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## Giga, Yoshikazu

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 Author ID: giga.yoshikazu Published as: Giga, Y.; Giga, Yoshikazu
 Documents Indexed: 247 Publications since 1981, including 9 Books Biographic References: 2 Publications
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#### 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 Saal, Jürgen 7 Sato, Moto-Hiko 6 Miyakawa, Tetsuro 6 Yoshida, Zensho 5 Abe, Ken 5 Hsu, Pen-Yuan 5 Kohn, Robert Vita 5 Liu, Qing 5 Mitake, Hiroyoshi 5 Mizoguchi, Noriko 5 Požár, Norbert 5 Suzuki, Takuya 4 Bolkart, Martin 4 Elliott, Charles M. 4 Farwig, Reinhard 4 Górka, Przemysław 4 Hontani, Hidekata 4 Hussein, Amru 4 Ishii, Hitoshi 4 Ito, Kazuo 4 Kashiwabara, Takahito 4 Kobayashi, Ryo 4 Kuroda, Hirotoshi 3 Deguchi, Koichiro 3 Gries, Mathis Yannik 3 Hamamuki, Nao 3 Hinze, Michael 3 Kozono, Hideo 3 Liu, Chun 3 Ohtsuka, Takeshi 3 Sawada, Okihiro 3 Seki, Yukihiro 3 Sohr, Hermann 3 Styles, Vanessa 3 Tran Vinh Hung 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 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 Adachi, Tsuyoshi 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 Hishida, Toshiaki 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 ...and 43 more Co-Authors
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#### 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 5 Indiana University Mathematics Journal 5 Journal of Differential Equations 5 Japan Journal of Industrial and Applied Mathematics 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 Differential and Integral Equations 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 1 Discrete Applied Mathematics 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 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 Advanced Studies in Pure 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
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#### Fields

 218 Partial differential equations (35-XX) 68 Fluid mechanics (76-XX) 41 Differential geometry (53-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 20 Mechanics of deformable solids (74-XX) 19 Operator theory (47-XX) 15 General and overarching topics; collections (00-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 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 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

204 Publications have been cited 3,924 times in 2,344 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
1986
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. Zbl 0696.35087
Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi
1991
Asymptotically self-similar blow-up of semilinear heat equations. Zbl 0585.35051
Giga, Yoshikazu; Kohn, Robert V.
1985
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
1991
Characterizing blowup using similarity variables. Zbl 0601.35052
Giga, Yoshikazu; Kohn, Robert V.
1987
Solutions in $$L_ r$$ of the Navier-Stokes initial value problem. Zbl 0587.35078
Giga, Yoshikazu; Miyakawa, Tetsuro
1985
Nondegeneracy of blow up for semilinear heat equations. Zbl 0703.35020
Giga, Yoshikazu; Kohn, Robert V.
1989
Surface evolution equations. A level set approach. Zbl 1096.53039
Giga, Yoshikazu
2006
Analyticity of the semigroup generated by the Stokes operator in $$L_r$$ spaces. Zbl 0473.35064
Giga, Yoshikazu
1981
Navier-Stokes flow in $$R^ 3$$ with measures as initial vorticity and Morrey spaces. Zbl 0681.35072
Giga, Yoshikazu; Miyakawa, Tetsuro
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.
1991
Domains of fractional powers of the Stokes operator in $$L_ r$$ spaces. Zbl 0584.76037
Giga, Yoshikazu
1985
A bound for global solutions of semilinear heat equations. Zbl 0595.35057
Giga, Yoshikazu
1986
Two-dimensional Navier-Stokes flow with measures as initial vorticity. Zbl 0666.76052
Giga, Yoshikazu; Miyakawa, Tetsuro; Osada, Hirofumi
1988
Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions. Zbl 1215.35001
Giga, Mi-Ho; Giga, Yoshikazu; Saal, Jürgen
2010
Blow up rate for semilinear heat equations with subcritical nonlinearity. Zbl 1058.35096
Giga, Yoshikazu; Matsui, Shin’ya; Sasayama, Satoshi
2004
Remarks on spectra of operator rot. Zbl 0676.47012
Yoshida, Zensho; Giga, Yoshikazu
1990
Mean curvature flow through singularities for surfaces of rotation. Zbl 0847.58072
Altschuler, Steven; Angenent, Sigurd B.; Giga, Yoshikazu
1995
A single point blow-up for solutions of semilinear parabolic systems. Zbl 0648.35042
Friedman, Avner; Giga, Yoshikazu
1987
On the Cauchy problem for the Navier-Stokes equations with nondecaying initial data. Zbl 0961.35110
Giga, Yoshikazu; Inui, Katsuya; Matsui, Shin’ya
1999
Analyticity of the Stokes semigroup in spaces of bounded functions. Zbl 1288.35383
Abe, Ken; Giga, Yoshikazu
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
1999
On regularizing-decay rate estimates for solutions to the Navier-Stokes initial value problem. Zbl 1080.35072
2003
Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity. Zbl 0992.35066
Giga, Y.; Matsui, S.; Sawada, O.
2001
The Stokes operator in $$L_ R$$ spaces. Zbl 0471.35069
Giga, Yoshikazu
1981
Evolving graphs by singular weighted curvature. Zbl 0896.35069
Giga, Mi-Ho; Giga, Yoshikazu
1998
Large time behavior of the vorticity two-dimensional viscous flow and its application to vortex formation. Zbl 0661.76018
Giga, Yoshikazu; Kambe, Tsutomu
1988
A kinetic construction of global solutions of first order quasilinear equations. Zbl 0519.35053
Giga, Yoshikazu; Miyakawa, Tetsuro
1983
On estimates in Hardy spaces for the Stokes flow in a half space. Zbl 0928.35118
Giga, Yoshikazu; Matsui, Shin’ya; Shimizu, Yasuyuki
1999
Scale-invariant extinction time estimates for some singular diffusion equations. Zbl 1223.35211
Giga, Yoshikazu; Kohn, Robert V.
2011
Equations with singular diffusivity. Zbl 0952.74014
Kobayashi, R.; Giga, Y.
1999
The $$L^\infty$$-Stokes semigroup in exterior domains. Zbl 1293.35231
Abe, Ken; Giga, Yoshikazu
2014
Generalized motion by nonlocal curvature in the plane. Zbl 1004.35075
Giga, Mi-Ho; Giga, Yoshikazu
2001
Motion of hypersurfaces and geometric equations. Zbl 0739.53005
Giga, Yoshikazu; Goto, Shun’ichi
1992
Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data. Zbl 1159.35055
Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Saal, Jürgen
2008
Very singular diffusion equations: second and fourth order problems. Zbl 1213.35274
Giga, Mi-Ho; Giga, Yoshikazu
2010
Motion of a graph by nonsmooth weighted curvature. Zbl 0860.35061
Fukui, Toshihide; Giga, Yoshikazu
1996
Interior derivative blow-up for quasilinear parabolic equations. Zbl 0878.35015
Giga, Yoshikazu
1995
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. Zbl 0735.35082
Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi
1989
Weak and strong solutions of the Navier-Stokes initial value problem. Zbl 0547.35101
Giga, Yoshikazu
1983
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
2006
On blow-up rate for sign-changing solutions in a convex domain. Zbl 1066.35043
Giga, Yoshikazu; Matsui, Shin’ya; Sasayama, Satoshi
2004
Very singular diffusion equations. Zbl 1002.35074
Giga, Mi-Ho; Giga, Yoshikazu; Kobayashi, Ryo
2001
Stokes resolvent estimates in spaces of bounded functions. Zbl 1328.35145
Abe, Ken; Giga, Yoshikazu; Hieber, Matthias
2015
On vorticity directions near singularities for the Navier-Stokes flows with infinite energy. Zbl 1216.35087
Giga, Yoshikazu; Miura, Hideyuki
2011
On blow-up at space infinity for semilinear heat equations. Zbl 1106.35029
Giga, Yoshikazu; Umeda, Noriaki
2006
Variational integrals on mappings of bounded variation and their lower semicontinuity. Zbl 0737.49011
Aviles, Patricio; Giga, Yoshikazu
1991
Global existence of weak solutions for interface equations coupled with diffusion equations. Zbl 0754.35061
Giga, Yoshikazu; Goto, Shun’ichi; Ishii, Hitoshi
1992
A level set approach to semicontinuous viscosity solutions for Cauchy problems. Zbl 1005.49025
Giga, Yoshikazu; Sato, Moto-Hiko
2001
A comparison theorem for crystalline evolution in the plane. Zbl 0862.35047
Giga, Yoshikazu; Gurtin, Morton E.
1996
Energetic variational approaches for incompressible fluid systems on an evolving surface. Zbl 1358.37081
Koba, Hajime; Liu, Chun; Giga, Yoshikazu
2017
Existence of selfsimilar shrinking curves for anisotropic curvature flow equations. Zbl 0847.34042
Dohmen, Claus; Giga, Yoshikazu; Mizoguchi, Noriko
1996
Time and spatial analyticity of solutions of the Navier-Stokes equations. Zbl 0519.35067
Giga, Yoshikazu
1983
Eikonal equations in metric spaces. Zbl 1332.35076
Giga, Yoshikazu; Hamamuki, Nao; Nakayasu, Atsushi
2015
Well-posedness of Hamilton-Jacobi equations with Caputo’s time fractional derivative. Zbl 1378.35324
Giga, Yoshikazu; Namba, Tokinaga
2017
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
2014
Blow-up directions at space infinity for solutions of semilinear heat equations. Zbl 1173.35531
Giga, Yoshikazu; Umeda, Noriaki
2005
A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations. Zbl 1013.65088
Tsai, Yen-Hsi Richard; Giga, Yoshikazu; Osher, Stanley
2003
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
2000
On the dynamics of crystalline motions. Zbl 1306.74038
Giga, Yoshikazu; Gurtin, Morton E.; Matias, Jose’
1998
On global weak solutions of the nonstationary two-phase Stokes flow. Zbl 0806.35137
Giga, Yoshikazu; Takahashi, Shuji
1994
On the Ohm-Navier-Stokes system in magnetohydrodynamics. Zbl 0533.76125
Yoshida, Zensho; Giga, Yoshikazu
1983
Uniform local solvability for the Navier-Stokes equations with the Coriolis force. Zbl 1107.76023
Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya
2005
Loss of convexity of simple closed curves moved by surface diffusion. Zbl 0921.35072
Giga, Yoshikazu; Ito, Kazuo
1999
Selfsimilar shrinking curves for anisotropic curvature flow equations. Zbl 0815.34026
Dohmen, Claus; Giga, Yoshikazu
1994
On elliptic equations related to self-similar solutions for nonlinear heat equations. Zbl 0626.35033
Giga, Yoshikazu
1986
Hamilton-Jacobi equations with discontinuous source terms. Zbl 1263.35066
Giga, Yoshikazu; Hamamuki, Nao
2013
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
2011
Facet bending in the driven crystalline curvature flow in the plane. Zbl 1146.53037
Giga, Yoshikazu; Rybka, Piotr
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
2007
Stability for evolving graphs by nonlocal weighted curvature. Zbl 0924.35177
Giga, Mi-Ho; Giga, Yoshikazu
1999
On pinching of curves moved by surface diffusion. Zbl 0894.35049
Giga, Y.; Ito, K.
1998
Geometric evolution of phase-boundaries. Zbl 0771.35027
Giga, Yoshikazu; Goto, Shun’ichi
1992
Initial values for the Navier-Stokes equations in spaces with weights in time. Zbl 1364.35236
Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan
2016
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.
2014
Large-time asymptotics for one-dimensional Dirichlet problems for Hamilton-Jacobi equations with noncoercive Hamiltonians. Zbl 1230.35038
Giga, Yoshikazu; Liu, Qing; Mitake, Hiroyoshi
2012
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
2008
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
2007
Local solvability of a constrained gradient system of total variation. Zbl 1068.35054
Giga, Yoshikazu; Kashima, Yohei; Yamazaki, Noriaki
2004
On the motion by singular interfacial energy. Zbl 0984.35090
Giga, Yoshikazu; Paolini, Maurizio; Rybka, Piotr
2001
$$L^ p$$ estimates for the Stokes system. Zbl 0804.47019
Giga, Mariko; Giga, Yoshikazu; Sohr, Hermann
1993
Neumann problem for singular degenerate parabolic equations. Zbl 0806.35098
Giga, Yoshikazu; Sato, Moto-Hiko
1993
On the equations of the two-component theory in magnetohydrodynamics. Zbl 0547.76122
Giga, Yoshikazu; Yoshida, Zensho
1984
On a resolvent estimate for bidomain operators and its applications. Zbl 1380.35033
Giga, Yoshikazu; Kajiwara, Naoto
2018
Periodic total variation flow of non-divergence type in $$\mathbb R^n$$. Zbl 1319.35103
Giga, Mi-Ho; Giga, Yoshikazu; Požár, Norbert
2014
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
2008
The Cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data. Zbl 1170.35074
Giga, Y.; Mahalov, A.; Nicolaenko, B.
2007
Remarks on the uniqueness of bounded solutions of the Navier-Stokes equations. Zbl 1042.35604
Giga, Yoshikazu; Inui, Katsuya; Kato, Jun; Matsui, Shin’ya
2001
A subdifferential interpretation of crystalline motion under nonuniform driving force. Zbl 1304.35674
Giga, Mi-Ho; Giga, Yoshikazu
1998
The distance function and defect energy. Zbl 0878.49017
Aviles, Patricio; Giga, Yoshikazu
1996
On a lower bound for the extinction time of surfaces moved by mean curvature. Zbl 0854.53011
Giga, Yoshikazu; Yama-uchi, Kazuyuki
1993
Generalized interface evolution with the Neumann boundary condition. Zbl 0786.35076
Giga, Yoshikazu; Sato, Moto-Hiko
1991
Singularities and rank one properties of Hessian measures. Zbl 0711.49062
Aviles, Patricio; Giga, Yoshikazu
1989
A nonlinear semigroup approach to the Navier-Stokes system. Zbl 0547.35103
Yoshida, Zensho; Giga, Yoshikazu
1984
Singular Neumann problems and large-time behavior of solutions of noncoercive Hamilton-Jacobi equations. Zbl 1286.35074
Giga, Yoshikazu; Liu, Qing; Mitake, Hiroyoshi
2014
A comparison principle for Hamilton-Jacobi equations with discontinuous Hamiltonians. Zbl 1215.49035
Giga, Yoshikazu; Górka, Przemysław; Rybka, Piotr
2011
Facet bending driven by the planar crystalline curvature with a generic nonuniform forcing term. Zbl 1183.53061
Giga, Yoshikazu; Rybka, Piotr
2009
Stability of facets of crystals growing from vapor. Zbl 1095.35078
Giga, Yoshikazu; Rybka, Piotr
2006
On constrained equations with singular diffusivity. Zbl 1058.58006
Giga, Yoshikazu; Kobayashi, Ryo
2003
Berg’s effect. Zbl 1051.35112
Giga, Yoshikazu; Rybka, Piotr
2003
Analyticity of solutions to the primitive equations. Zbl 07198939
Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito
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
2020
On obstacle problem for mean curvature flow with driving force. Zbl 1442.35197
Giga, Yoshikazu; Tran, Hung V.; Zhang, Longjie
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
2019
Strong time-periodic solutions to the bidomain equations with arbitrary large forces. Zbl 07030192
Giga, Yoshikazu; Kajiwara, Naoto; Kress, Klaus
2019
On a resolvent estimate for bidomain operators and its applications. Zbl 1380.35033
Giga, Yoshikazu; Kajiwara, Naoto
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
2018
On a dynamic boundary condition for singular degenerate parabolic equations in a half space. Zbl 1407.35096
Giga, Yoshikazu; Hamamuki, Nao
2018
Handbook of mathematical analysis in mechanics of viscous fluids. Zbl 1386.76001
Giga, Yoshikazu (ed.); Novotný, Antonín (ed.)
2018
Well-chosen weak solutions of the instationary Navier-Stokes system and their uniqueness. Zbl 1397.35170
Farwig, Reinhard; Giga, Yoshikazu
2018
Global well posedness for a two-fluid model. Zbl 06837094
Giga, Yoshikazu; Ibrahim, Slim; Shen, Shengyi; Yoneda, Tsuyoshi
2018
On large time behavior of growth by birth and spread. Zbl 1448.35007
Giga, Yoshikazu
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
2018
Analyticity of the Stokes semigroup in BMO-type spaces. Zbl 1393.35160
Bolkart, Martin; Giga, Yoshikazu; Suzuki, Takuya
2018
Energetic variational approaches for incompressible fluid systems on an evolving surface. Zbl 1358.37081
Koba, Hajime; Liu, Chun; Giga, Yoshikazu
2017
Well-posedness of Hamilton-Jacobi equations with Caputo’s time fractional derivative. Zbl 1378.35324
Giga, Yoshikazu; Namba, Tokinaga
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
2017
Bounded $$H^{\infty }$$-calculus for the hydrostatic Stokes operator on $$L^p$$-spaces and applications. Zbl 06740482
Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito
2017
On the Stokes resolvent estimates for cylindrical domains. Zbl 1396.35045
Abe, Ken; Giga, Yoshikazu; Schade, Katharina; Suzuki, Takuya
2017
Stability of a two-dimensional Poiseuille-type flow for a viscoelastic fluid. Zbl 1369.35057
Endo, Masakazu; Giga, Yoshikazu; Götz, Dario; Liu, Chun
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
2017
Initial values for the Navier-Stokes equations in spaces with weights in time. Zbl 1364.35236
Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan
2016
A level set crystalline mean curvature flow of surfaces. Zbl 1375.35264
Giga, Yoshikazu; Požár, Norbert
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.
2016
On $$L^\infty$$-BMO estimates for derivatives of the Stokes semigroup. Zbl 1354.35065
Bolkart, Martin; Giga, Yoshikazu
2016
The work of Yoshihiro Shibata. Zbl 1337.01007
Amann, Herbert; Giga, Yoshikazu; Okamoto, Hisashi; Kozono, Hideo; Yamazaki, Masaso
2016
Stokes resolvent estimates in spaces of bounded functions. Zbl 1328.35145
Abe, Ken; Giga, Yoshikazu; Hieber, Matthias
2015
Eikonal equations in metric spaces. Zbl 1332.35076
Giga, Yoshikazu; Hamamuki, Nao; Nakayasu, Atsushi
2015
On the Stokes semigroup in some non-Helmholtz domains. Zbl 1321.35009
Abe, Ken; Giga, Yoshikazu; Schade, Katharina; Suzuki, Takuya
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.
2015
A counterexample to finite time stopping property for one-harmonic map flow. Zbl 1321.35109
Giga, Yoshikazu; Kuroda, Hirotoshi
2015
Bent rectangles as viscosity solutions over a circle. Zbl 1325.53085
Giga, Yoshikazu; Górka, Przemysław; Rybka, Piotr
2015
Uniform exponential stability of the Ekman spiral. Zbl 1314.35101
Giga, Yoshikazu; Saal, Jürgen
2015
The $$L^\infty$$-Stokes semigroup in exterior domains. Zbl 1293.35231
Abe, Ken; Giga, Yoshikazu
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
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.
2014
Periodic total variation flow of non-divergence type in $$\mathbb R^n$$. Zbl 1319.35103
Giga, Mi-Ho; Giga, Yoshikazu; Požár, Norbert
2014
Singular Neumann problems and large-time behavior of solutions of noncoercive Hamilton-Jacobi equations. Zbl 1286.35074
Giga, Yoshikazu; Liu, Qing; Mitake, Hiroyoshi
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.
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
2014
On self-similar solutions to the surface diffusion flow equations with contact angle boundary conditions. Zbl 1332.35061
Asai, Tomoro; Giga, Yoshikazu
2014
Analyticity of the Stokes semigroup in spaces of bounded functions. Zbl 1288.35383
Abe, Ken; Giga, Yoshikazu
2013
Hamilton-Jacobi equations with discontinuous source terms. Zbl 1263.35066
Giga, Yoshikazu; Hamamuki, Nao
2013
A remark on a Liouville problem with boundary for the Stokes and the Navier-Stokes equations. Zbl 1260.35112
Giga, Yoshikazu
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
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
2013
Interfaces and free boundaries: analysis, control and simulation. Abstracts from the workshop held March 24–30, 2013. Zbl 1349.00157
Elliott, Charles M. (ed.); Giga, Yoshikazu (ed.); Hinze, Michael (ed.); Styles, Vanessa (ed.)
2013
On representation of boundary integrals involving the mean curvature for mean-convex domains. Zbl 1298.53010
Giga, Yoshikazu; Pisante, Giovanni
2013
On the role of kinetic and interfacial anisotropy in the crystal growth theory. Zbl 1286.35142
Giga, Mi-Ho; Giga, Yoshikazu
2013
Anisotropic total variation flow of non-divergence type on a higher dimensional torus. Zbl 1291.35120
Giga, Mi-Ho; Giga, Yoshikazu; Požár, Norbert
2013
An approach to rotating boundary layers based on vector Radon measures. Zbl 1267.28013
Giga, Yoshikazu; Saal, Jürgen
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
2012
An area-minimizing scheme for anisotropic mean-curvature flow. Zbl 1275.35014
Eto, Tokuhiro; Giga, Yoshikazu; Ishii, Katsuyuki
2012
An area minimizing scheme for anisotropic mean curvature flow. Zbl 1242.35013
Eto, Tokuhiro; Giga, Yoshikazu; Ishii, Katsuyuki
2012
Scale-invariant extinction time estimates for some singular diffusion equations. Zbl 1223.35211
Giga, Yoshikazu; Kohn, Robert V.
2011
On vorticity directions near singularities for the Navier-Stokes flows with infinite energy. Zbl 1216.35087
Giga, Yoshikazu; Miura, Hideyuki
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
2011
A comparison principle for Hamilton-Jacobi equations with discontinuous Hamiltonians. Zbl 1215.49035
Giga, Yoshikazu; Górka, Przemysław; Rybka, Piotr
2011
$$L^1$$ maximal regularity for the Laplacian and applications. Zbl 1306.35084
Giga, Yoshikazu; Saal, Jürgen
2011
On a bound for amplitudes of Navier-Stokes flow with almost periodic initial data. Zbl 1270.35343
Giga, Yoshikazu; Mahalov, Alex; Yoneda, Tsuyoshi
2011
On decay rate of quenching profile at space infinity for axisymmetric mean curvature flow. Zbl 1213.53087
Giga, Yoshikazu; Seki, Yukihiro; Umeda, Noriaki
2011
Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions. Zbl 1215.35001
Giga, Mi-Ho; Giga, Yoshikazu; Saal, Jürgen
2010
Very singular diffusion equations: second and fourth order problems. Zbl 1213.35274
Giga, Mi-Ho; Giga, Yoshikazu
2010
Nonlocal spatially inhomogeneous Hamilton-Jacobi equation with unusual free boundary. Zbl 1183.49028
Giga, Yoshikazu; Górka, Przemysław; Rybka, Piotr
2010
Facet bending driven by the planar crystalline curvature with a generic nonuniform forcing term. Zbl 1183.53061
Giga, Yoshikazu; Rybka, Piotr
2009
Uniqueness of constant weakly anisotropic mean curvature immersion of sphere $$S^2$$ in $$\mathbb{R}^3$$. Zbl 1183.53053
Giga, Yoshikazu; Zhai, Jian
2009
A billiard-based game interpretation of the Neumann problem for the curve shortening equation. Zbl 1170.35437
Giga, Yoshikazu; Liu, Qing
2009
Mean curvature flow closes open ends of noncompact surfaces of rotation. Zbl 1183.53062
Giga, Yoshikazu; Seki, Yukihiro; Umeda, Noriaki
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
2008
Facet bending in the driven crystalline curvature flow in the plane. Zbl 1146.53037
Giga, Yoshikazu; Rybka, Piotr
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
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
2008
On instant blow-up for semilinear heat equations with growing initial data. Zbl 1170.35435
Giga, Yoshikazu; Umeda, Noriaki
2008
Blow-up at space infinity for nonlinear heat equations. Zbl 1351.35072
Giga, Yoshikazu; Seki, Yukihiro; Umeda, Noriaki
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
2007
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
2007
The Cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data. Zbl 1170.35074
Giga, Y.; Mahalov, A.; Nicolaenko, B.
2007
Global solvability of constrained singular diffusion equation associated with essential variation. Zbl 1119.35028
Giga, Yoshikazu; Kuroda, Hirotoshi; Yamazaki, Noriaki
2007
Uniform local solvability for the Navier-Stokes equations with the Coriolis force. Zbl 1119.35049
Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya
2007
On blow-up at space infinity for semilinear heat equations. Zbl 1134.35061
Giga, Yoshikazu; Umeda, Noriaki
2007
Magnetic clusters and fold energies. Zbl 1119.49015
Giga, Yoshikazu; Kubo, Motohiko; Tonegawa, Yoshihiro
2007
Surface evolution equations. A level set approach. Zbl 1096.53039
Giga, Yoshikazu
2006
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
2006
On blow-up at space infinity for semilinear heat equations. Zbl 1106.35029
Giga, Yoshikazu; Umeda, Noriaki
2006
Stability of facets of crystals growing from vapor. Zbl 1095.35078
Giga, Yoshikazu; Rybka, Piotr
2006
Self-similar expanding solutions in a sector for a crystalline flow. Zbl 1093.74048
Giga, Mi-Ho; Giga, Yoshikazu; Hontani, Hidekata
2006
On a uniform approximation of motion by anisotropic curvature by the Allen-Cahn equations. Zbl 1106.35060
Giga, Yoshikazu; Ohtsuka, Takeshi; Schätzle, Reiner
2006
Blow-up directions at space infinity for solutions of semilinear heat equations. Zbl 1173.35531
Giga, Yoshikazu; Umeda, Noriaki
2005
Uniform local solvability for the Navier-Stokes equations with the Coriolis force. Zbl 1107.76023
Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya
2005
Stability of facets of self-similar motion of a crystal. Zbl 1109.35122
Giga, Yoshikazu; Rybka, Piotr
2005
On strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations. Zbl 1330.35151
Giga, Yoshikazu; Ohnuma, Masaki
2005
Expanding selfsimilar solutions of a crystalline flow with applications to contour figure analysis. Zbl 1117.65036
Hontani, Hidekata; Giga, Mi-Ho; Giga, Yoshikazu; Deguchi, Koichiro
2005
Blow up rate for semilinear heat equations with subcritical nonlinearity. Zbl 1058.35096
Giga, Yoshikazu; Matsui, Shin’ya; Sasayama, Satoshi
2004
On blow-up rate for sign-changing solutions in a convex domain. Zbl 1066.35043
Giga, Yoshikazu; Matsui, Shin’ya; Sasayama, Satoshi
2004
Local solvability of a constrained gradient system of total variation. Zbl 1068.35054
Giga, Yoshikazu; Kashima, Yohei; Yamazaki, Noriaki
2004
On breakdown of solutions of a constrained gradient system of total variation. Zbl 1064.35084
Giga, Yoshikazu; Kuroda, Hirotoshi
2004
A PDE approach for motion of phase-boundaries by a singular interfacial energy. Zbl 1130.35322
Giga, Mi-Ho; Giga, Yoshikazu
2004
Singular diffusity – facets, shocks and more. Zbl 1144.35300
Giga, Yoshikazu
2004
Existence of self-similar evolution of crystals grown from supersaturated vapor. Zbl 1075.35118
Giga, Yoshikazu; Rybka, Piotr
2004
On regularizing-decay rate estimates for solutions to the Navier-Stokes initial value problem. Zbl 1080.35072
2003
...and 104 more Documents
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#### Cited by 2,217 Authors

 86 Giga, Yoshikazu 32 Winkler, Michael 29 Kozono, Hideo 27 Farwig, Reinhard 24 Sohr, Hermann 24 Souplet, Philippe 23 Hieber, Matthias 23 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 15 Shimizu, Senjo 14 Cui, Shangbin 14 Ferreira, Lucas Catão de Freitas 14 He, Cheng 14 Novaga, Matteo 14 Ogawa, Takayoshi 13 Gala, Sadek 13 Ishige, Kazuhiro 13 Maekawa, Yasunori 12 Chae, Dongho 12 Chang, Tongkeun 12 Fila, Marek 12 Herrero, Miguel Ángel 12 Merle, Frank 12 Zhang, Zhifei 11 Amrouche, Chérif 11 Liu, Qing 11 Miao, Changxing 10 Barles, Guy 10 Bellettini, Giovanni 10 Fan, Jishan 10 Galaktionov, Victor Aleksandrovich 10 Gallay, Thierry 10 Jin, Bum Ja 10 Miyakawa, Tetsuro 10 Prüß, Jan Wilhelm 10 Rossi, Julio Daniel 10 Seregin, Gregory A. 10 Souganidis, Panagiotis E. 10 Taniuchi, Yasushi 10 Tsai, Tai-Peng 10 Velázquez, Juan J. L. 9 Biler, Piotr 9 Caselles Costa, Vicent 9 Chambolle, Antonin 9 Fujishima, Yohei 9 Galdi, Giovanni Paolo 9 Han, Pigong 9 Hu, Bei 9 Karch, Grzegorz 9 Lee, Jihoon 9 Quittner, Pavol 9 Shibata, Yoshihiro 9 Tayachi, Slim 9 Xie, Chunhong 9 Yoshida, Zensho 8 Barker, Tobias 8 Chen, Qionglei 8 Chen, Xinfu 8 Colding, Tobias Holck 8 Escobedo Martínez, Miguel 8 Fang, Daoyuan 8 Ignat, Radu 8 Liu, Bingchen 8 Liu, Chun 8 Matano, Hiroshi 8 Mitake, Hiroyoshi 8 Perthame, Benoît 8 Wei, Juncheng 8 Weissler, Fred B. 8 Yazaki, Shigetoshi 8 Yin, Jingxue 8 Yoneda, Tsuyoshi 8 Yuan, Baoquan 7 Abe, Ken 7 Beirão da Veiga, Hugo 7 Camilli, Fabio 7 Choe, Hi Jun 7 Hamamuki, Nao 7 Hishida, Toshiaki 7 Koba, Hajime 7 Li, Fengjie 7 Lin, Zhigui 7 Liu, Jianguo 7 McCoy, James Alexander 7 Minicozzi, William Philip II 7 Monneau, Régis 7 Morini, Massimiliano 7 Mucha, Piotr Bogusław 7 Nguyen, Van Tien 7 Osher, Stanley Joel 7 Ozawa, Tohru 7 Qi, Yuanwei 7 Saal, Jürgen ...and 2,117 more Authors
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#### Cited in 276 Serials

 215 Journal of Differential Equations 136 Journal of Mathematical Analysis and Applications 124 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 92 Archive for Rational Mechanics and Analysis 71 Journal of Functional Analysis 67 Calculus of Variations and Partial Differential Equations 65 Journal of Mathematical Fluid Mechanics 60 Mathematische Annalen 58 Communications in Partial Differential Equations 46 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 40 Journal of Mathematical Physics 38 Discrete and Continuous Dynamical Systems 35 Transactions of the American Mathematical Society 34 Mathematical Methods in the Applied Sciences 32 Communications in Mathematical Physics 30 SIAM Journal on Mathematical Analysis 28 Journal de Mathématiques Pures et Appliquées. Neuvième Série 28 Journal of Evolution Equations 27 Proceedings of the American Mathematical Society 25 Journal of Computational Physics 25 Nonlinear Analysis. Real World Applications 25 Communications on Pure and Applied Analysis 24 ZAMP. Zeitschrift für angewandte Mathematik und Physik 24 Nonlinear Analysis. Theory, Methods & Applications 23 NoDEA. Nonlinear Differential Equations and Applications 22 Applied Mathematics Letters 20 Annali di Matematica Pura ed Applicata. Serie Quarta 20 Mathematische Zeitschrift 19 Physica D 18 Comptes Rendus. Mathématique. Académie des Sciences, Paris 17 Communications on Pure and Applied Mathematics 17 The Journal of Geometric Analysis 17 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 16 Applicable Analysis 16 Computers & Mathematics with Applications 15 Proceedings of the Japan Academy. Series A 15 Japan Journal of Industrial and Applied Mathematics 15 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 15 Boundary Value Problems 13 Applied Mathematics and Computation 13 Journal of Computational and Applied Mathematics 13 Discrete and Continuous Dynamical Systems. Series S 12 Nonlinearity 12 Advances in Mathematics 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 11 Tohoku Mathematical Journal. Second Series 11 Discrete and Continuous Dynamical Systems. Series B 10 Archiv der Mathematik 10 Journal für die Reine und Angewandte Mathematik 10 Manuscripta Mathematica 10 Quarterly of Applied Mathematics 10 Acta Applicandae Mathematicae 9 Acta Mathematica 9 Duke Mathematical Journal 9 Journal of the Mathematical Society of Japan 9 Acta Mathematicae Applicatae Sinica. English Series 9 Journal of Dynamics and Differential Equations 9 Journal of Mathematical Sciences (New York) 9 Acta Mathematica Sinica. English Series 9 Communications in Contemporary Mathematics 8 Mathematische Nachrichten 8 Numerische Mathematik 8 Abstract and Applied Analysis 8 Advances in Nonlinear Analysis 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 7 Chinese Annals of Mathematics. Series B 7 Journal of Scientific Computing 7 Science China. Mathematics 6 Journal d’Analyse Mathématique 6 Mathematics of Computation 6 Inventiones Mathematicae 6 Interfaces and Free Boundaries 5 Rocky Mountain Journal of Mathematics 5 Czechoslovak Mathematical Journal 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Science in China. Series A 5 Journal of Nonlinear Science 5 Applied Mathematics. Series B (English Edition) 5 Bulletin des Sciences Mathématiques 5 Journal of the European Mathematical Society (JEMS) 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 5 Analysis & PDE 4 Journal of Fluid Mechanics 4 Journal of Statistical Physics 4 SIAM Journal on Control and Optimization 4 SIAM Journal on Numerical Analysis 4 Applied Numerical Mathematics 4 Journal of the American Mathematical Society 4 European Journal of Applied Mathematics 4 Applications of Mathematics 4 Numerical Algorithms 4 Bulletin of the American Mathematical Society. New Series 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 SIAM Journal on Scientific Computing 4 Annals of Mathematics. Second Series 4 Analysis (München) 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Differential Equations and Applications 4 Geometric Flows ...and 176 more Serials
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#### Cited in 51 Fields

 2,032 Partial differential equations (35-XX) 810 Fluid mechanics (76-XX) 214 Differential geometry (53-XX) 171 Calculus of variations and optimal control; optimization (49-XX) 129 Numerical analysis (65-XX) 108 Biology and other natural sciences (92-XX) 84 Operator theory (47-XX) 71 Global analysis, analysis on manifolds (58-XX) 70 Probability theory and stochastic processes (60-XX) 67 Functional analysis (46-XX) 64 Mechanics of deformable solids (74-XX) 63 Statistical mechanics, structure of matter (82-XX) 55 Ordinary differential equations (34-XX) 51 Harmonic analysis on Euclidean spaces (42-XX) 39 Dynamical systems and ergodic theory (37-XX) 34 Classical thermodynamics, heat transfer (80-XX) 28 Optics, electromagnetic theory (78-XX) 26 Computer science (68-XX) 24 Systems theory; control (93-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Information and communication theory, circuits (94-XX) 17 Integral equations (45-XX) 15 Functions of a complex variable (30-XX) 15 Geophysics (86-XX) 14 Real functions (26-XX) 12 Measure and integration (28-XX) 11 Convex and discrete geometry (52-XX) 8 Potential theory (31-XX) 8 Mechanics of particles and systems (70-XX) 6 Operations research, mathematical programming (90-XX) 5 Approximations and expansions (41-XX) 5 Manifolds and cell complexes (57-XX) 5 Quantum theory (81-XX) 4 Difference and functional equations (39-XX) 4 Astronomy and astrophysics (85-XX) 3 Algebraic geometry (14-XX) 3 Statistics (62-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX)