Y. Giga

发表

Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

Yun-Gang Chen, Y. Giga, S. Goto, 1989 .

A comparison theorem for crystalline evolution in the plane

Y. Giga, M. Gurtin, 1994 .

Generalized Motion¶by Nonlocal Curvature in the Plane

Y. Giga, Mi-Ho Giga, M. Giga, 2000 .

Numerical Analysis for Motion of a Surface by Its Mean Curvature

Yun-Gang Chen, Y. Giga, T. Hitaka, 1993 .

Geometric Evolution of Phase-Boundaries

Y. Giga, S. Goto, Shun'ichi Goto, 1992 .

Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains

H. Ishii, Y. Giga, S. Goto, 1991 .

Asymptotically self‐similar blow‐up of semilinear heat equations

Y. Giga, R. Kohn, 1985 .

A kinetic construction of global solutions of first order quasilinear equations

Y. Giga, T. Miyakawa, 1983 .

Motion of hypersurfaces and geometric equations

Y. Giga, S. Goto, Shun'ichi Goto, 1990 .

Mean curvature flow through singularities for surfaces of rotation

Y. Giga, S. Altschuler, S. Angenent, 1991 .

Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

Yun-Gang Chen, Y. Giga, S. Goto, 1989 .

A mathematical problem related to the physical theory of liquid crystal configurations

Yoshikazu Giga, Y. Giga, P. Aviles, 1987 .

A numerical study of anisotropic crystal growth with bunching under very singular vertical diffusion

Y. Giga, Y. Tsai, 2003 .

Strong time-periodic solutions to the bidomain equations with arbitrary large forces

Y. Giga, K. Kress, Naoto Kajiwara, 2018, Nonlinear Analysis: Real World Applications.

An area minimizing scheme for anisotropic mean curvature flow

Y. Giga, K. Ishii, Tokuhiro Eto, 2012 .

Surface Evolution Equations --- a level set method ---

Y. Giga, 2002 .

A Level Set Approach for Computing Discontinuous Solutions of a Class of Hamilton-Jacobi Equations

S. Osher, Y. Giga, Y. Tsai, 2001 .

Generalized interface evolution with the Neumann boundary condition

Y. Giga, Moto-Hiko Sato, 1991 .

Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system

Yoshikazu Giga, Y. Giga, 1986 .

Energetic variational approaches for incompressible fluid systems on an evolving surface

Yoshikazu Giga, Y. Giga, Chun Liu, 2016 .

Surface Evolution Equations: A Level Set Approach

Yoshikazu Giga, Y. Giga, 2006 .

Nonlinear Partial Differential Equations

Yoshikazu Giga, Mi-Ho Giga, Jürgen Saal, 2004 .

A LEVEL SET APPROACH TO SEMICONTINUOUS VISCOSITY SOLUTIONS FOR CAUCHY PROBLEMS

Yoshikazu Giga, Y. Giga, Moto-Hiko Sato, 1999 .

A duality based approach to the minimizing total variation flow in the space $$H^{-s}$$H-s

Y. Giga, M. Muszkieta, P. Rybka, 2017, Japan Journal of Industrial and Applied Mathematics.

FOURTH-ORDER TOTAL VARIATION FLOW WITH DIRICHLET CONDITION : CHARACTERIZATION OF EVOLUTION AND EXTINCTION TIME ESTIMATES

Yoshikazu Giga, Hideki Matsuoka, Y. Giga, 2015 .

On behavior of signs for the heat equation and a diffusion method for data separation

Y. Giga, Mi-Ho Giga, Noriaki Umeda, 2012 .

Approximation of General Facets by Regular Facets with Respect to Anisotropic Total Variation Energies and Its Application to Crystalline Mean Curvature Flow

Y. Giga, N. Požár, 2017, 1702.05220.

Solutions in Lr of the Navier-Stokes initial value problem

Yoshikazu Giga, Tetsuro Miyakawa, Y. Giga, 1985 .

Well-posedness of Hamilton–Jacobi equations with Caputo’s time fractional derivative

Y. Giga, Tokinaga Namba, 2016, 1612.05408.

Global Solvability of Constrained Singular Diffusion Equation Associated with Essential Variation

Y. Giga, N. Yamazaki, H. Kuroda, 2006 .

Facet Bending in the Driven Crystalline Curvature Flow in the Plane

Y. Giga, P. Rybka, 2005 .

New Directions in Simulation, Control and Analysis for Interfaces and Free Boundaries

C. M. Elliott, Y. Giga, C. Elliott, 2010 .

Proceedings of the 39th Sapporo Symposium on Partial Differential Equations

Y. Giga, Shin-ichiro Ei, K. Tsutaya, 2014 .

On the role of kinetic and interfacial anisotropy in the crystal growth theory

Y. Giga, Mi-Ho Giga, M. Giga, 2012 .

Evolving Graphs by Singular Weighted Curvature

Y. Giga, Mi-Ho Giga, M. Giga, 1998 .

On the motion by singular interfacial energy

Maurizio Paolini, Y. Giga, P. Rybka, 2000 .

Crystalline and level set flow - convergence of a crystalline algorithm for a general anisotropic cu

Yoshikazu Giga, Mi-Ho Giga, Y. Giga, 2000 .

The Work of Yoshihiro Shibata

Y. Giga, H. Amann, H. Okamoto, 2016 .

Proceeding of the 33rd Sapporo Symposium on Partial Differential Equations

Y. Giga, G. Nakamura, T. Ozawa, 2008 .

On the two-dimensional nonstationary vorticity equations

Y. Giga, 2001 .

Title Rotating Navier-Stokes Equations with Initial Data Nondecreasing at Infinity (Mathematical Analysis in Fluid and Gas Dynamics)

Y. Giga, A. Mahalov, A. Inui, 2018 .

Y. Giga, Tomoro Asai, 2013 .

ON LARGE TIME BEHAVIOR OF GROWTH BY BIRTH AND SPREAD

Y. Giga, 2018, Proceedings of the International Congress of Mathematicians (ICM 2018).

A varifold formulation of mean curvature flow with Dirichlet or dynamic boundary conditions

Y. Giga, K. Takasao, Fumihiko Onoue, 2018, Differential and Integral Equations.

ON FINITE TIME STOPPING PHENOMENA FOR ONE-HARMONIC MAP FLOW

Y. Giga, H. Kuroda, 2014 .

The fourth-order total variation flow in $\mathbb{R}^n$

Y. Giga, H. Kuroda, Michal Lasica, 2022, 2205.07435.

Right accessibility of semicontinuous initial data for Hamilton-Jacobi equations

Y. Giga, M. Bardi, 2003 .

Emerging Developments in Interfaces and Free Boundaries

C. M. Elliott, Y. Giga, C. Elliott, 2018 .

Vorticity Direction and Regularity of Solutions to the Navier-Stokes Equations

Y. Giga, Z. Grujic, H. B. Veiga, 2016 .

The Role of Metrics in the Theory of Partial Differential Equations

Y. Giga, T. Ozawa, H. Kubo, 2018 .

RIGHT ACCESSIBILITY OF SEMICONTINUOUS INITIAL DATA FOR

Y. Giga, M. Bardi, Hamilton-Jacobi Equations, 2003 .

Well-chosen weak solutions of the instationary Navier-Stokes system and their uniqueness

R. Farwig, Y. Giga, 2015, Hokkaido Mathematical Journal.

On global weak solutions of the nonstationary two‐phase Stokes flow

Y. Giga, Shuji Takahashi, 1992 .

On a singular limit of the Kobayashi--Warren--Carter energy

Y. Giga, Koya Sakakibara, Jun Okamoto, 2022, 2205.14314.

A finer singular limit of a single-well Modica–Mortola functional and its applications to the Kobayashi–Warren–Carter energy

Y. Giga, Jun Okamoto, M. Uesaka, 2020, Advances in Calculus of Variations.

Graph gradient flows : from discrete to continuum

Y. Giga, Y. V. Gennip, Jun Okamoto, 2022, 2211.03384.

Global solvability of the Navier-Stokes equations in spaces based on sum-closed frequency sets

Y. Giga, A. Mahalov, J. Saal, 2007, Advances in Differential Equations.

An Approach to Rotating Boundary Layers Based on Vector Radon Measures

Y. Giga, J. Saal, 2012, Journal of Mathematical Fluid Mechanics.

On the Cauchy problem for the Navier-Stokes equations with nondecaying initial data

Y. Giga, K. Inui, Shin’ya Matsui, 1998 .

THE NAVIER-STOKES EQUATIONS WITH INITIAL VALUES IN BESOV SPACES OF TYPE B -1+3/q q, ∞

R. Farwig, Y. Giga, Pen-Yuan Hsu, 2017 .

Proceedings of the 25th Sapporo Symposium on Partial Differential Equations

Y. Giga, T. Ozawa, 2000 .

Equivalence of BMO-type Norms with Applications to the Heat and Stokes Semigroups

Y. Giga, Yohei Tsutsui, M. Bolkart, 2017, Potential Analysis.

On the Stokes operator in exterior domains

Y. Giga, H. Sohr, 1988 .

A Level Set Approach Reflecting Sheet Structure with Single Auxiliary Function for Evolving Spirals on Crystal Surfaces

Y. Giga, T. Ohtsuka, Y.-H. R. Tsai, 2014, Journal of Scientific Computing.

Singularities and rank one properties of Hessian measures

Y. Giga, P. Aviles, 1989 .

Quasi-static evolution of 3-D crystals grown from supersaturated vapor

Y. Giga, P. Rybka, 2001, Differential and Integral Equations.

On the Stokes resolvent estimates for cylindrical domains

Y. Giga, Katharina Schade, K. Abe, 2016, Journal of Evolution Equations.

The Helmholtz Decomposition of a BMO Type Vector Field in a Slightly Perturbed Half Space

Y. Giga, Zhongyang Gu, 2023, Journal of Mathematical Fluid Mechanics.

The nonstationary Navier-Stokes system with some first order boundary condition

Y. Giga, 1982 .

On the continuity of the solutions to the Navier–Stokes equations with initial data in critical Besov spaces

R. Farwig, Y. Giga, Pen-Yuan Hsu, 2019, Annali di Matematica Pura ed Applicata (1923 -).

On a dynamic boundary condition for singular degenerate parabolic equations in a half space

Y. Giga, Nao Hamamuki, 2018, Nonlinear Differential Equations and Applications NoDEA.

Numerical computations of split Bregman method for fourth order total variation flow

Yuki Ueda, Yoshikazu Giga, Y. Giga, 2019, J. Comput. Phys..

A single point blow-up for solutions of semilinear parabolic systems

Yoshikazu Giga, Avner Friedman, Y. Giga, 1987 .

The Inhomogeneous Dirichlet Problem for the Stokes System in Lipschitz Domains with Unit Normals Close to VMO

Y. Giga, R. Temam, R. Dautray, 2009 .

Prediction of Compound Bioactivities Using Heat-Diffusion Equation

Mi-Ho Giga, Yoshinobu Kawahara, Keiko Imamura, 2020, Patterns.

On the Ohm–Navier–Stokes system in magnetohydrodynamics

Y. Giga, Z. Yoshida, 1983 .

Initial values for the Navier-Stokes equations in spaces with weights in time

R. Farwig, Y. Giga, Pen-Yuan Hsu, 2014 .

On a Bound for Amplitudes of Navier–Stokes Flow with almost Periodic Initial Data

Y. Giga, A. Mahalov, T. Yoneda, 2009 .

A new numerical scheme for discrete constrained total variation flows and its convergence

Yoshikazu Giga, Masaaki Uesaka, Koya Sakakibara, 2020, Numerische Mathematik.

A new numerical scheme for constrained total variation flows and its convergence

Yoshikazu Giga, Masaaki Uesaka, Koya Sakakibara, 2019, 1904.06105.

Blow up rate for semilinear heat equation with subcritical nonlinearity

Y. Giga, S. Sasayama, Shin’ya Matsui, 2002 .

Characterizing Blow-up Using Similarity Variables

Yoshikazu Giga, Robert V. Kohn, Y. Giga, 1985 .

Very singular diffusion equations: second and fourth order problems

Yoshikazu Giga, Mi-Ho Giga, Y. Giga, 2010 .

Equivalence of BMO-type Norms with Applications to the Heat and Stokes Semigroups

Y. Giga, Yohei Tsutsui, M. Bolkart, 2016, Potential Analysis.

NONLINEAR WAVES Proceedings of the Fourth MSJ International Research Institute Vol II

R. Agemi, Y. Giga, T. Ozawa, 1996 .

Navier‐Stokes flow in R3 with measures as initial vorticity and Morrey spaces

Y. Giga, T. Miyakawa, 1988 .

Abstract $L^p$ estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains(Evolution Equations and Applications to Nonlinear Problems)

Y. Giga, H. Sohr, 1990 .

Two-dimensional Navier-Stokes flow with measures as initial vorticity

Yoshikazu Giga, Tetsuro Miyakawa, Hirofumi Osada, 1988 .

Analyticity of the semigroup generated by the Stokes operator inLr spaces

Yoshikazu Giga, Y. Giga, 1981 .

Continuous alignment of vorticity direction prevents the blow-up of the Navier–Stokes flow under the no-slip boundary condition

Y. Giga, Pen-Yuan Hsu, Zhongyang Gu, 2019, Nonlinear Analysis.

Lorentz space estimates for vector fields with divergence and curl in Hardy spaces

Y. Giga, Xingfei Xiang, 2013, 1312.5823.

Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data

Y. Giga, A. Mahalov, J. Saal, 2008 .

Navier-Stokes equations in a rotating frame in R3 with initial data nondecreasing at infinity

Y. Giga, A. Mahalov, K. Inui, 2006 .

Rotating Navier-Stokes Equations in $${\mathbb R}^{3}_{+}$$ with Initial Data Nondecreasing at Infinity: The Ekman Boundary Layer Problem

Y. Giga, A. Mahalov, J. Saal, 2004 .

Abstract LP estimates for the Cauchy problem with applications to the Navier‐Stokes equations in exterior domains

Yoshikazu Giga, Y. Giga, H. Sohr, 1991 .

The hydrostatic approximation for the primitive equations by the scaled Navier–Stokes equations under the no-slip boundary condition

Y. Giga, Takahito Kashiwabara, Ken Furukawa, 2020, Journal of Evolution Equations.

A Liouville Theorem for the Planer Navier-Stokes Equations with the No-Slip Boundary Condition and Its Application to a Geometric Regularity Criterion

Y. Giga, Yasunori Maekawa, Pen-Yuan Hsu, 2013, 1310.6471.

Estimate eor Linear Parabolic Equations

Y. Giga, H. Sohr, By Mariko Giga, 2022 .

Analyticity of solutions to the primitive equations

Y. Giga, Takahito Kashiwabara, Matthias Hieber, 2017, Mathematische Nachrichten.

On the continuity of the solutions to the Navier–Stokes equations with initial data in critical Besov spaces

R. Farwig, Y. Giga, Pen-Yuan Hsu, 2016, Annali di Matematica Pura ed Applicata (1923 -).

A bound for global solutions of semilinear heat equations

Y. Giga, 1986 .

Proceedings of the 37th Sapporo Symposium on Partial Differential Equations

Y. Giga, G. Nakamura, T. Ozawa, 2012 .

The Helmholtz decomposition of a space of vector fields with bounded mean oscillation in a bounded domain

Yoshikazu Giga, Zhongyang Gu, Y. Giga, 2021, Mathematische Annalen.

Normal Trace for a Vector Field of Bounded Mean Oscillation

Yoshikazu Giga, Zhongyang Gu, Y. Giga, 2020, Potential Analysis.

A kinetic approach to general first order quasilinear equations

Y. Giga, T. Miyakawa, S. Ôharu, 1985 .

Proceedings of the 36th Sapporo Symposium on Partial Differential Equations

Y. Giga, G. Nakamura, T. Ozawa, 2011 .

Motion by Crystalline-Like Mean Curvature: A Survey

Yoshikazu Giga, Norbert Povz'ar, Y. Giga, 2021, Bulletin of Mathematical Sciences.

Scale-Invariant Extinction Time Estimates for Some Singular Diffusion Equations

Yoshikazu Giga, Robert V. Kohn, Y. Giga, 2010 .

On a resolvent estimate for bidomain operators and its applications

Y. Giga, Naoto Kajiwara, 2016, 1610.02120.

Singular diffusivity facets, shocks and more

Y. Giga, 2003 .

Loss of convexity of simple closed curves moved by surface diffusion

Y. Giga, Kazuo Ito, 1999 .

On pinching of curves moved by surface diffusion

Yoshikazu Giga, Y. Giga, K. Ito, 1997 .

Crystalline flow starting from a general polygon

Y. Giga, Yusuke Ochiai, M. Giga, 2021, Discrete & Continuous Dynamical Systems.

Proceedings of the 6th Pacific RIM Conference on Mathematics 2013

Y. Giga, S. Jimbo, K. Yamaguchi, 2013 .

Stability of facets of self-similar motion of a crystal

Y. Giga, P. Rybka, 2004, Advances in Differential Equations.

Stability of facets of crystals growing from vapor

Yoshikazu Giga, Piotr Rybka, Y. Giga, 2004 .

Equations with Singular Diffusivity

Yoshikazu Giga, Ryo Kobayashi, Y. Giga, 1998 .

A microscopic time scale approximation to the behavior of the local slope on the faceted surface under a nonuniformity in supersaturation

Y. Giga, P. Rybka, E. Yokoyama, 2007, Physica D: Nonlinear Phenomena.

Existence of self-similar evolution of crystals grown from supersaturated vapor

Y. Giga, P. Rybka, 2003 .

Nondegeneracy of blowup for semilinear heat equations

Yoshikazu Giga, Robert V. Kohn, Y. Giga, 1989 .

Remarks on spectra of operator rot

Yoshikazu Giga, Y. Giga, Z. Yoshida, 1990 .

A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations

Yoshikazu Giga, Stanley Osher, Yen-Hsi Richard Tsai, 2003, Math. Comput..

Large time behavior of the vorticity of two-dimensional viscous flow and its application to vortex formation

Y. Giga, T. Kambe, 1988 .

Large time behavior of the vorticity of 2D viscous flow and vortex formation in 3D flow

Y. Giga, T. Kambe, 1988 .

Variational integrals on mappings of bounded variation and their lower semicontinuity

Yoshikazu Giga, Y. Giga, P. Aviles, 1991 .

Existence of asymptotic speed of solutions to birth and spread type nonlinear partial differential equations

Yoshikazu Giga, Takeshi Ohtsuka, Hiroyoshi Mitake, 2018, Indiana University Mathematics Journal.

Global Existence of Two-Dimensional Navier—Stokes Flow with Nondecaying Initial Velocity

Y. Giga, O. Sawada, Shin’ya Matsui, 2001 .

Remarks on the uniqueness of bounded solutions of the NavierStokes equations

Y. Giga, J. Kato, K. Inui, 2000 .

The Cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data

Y. Giga, B. Nicolaenko, A. Mahalov, 2009 .

The L∞-Stokes semigroup in exterior domains

Y. Giga, K. Abe, 2013, Journal of Evolution Equations.

Equations The L ∞-Stokes semigroup in exterior domains

Y. Giga, K. Abe, 2013 .

The L∞-Stokes semigroup in exterior domains

Y. Giga, K. Abe, 2012, Journal of Evolution Equations.

Analyticity of the Stokes semigroup in spaces of bounded functions

Y. Giga, K. Abe, 2011 .

Crystalline surface diffusion flow for graph-like curves

Y. Giga, M. Giga, 2022, Discrete and Continuous Dynamical Systems.

Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term

Y. Giga, N. Požár, 2020, SN Partial Differential Equations and Applications.

A level set crystalline mean curvature flow of surfaces

Y. Giga, Norbert Povz'ar, 2016, Advances in Differential Equations.

OSi If A Comparison Theorem For Crystalline Evolution In The Plane Yoshikazu Giga Hokkaido University

Y. Giga, M. Gurtin, 2015 .

Erratum to: A Comparison Principle for Singular Diffusion Equations with Spatially Inhomogeneous Driving Force for Graphs

Y. Giga, P. Rybka, M. Giga, 2014 .

A Comparison Principle for Singular Diffusion Equations with Spatially Inhomogeneous Driving Force for Graphs

Y. Giga, P. Rybka, M. Giga, 2013, Archive for Rational Mechanics and Analysis.

Anisotropic total variation flow of non-divergence type on a higher dimensional torus

Y. Giga, N. Požár, M. Giga, 2013, 1305.5904.

On general existence results for one-dimensional singular diffusion equations with spatially inhomogeneous driving force

Y. Giga, Atsushi Nakayasu, M. Giga, 2013 .

Periodic total variation flow of non-divergence type in Rn

Y. Giga, N. Požár, M. Giga, 2013, 1302.0618.

A Comparison Principle for Singular Diffusion Equations with Spatially Inhomogeneous Driving Force for Graphs

Y. Giga, P. Rybka, M. Giga, 2011 .

On a uniform approximation of motion by anisotropic curvature by the Allen-Cahn equations

Y. Giga, R. Schätzle, T. Ohtsuka, 2006 .

Expanding selfsimilar solutions of a crystalline flow with applications to contour figure analysis

Hidekata Hontani, Koichiro Deguchi, Yoshikazu Giga, 2005, Discret. Appl. Math..

A Scale-Space Analysis of a Contour Figure Using a Crystalline Flow

Hidekata Hontani, Koichiro Deguchi, Yoshikazu Giga, 2005, Scale-Space.

On The Dynamics of Crystalline Motion

Y. Giga, 2005 .

Hidekata Hontani, Yoshikazu Giga, Mi-Ho Giga, 2005, SIAM J. Math. Anal..

A Computation of a Crystalline Flow Starting from Non-admissible Polygon Using Expanding Selfsimilar Solutions

Hidekata Hontani, Koichiro Deguchi, Yoshikazu Giga, 2003, DGCI.

On Constrained Equations with Singular Diffusivity

Y. Giga, R. Kobayashi, 2003 .

Viscosity solutions with shocks

Y. Giga, 2001 .

Very singular diffusion equations

Yoshikazu Giga, Mi-Ho Giga, Ryo Kobayashi, 1999 .

On the dynamics of crystalline motions

Y. Giga, M. Gurtin, J. Matias, 1998 .

Stability for evolving graphs by nonlocal weighted curvature

Y. Giga, M. Giga, 1997 .

Remarks on large time behavior of level-set mean curvature flow equations with driving and source terms

Y. Giga, Hiroyoshi Mitake, H. Tran, 2019, Discrete & Continuous Dynamical Systems - B.

On obstacle problem for mean curvature flow with driving force

Y. Giga, Longjie Zhang, H. Tran, 2018, Geometric Flows.

Existence of selfsimilar shrinking curves for anisotropic curvature flow equations

Y. Giga, N. Mizoguchi, C. Dohmen, 1994 .

Existence of periodic solutions for equations of evolving curves

Y. Giga, N. Mizoguchi, 1993 .

Weak and Strong Solutions of the Navier-Stokes Initial Value Problem

Yoshikazu Giga, Y. Giga, 1983 .

On analyticity of the Lp ‐Stokes semigroup for some non‐Helmholtz domains

Y. Giga, Tatsuya Miura, Yohei Tsutsui, 2015 .

On the Stokes resolvent estimates for cylindrical domains

Y. Giga, K. Abe, Takuya Suzuki, 2015, Journal of Evolution Equations.

Stability of a Two-Dimensional Poiseuille-Type Flow for a Viscoelastic Fluid

Y. Giga, Chun Liu, M. Endo, 2015 .

Time and spartial analyticity of solutions of the navier-stokes equations

Y. Giga, 1983 .

Asymptotic Behavior of Type I Blowup Solutions to a Parabolic-Elliptic System of Drift–Diffusion Type

Y. Giga, N. Mizoguchi, T. Senba, 2011 .

Mean Curvature Flow Closes Open Ends of Noncompact Surfaces of Rotation

Y. Giga, Yukihiro Seki, Noriaki Umeda, 2009 .

On a limiting motion and self-intersections for the intermediate surface diffusion flow

Y. Giga, J. Escher, Kazuo Ito, 2002 .

Errata to “Energetic variational approaches for incompressible fluid systems on an evolving surface”

Y. Giga, Chun Liu, Hajime Koba, 2017 .

Bounded ^{∞}-calculus for the hydrostatic Stokes operator on ^{}-spaces and applications

Y. Giga, Takahito Kashiwabara, Matthias Hieber, 2017 .

Domains of fractional powers of the Stokes operator in Lr spaces

Yoshikazu Giga, Y. Giga, 1985 .

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Yoshikazu Giga, Antonin Novotny, Y. Giga, 2017 .

Proceedings of the 38th Sapporo Symposium on Partial Differential Equations

Y. Giga, T. Ozawa, K. Tsutaya, 2013 .

A level-set method for a mean curvature flow with a prescribed boundary

Y. Giga, Hiroyoshi Mitake, X. Bian, 2023, 2306.14218.

A remark on a Liouville problem with boundary for the Stokes and the Navier-Stokes equations

Y. Giga, 2011 .

On time analyticity of the Navier-Stokes equations in a rotating frame with spatially almost periodic data

Y. Giga, A. Mahalov, T. Yoneda, 2008 .

On the Stokes semigroup in some non-Helmholtz domains

Yoshikazu Giga, Takuya Suzuki, Katharina Schade, 2014 .

A Level Set Approach Reflecting Sheet Structure with Single Auxiliary Function for Evolving Spirals on Crystal Surfaces

Yoshikazu Giga, Yen-Hsi Richard Tsai, Takeshi Ohtsuka, 2012, J. Sci. Comput..

L1 MAXIMAL REGULARITY FOR THE LAPLACIAN AND APPLICATIONS

Y. Giga, J. Saal, 2010 .

On breakdown of solutions of a constrained gradient system of total variation

Y. Giga, H. Kuroda, 2009 .

LOCAL SOLVABILITY OF A CONSTRAINED GRADIENT SYSTEM OF TOTAL VARIATION

Yoshikazu Giga, Noriaki Yamazaki, Y. Giga, 2003 .

Neumann problem for singular degenerate parabolic equations

Yoshikazu Giga, Y. Giga, Moto-Hiko Sato, 1992, Differential and Integral Equations.

ON L∞-BMO ESTIMATES FOR DERIVATIVES OF THE STOKES SEMIGROUP

Y. Giga, M. Bolkart, 2015 .

Proceeding of the 34th Sapporo Symposium on Partial Differential Equations

Y. Giga, G. Nakamura, T. Ozawa, 2009 .

Stability of a Two-Dimensional Poiseuille-Type Flow for a Viscoelastic Fluid

Y. Giga, Chun Liu, M. Endo, 2016, Journal of Mathematical Fluid Mechanics.

Exhaustive existence and non-existence results for Hardy–Hénon equations in Rn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{doc

Y. Giga, E. Yanagida, Quoc Anh, 2022, Partial Differential Equations and Applications.

Exhaustive existence and non-existence results for Hardy–Hénon equations in $${{\,\mathrm{{\textbf{R}}}\,}}^n$$ R

Y. Giga, Q. Ngô, 2022, Partial Differential Equations and Applications.

On Blow up at Space Infinity for Semilinear Heat Equations

Y. Giga, Noriaki Umeda, 2006 .

On the equivalence of viscosity solutions and distributional solutions for the time-fractional diffusion equation

Yoshikazu Giga, Hiroyoshi Mitake, Shoichi Sato, 2021, Journal of Differential Equations.

Blow-up directions at space infinity for solutions of semilinear heat equations

Y. Giga, Noriaki Umeda, 2009 .

A subdifferential interpretation of crystalline motion under nonuniform driving force

Y. Giga, M. Giga, 1996 .

On elliptic equations related to self-similar solutions for nonlinear heat equations

Y. Giga, 1986 .

On strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations

Y. Giga, M. Ohnuma, 2005 .

On blow‐up rate for sign‐changing solutions in a convex domain

Y. Giga, S. Sasayama, Shin’ya Matsui, 2003 .

On time periodic solutions of the Dirichlet problem for degenerate parabolic equations of nondivergence type

Y. Giga, N. Mizoguchi, 1994 .

A Remark on a priori Bounds for Global Solutions of Semilinear Heat Equations

Y. Giga, 1985 .

On Vorticity Directions near Singularities for the Navier-Stokes Flows with Infinite Energy

Y. Giga, H. Miura, 2010 .

On representation of boundary integrals involving the mean curvature for mean-convex domains

Y. Giga, Giovanni Pisante, 2013, 1303.4281.

Proceedings of the 35th Sapporo Symposium on Partial Differential Equations

Y. Giga, G. Nakamura, T. Ozawa, 2010 .

Strong stability of 2D viscoelastic Poiseuille-type flows

Y. Giga, J. Sauer, K. Schade, 2014 .

On strong maximum principle and large time behaviour of generalized mean curvature flow with the Neumann boundary condition

Y. Giga, Moto-Hiko Sato, M. Ohnuma, 1997 .

Dynamic Boundary Conditions for Hamilton-Jacobi Equations

Yoshikazu Giga, Charles M. Elliott, C. M. Elliott, 2003, SIAM J. Math. Anal..

Y. Giga, Q. Ngô, 2022, Partial Differential Equations and Applications.

SINGULAR NEUMANN PROBLEMS AND LARGE-TIME BEHAVIOR OF SOLUTIONS OF NONCOERCIVE HAMILTON-JACOBI EQUATIONS

Y. Giga, Q. Liu, Hiroyoshi Mitake, 2010 .

Large-time asymptotics for one-dimensional Dirichlet problems for Hamilton–Jacobi equations with noncoercive Hamiltonians

Y. Giga, Q. Liu, Hiroyoshi Mitake, 2012 .

A Local Characterization of Blowup Points of Semilinear Heat Equations

Y. Giga, 1988 .

The Helmholtz decomposition of a $BMO$ type vector field in general unbounded domains

Y. Giga, Zhongyang Gu, 2023, Advances in Differential Equations.

Uniform exponential stability of the Ekman spiral

Y. Giga, J. Saal, 2013 .

Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier–Stokes equations

Y. Giga, M. Wrona, Takahito Kashiwabara, 2018, Nonlinearity.

The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions

Y. Giga, Takahito Kashiwabara, Matthias Hieber, 2018, Journal of Functional Analysis.

Uniform Local Solvability for the Navier-Stokes Equations with the Coriolis Force

Y. Giga, A. Mahalov, K. Inui, 2005 .

The fourth-order total variation flow in $ \mathbb{R}^n $

Y. Giga, H. Kuroda, Michal Lasica, 2022, Mathematics in Engineering.

On the Stokes semigroup in some non-Helmholtz domains

Y. Giga, K. Abe, Takuya Suzuki, 2015, Archiv der Mathematik.

An Approach to Rotating Boundary Layers Based on Vector Radon Measures

Y. Giga, J. Saal, 2013 .

Continuity of Derivatives of a Convex Solution to a Perturbed One-Laplace Equation by p-Laplacian

Y. Giga, Shuntaro Tsubouchi, 2022, Archive for Rational Mechanics and Analysis.

Correction to: Continuity of Derivatives of a Convex Solution to a Perturbed One-Laplace Equation by p-Laplacian

Y. Giga, Shuntaro Tsubouchi, 2021, Archive for Rational Mechanics and Analysis.

On instant blow-up for semilinear heat equations with growing initial data

Y. Giga, Noriaki Umeda, 2008 .

On anisotropy and curvature effects for growing Crystals

Yoshikazu Giga, Ryo Kobayashi, Y. Giga, 2000 .

Numerical Methods for Computing Discontinuous Solutions of a Class of Hamilton-Jacobi Equations Using a Level Set Method (Free Boundary Problems)

S. Osher, Y. Giga, Y. Tsai, 2001 .

Numerical Methods for Computing Discontinuous

S. Osher, Y. Giga, Y. Tsai, 2001 .

AN ENERGETIC VARIATIONAL APPROACH FOR NONLINEAR DIFFUSION EQUATIONS IN MOVING THIN DOMAINS

Y. Giga, Chun Liu, Tatsuya Miura, 2017 .

An Existence Result for a Discretized Constrained Gradient System of Total Variation Flow in Color Image Processing

Y. Giga, N. Yamazaki, H. Kuroda, 2005 .

Stokes Resolvent Estimates in Spaces of Bounded Functions

Y. Giga, Matthias Hieber, K. Abe, 2012, 1402.3791.

The distance function and defect energy

Yoshikazu Giga, Y. Giga, P. Aviles, 1995, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system

Y. Giga, 1986 .

On a diffusion equation with rupture

Y. Giga, Yuki Ueda, 2023, 2308.04754.

On time-periodic solutions for a weakly anisotropic curvature flow equation with driving force term (Viscosity Solutions of Differential Equations and Related Topics)

Y. Giga, Y. Kohsaka, N. Ishimura, 2003 .

Hamilton-Jacobi Equations with Discontinuous Source Terms

Y. Giga, N. Hamamuki, 2011 .

The primitive equations in the scaling-invariant space $$L^{\infty }(L^1)$$

Yoshikazu Giga, Takahito Kashiwabara, Matthias Hieber, 2017, Journal of Evolution Equations.

The primitive equations in the scaling-invariant space L∞(L1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^{\infty

Y. Giga, Takahito Kashiwabara, Matthias Hieber, 2017, Journal of Evolution Equations.

On viscous Burgers-like equations with linearly growing initial data

Y. Giga, K. Yamada, 2009 .

On representation of boundary integrals involving the mean curvature for mean-convex domains

Y. Giga, Giovanni Pisante, 2013, 1303.4281.

A bound for the pressure integral in a plasma equilibrium

Y. Giga, Z. Yoshida, 1992 .

Eikonal equations in metric spaces

Y. Giga, Atsushi Nakayasu, N. Hamamuki, 2011 .

Review: Wolf von Wahl, The equations of Navier-Stokes and abstract parabolic equations

Y. Giga, 1988 .

Bent rectangles as viscosity solutions over a circle

Y. Giga, P. Rybka, P. Górka, 2014 .

On lower semicontinuity of a defect energy obtained by a singular limit of the Ginzburg–Landau type energy for gradient fields

Yoshikazu Giga, Y. Giga, P. Aviles, 1997, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

On Blow up at Space Infinity for Semilinear Heat Equations

Y. Giga, Noriaki Umeda, 2006 .

A Liouville Theorem for the Planer Navier-Stokes Equations with the No-Slip Boundary Condition and Its Application to a Geometric Regularity Criterion

Y. Giga, Yasunori Maekawa, Pen-Yuan Hsu, 2013, 1310.6471.

Analysis toward snow crystal growth

Yun-Gang Chen, Y. Giga, S. Goto, 1991 .

On boundary detachment phenomena for the total variation flow with dynamic boundary conditions

Y. Giga, P. Rybka, Ryota Nakayashiki, 2019, Journal of Differential Equations.

Title Comparison Principle and Convexity Preserving Properties for Singular Degenerate Parabolic Equations on Unbounded Domains(Evolution Equations and Applications to Nonlinear Problems)

Y. Giga, 2020 .

The heat equation with the dynamic boundary condition as a singular limit of problems degenerating at the boundary

Y. Giga, P. Rybka, Michal Lasica, 2022, Asymptotic Analysis.

A Comparison Principle for Hamilton-Jacobi equations with discontinuous Hamiltonians

Y. Giga, P. Rybka, P. Górka, 2010 .

On Constrained Equations with Singular Diffusivity

Y. Giga, R. Kobayashi, 2003 .

regularizing-decay rate estmates for solutions to the Navier-Stokes initial value problem

Y. Giga, Y Giga, O Sawada, 2002 .

$L^P$ estimate for abstract linear parabolic equations

Y. Giga, M. Giga, H. Sohr, 1991 .