zbl 1463.76059Giga, Yoshikazu; Ibrahim, Slim; Shen, Shengyi; Yoneda, Tsuyoshi 4 2018 Handbook of mathematical analysis in mechanics of viscous fluids. Zbl 1386.76001Giga, Yoshikazu; Novotný, Antonín 3 2018 On a dynamic boundary condition for singular degenerate parabolic equations in a half space. Zbl 1407.35096Giga, Yoshikazu; Hamamuki, Nao 3 2018 On large time behavior of growth by birth and spread. Zbl 1448.35007Giga, Yoshikazu 2 2018 Well-chosen weak solutions of the instationary Navier-Stokes system and their uniqueness. Zbl 1397.35170Farwig, Reinhard; Giga, Yoshikazu 2 2018 Errata to “Energetic variational approaches for incompressible fluid systems on an evolving surface”. Zbl 1375.49066Koba, Hajime; Liu, Chun; Giga, Yoshikazu 2 2018 Equivalence of BMO-type norms with applications to the heat and Stokes semigroups. Zbl 1395.30057Bolkart, Martin; Giga, Yoshikazu; Suzuki, Takuya; Tsutsui, Yohei 1 2018 Analyticity of the Stokes semigroup in BMO-type spaces. Zbl 1393.35160Bolkart, Martin; Giga, Yoshikazu; Suzuki, Takuya 1 2018 Energetic variational approaches for incompressible fluid systems on an evolving surface. Zbl 1358.37081Koba, Hajime; Liu, Chun; Giga, Yoshikazu 19 2017 Well-posedness of Hamilton-Jacobi equations with Caputo’s time fractional derivative. Zbl 1378.35324Giga, Yoshikazu; Namba, Tokinaga 18 2017 The Navier-Stokes equations with initial values in Besov spaces of type \(B^{-1+3/q}_{q,\infty}\). Zbl 1390.35229Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan 6 2017 Stability of a two-dimensional Poiseuille-type flow for a viscoelastic fluid. Zbl 1369.35057Endo, Masakazu; Giga, Yoshikazu; Götz, Dario; Liu, Chun 3 2017 On analyticity of the \(L^p\)-Stokes semigroup for some non-Helmholtz domains. Zbl 1379.35233Bolkart, Martin; Giga, Yoshikazu; Miura, Tatsu-Hiko; Suzuki, Takuya; Tsutsui, Yohei 3 2017 On the Stokes resolvent estimates for cylindrical domains. Zbl 1396.35045Abe, Ken; Giga, Yoshikazu; Schade, Katharina; Suzuki, Takuya 3 2017 Initial values for the Navier-Stokes equations in spaces with weights in time. Zbl 1364.35236Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan 9 2016 A level set crystalline mean curvature flow of surfaces. Zbl 1375.35264Giga, Yoshikazu; Požár, Norbert 7 2016 On asymptotic speed of solutions to level-set mean curvature flow equations with driving and source terms. Zbl 1355.35123Giga, Yoshikazu; Mitake, Hiroyoshi; Tran, Hung V. 5 2016 On \(L^\infty \)-BMO estimates for derivatives of the Stokes semigroup. Zbl 1354.35065Bolkart, Martin; Giga, Yoshikazu 2 2016 The work of Yoshihiro Shibata. Zbl 1337.01007Amann, 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 1328.35145Abe, Ken; Giga, Yoshikazu; Hieber, Matthias 18 2015 Eikonal equations in metric spaces. Zbl 1332.35076Giga, Yoshikazu; Hamamuki, Nao; Nakayasu, Atsushi 14 2015 A level set approach reflecting sheet structure with single auxiliary function for evolving spirals on crystal surfaces. Zbl 1331.53101Ohtsuka, T.; Tsai, Y.-H. R.; Giga, Y. 6 2015 On the Stokes semigroup in some non-Helmholtz domains. Zbl 1321.35009Abe, Ken; Giga, Yoshikazu; Schade, Katharina; Suzuki, Takuya 6 2015 A counterexample to finite time stopping property for one-harmonic map flow. Zbl 1321.35109Giga, Yoshikazu; Kuroda, Hirotoshi 2 2015 Bent rectangles as viscosity solutions over a circle. Zbl 1325.53085Giga, Yoshikazu; Górka, Przemysław; Rybka, Piotr 1 2015 Uniform exponential stability of the Ekman spiral. Zbl 1314.35101Giga, Yoshikazu; Saal, Jürgen 1 2015 The \(L^\infty\)-Stokes semigroup in exterior domains. Zbl 1293.35231Abe, Ken; Giga, Yoshikazu 26 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 1311.35044Giga, Yoshikazu; Hsu, Pen-Yuan; Maekawa, Yasunori 13 2014 Periodic total variation flow of non-divergence type in \(\mathbb R^n\). Zbl 1319.35103Giga, Mi-Ho; Giga, Yoshikazu; Požár, Norbert 9 2014 Erratum to: “A comparison principle for singular diffusion equations with spatially inhomogeneous driving force for graphs”. Zbl 1290.35023Giga, M.-H.; Giga, Y.; Rybka, P. 8 2014 Singular Neumann problems and large-time behavior of solutions of noncoercive Hamilton-Jacobi equations. Zbl 1286.35074Giga, Yoshikazu; Liu, Qing; Mitake, Hiroyoshi 7 2014 Fourth-order total variation flow with Dirichlet condition: characterization of evolution and extinction time estimates. Zbl 1327.35146Giga, Yoshikazu; Kuroda, Hirotoshi; Matsuoka, Hideki 4 2014 A comparison principle for singular diffusion equations with spatially inhomogeneous driving force for graphs. Zbl 1288.35137Giga, M.-H.; Giga, Y.; Rybka, P. 4 2014 On self-similar solutions to the surface diffusion flow equations with contact angle boundary conditions. Zbl 1332.35061Asai, Tomoro; Giga, Yoshikazu 2 2014 Analyticity of the Stokes semigroup in spaces of bounded functions. Zbl 1288.35383Abe, Ken; Giga, Yoshikazu 37 2013 Hamilton-Jacobi equations with discontinuous source terms. Zbl 1263.35066Giga, Yoshikazu; Hamamuki, Nao 11 2013 A remark on a Liouville problem with boundary for the Stokes and the Navier-Stokes equations. Zbl 1260.35112Giga, Yoshikazu 4 2013 Evolution of regular bent rectangles by the driven crystalline curvature flow in the plane with a non-uniform forcing term. Zbl 1295.35261Giga, Yoshikazu; Górka, Przemysław; Rybka, Piotr 3 2013 Anisotropic total variation flow of non-divergence type on a higher dimensional torus. Zbl 1291.35120Giga, Mi-Ho; Giga, Yoshikazu; Požár, Norbert 2 2013 On general existence results for one-dimensional singular diffusion equations with spatially inhomogeneous driving force. Zbl 1295.35279Giga, Mi-Ho; Giga, Yoshikazu; Nakayasu, Atsushi 2 2013 On representation of boundary integrals involving the mean curvature for mean-convex domains. Zbl 1298.53010Giga, Yoshikazu; Pisante, Giovanni 2 2013 On the role of kinetic and interfacial anisotropy in the crystal growth theory. Zbl 1286.35142Giga, Mi-Ho; Giga, Yoshikazu 1 2013 Interfaces and free boundaries: analysis, control and simulation. Abstracts from the workshop held March 24–30, 2013. Zbl 1349.00157Elliott, Charles M.; Giga, Yoshikazu; Hinze, Michael; Styles, Vanessa 1 2013 An approach to rotating boundary layers based on vector Radon measures. Zbl 1267.28013Giga, Yoshikazu; Saal, Jürgen 1 2013 Large-time asymptotics for one-dimensional Dirichlet problems for Hamilton-Jacobi equations with noncoercive Hamiltonians. Zbl 1230.35038Giga, Yoshikazu; Liu, Qing; Mitake, Hiroyoshi 10 2012 An area-minimizing scheme for anisotropic mean-curvature flow. Zbl 1275.35014Eto, Tokuhiro; Giga, Yoshikazu; Ishii, Katsuyuki 3 2012 An area minimizing scheme for anisotropic mean curvature flow. Zbl 1242.35013Eto, Tokuhiro; Giga, Yoshikazu; Ishii, Katsuyuki 1 2012 Scale-invariant extinction time estimates for some singular diffusion equations. Zbl 1223.35211Giga, Yoshikazu; Kohn, Robert V. 28 2011 On vorticity directions near singularities for the Navier-Stokes flows with infinite energy. Zbl 1216.35087Giga, Yoshikazu; Miura, Hideyuki 18 2011 Asymptotic behavior of type I blowup solutions to a parabolic-elliptic system of drift-diffusion type. Zbl 1270.35131Giga, Yoshikazu; Mizoguchi, Noriko; Senba, Takasi 10 2011 A comparison principle for Hamilton-Jacobi equations with discontinuous Hamiltonians. Zbl 1215.49035Giga, Yoshikazu; Górka, Przemysław; Rybka, Piotr 7 2011 \(L^1\) maximal regularity for the Laplacian and applications. Zbl 1306.35084Giga, Yoshikazu; Saal, Jürgen 3 2011 On a bound for amplitudes of Navier-Stokes flow with almost periodic initial data. Zbl 1270.35343Giga, Yoshikazu; Mahalov, Alex; Yoneda, Tsuyoshi 2 2011 On decay rate of quenching profile at space infinity for axisymmetric mean curvature flow. Zbl 1213.53087Giga, Yoshikazu; Seki, Yukihiro; Umeda, Noriaki 1 2011 Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions. Zbl 1215.35001Giga, Mi-Ho; Giga, Yoshikazu; Saal, Jürgen 55 2010 Very singular diffusion equations: second and fourth order problems. Zbl 1213.35274Giga, Mi-Ho; Giga, Yoshikazu 20 2010 Nonlocal spatially inhomogeneous Hamilton-Jacobi equation with unusual free boundary. Zbl 1183.49028Giga, Yoshikazu; Górka, Przemysław; Rybka, Piotr 5 2010 Facet bending driven by the planar crystalline curvature with a generic nonuniform forcing term. Zbl 1183.53061Giga, Yoshikazu; Rybka, Piotr 7 2009 Uniqueness of constant weakly anisotropic mean curvature immersion of sphere \(S^2\) in \(\mathbb{R}^3\). Zbl 1183.53053Giga, Yoshikazu; Zhai, Jian 5 2009 A billiard-based game interpretation of the Neumann problem for the curve shortening equation. Zbl 1170.35437Giga, Yoshikazu; Liu, Qing 5 2009 Mean curvature flow closes open ends of noncompact surfaces of rotation. Zbl 1183.53062Giga, Yoshikazu; Seki, Yukihiro; Umeda, Noriaki 2 2009 Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data. Zbl 1159.35055Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Saal, Jürgen 22 2008 Facet bending in the driven crystalline curvature flow in the plane. Zbl 1146.53037Giga, Yoshikazu; Rybka, Piotr 10 2008 A microscopic time scale approximation to the behavior of the local slope on the faceted surface under a nonuniformity in supersaturation. Zbl 1375.82118Yokoyama, Etsuro; Giga, Yoshikazu; Rybka, Piotr 9 2008 On time analyticity of the Navier-Stokes equations in a rotating frame with spatially almost periodic data. Zbl 1143.76417Giga, Yoshikazu; Jo, Hideaki; Mahalov, Alex; Yoneda, Tsuyoshi 8 2008 On instant blow-up for semilinear heat equations with growing initial data. Zbl 1170.35435Giga, Yoshikazu; Umeda, Noriaki 6 2008 Blow-up at space infinity for nonlinear heat equations. Zbl 1351.35072Giga, Yoshikazu; Seki, Yukihiro; Umeda, Noriaki 2 2008 Global solvability of the Navier-Stokes equations in spaces based on sum-closed frequency sets. Zbl 1144.76009Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Saal, Jürgen 10 2007 Rotating Navier-Stokes equations in \({\mathbb R}^{3}_{+}\) with initial data nondecreasing at infinity: The Ekman boundary layer problem. Zbl 1130.76025Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya; Saal, Jürgen 9 2007 The Cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data. Zbl 1170.35074Giga, Y.; Mahalov, A.; Nicolaenko, B. 7 2007 Global solvability of constrained singular diffusion equation associated with essential variation. Zbl 1119.35028Giga, Yoshikazu; Kuroda, Hirotoshi; Yamazaki, Noriaki 4 2007 Uniform local solvability for the Navier-Stokes equations with the Coriolis force. Zbl 1119.35049Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya 3 2007 On blow-up at space infinity for semilinear heat equations. Zbl 1134.35061Giga, Yoshikazu; Umeda, Noriaki 2 2007 Magnetic clusters and fold energies. Zbl 1119.49015Giga, Yoshikazu; Kubo, Motohiko; Tonegawa, Yoshihiro 1 2007 Surface evolution equations. A level set approach. Zbl 1096.53039Giga, Yoshikazu 118 2006 Navier-Stokes equations in a rotating frame in \(\mathbb R^3\) with initial data nondecreasing at infinity. Zbl 1192.35132Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya 19 2006 On blow-up at space infinity for semilinear heat equations. Zbl 1106.35029Giga, Yoshikazu; Umeda, Noriaki 17 2006 Stability of facets of crystals growing from vapor. Zbl 1095.35078Giga, Yoshikazu; Rybka, Piotr 7 2006 Self-similar expanding solutions in a sector for a crystalline flow. Zbl 1093.74048Giga, Mi-Ho; Giga, Yoshikazu; Hontani, Hidekata 6 2006 On a uniform approximation of motion by anisotropic curvature by the Allen-Cahn equations. Zbl 1106.35060Giga, Yoshikazu; Ohtsuka, Takeshi; Schätzle, Reiner 4 2006 Uniform local solvability for the Navier-Stokes equations with the Coriolis force. Zbl 1107.76023Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya 13 2005 Blow-up directions at space infinity for solutions of semilinear heat equations. Zbl 1173.35531Giga, Yoshikazu; Umeda, Noriaki 12 2005 Stability of facets of self-similar motion of a crystal. Zbl 1109.35122Giga, Yoshikazu; Rybka, Piotr 5 2005 On strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations. Zbl 1330.35151Giga, Yoshikazu; Ohnuma, Masaki 4 2005 Expanding selfsimilar solutions of a crystalline flow with applications to contour figure analysis. Zbl 1117.65036Hontani, Hidekata; Giga, Mi-Ho; Giga, Yoshikazu; Deguchi, Koichiro 3 2005 Blow up rate for semilinear heat equations with subcritical nonlinearity. Zbl 1058.35096Giga, Yoshikazu; Matsui, Shin’ya; Sasayama, Satoshi 56 2004 On blow-up rate for sign-changing solutions in a convex domain. Zbl 1066.35043Giga, Yoshikazu; Matsui, Shin’ya; Sasayama, Satoshi 19 2004 Local solvability of a constrained gradient system of total variation. Zbl 1068.35054Giga, Yoshikazu; Kashima, Yohei; Yamazaki, Noriaki 9 2004 On breakdown of solutions of a constrained gradient system of total variation. Zbl 1064.35084Giga, Yoshikazu; Kuroda, Hirotoshi 6 2004 A PDE approach for motion of phase-boundaries by a singular interfacial energy. Zbl 1130.35322Giga, Mi-Ho; Giga, Yoshikazu 4 2004 Singular diffusity – facets, shocks and more. Zbl 1144.35300Giga, Yoshikazu 3 2004 Existence of self-similar evolution of crystals grown from supersaturated vapor. Zbl 1075.35118Giga, Yoshikazu; Rybka, Piotr 1 2004 On regularizing-decay rate estimates for solutions to the Navier-Stokes initial value problem. Zbl 1080.35072Giga, Yoshikazu; Sawada, Okihiro 34 2003 A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations. Zbl 1013.65088Tsai, Yen-Hsi Richard; Giga, Yoshikazu; Osher, Stanley 12 2003 ...and 102 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,243 Authors 89 Giga, Yoshikazu 37 Winkler, Michael 30 Kozono, Hideo 28 Farwig, Reinhard 25 Souplet, Philippe 24 Hieber, Matthias 24 Sohr, Hermann 22 Liu, Qiao 22 Zaag, Hatem 21 Maremonti, Paolo 18 Guo, Jong-Shenq 18 Kang, Kyungkeun 18 Rybka, Piotr 18 Zhao, Jihong 17 Mizoguchi, Noriko 17 Zheng, Sining 16 Liu, Qing 16 Shimizu, Senjo 15 Maekawa, Yasunori 14 Ferreira, Lucas Catão de Freitas 14 Gala, Sadek 14 He, Cheng 14 Novaga, Matteo 14 Ogawa, Takayoshi 13 Chang, Tongkeun 13 Cui, Shangbin 13 Ishige, Kazuhiro 12 Chae, Dongho 12 Fila, Marek 12 Herrero, Miguel Ángel 12 Merle, Frank 12 Zhang, Zhifei 11 Amrouche, Chérif 11 Jin, Bum Ja 11 Miao, Changxing 11 Mitake, Hiroyoshi 11 Quittner, Pavol 11 Seregin, Gregory A. 11 Wei, Juncheng 10 Barker, Tobias 10 Barles, Guy 10 Bellettini, Giovanni 10 Chambolle, Antonin 10 Fan, Jishan 10 Galaktionov, Victor Aleksandrovich 10 Gallay, Thierry 10 Lee, Jihoon 10 Liu, Chun 10 Miyakawa, Tetsuro 10 Prüß, Jan Wilhelm 10 Rossi, Julio Daniel 10 Souganidis, Panagiotis E. 10 Taniuchi, Yasushi 10 Tsai, Tai-Peng 10 Velázquez, Juan J. 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