2026 Yoshikazu Giga: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	59	588	495	8	7	354	15318

Research.com Recognitions

2026 - Research.com Mathematics in Japan Leader Award
2025 - Research.com Mathematics in Japan Leader Award
2023 - Research.com Mathematics in Japan Leader Award
2013 - Fellow of the American Mathematical Society

Overview

Yoshikazu Giga is affiliated with the University of Tokyo in Japan and has an extensive publication record in the fields of Mathematics and Computer Science, with a strong focus on applied and computational aspects. Their research spans several subfields, including Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Computational Mechanics, and Numerical Analysis.

The scientist's work encompasses various advanced mathematical topics, notably:

Advanced Mathematical Modeling in Engineering
Nonlinear Partial Differential Equations
Geometric Analysis and Curvature Flows
Navier-Stokes equation solutions
Differential Equations and Numerical Methods
Advanced Mathematical Physics Problems
Nonlinear Differential Equations Analysis

Yoshikazu Giga has published multiple papers on these subjects. Selected recent works include:

The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions, 2020, Journal of Functional Analysis
On the equivalence of viscosity solutions and distributional solutions for the time-fractional diffusion equation, 2022, Journal of Differential Equations
The primitive equations in the scaling-invariant space L∞(L1), 2024, TUbilio (Technical University of Darmstadt)

Other notable related works coauthored with peers include:

Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier-Stokes equations, 2020, Nonlinearity
Prediction of Compound Bioactivities Using Heat-Diffusion Equation, 2020, Patterns

Frequent collaborators include Takahito Kashiwabara, Zhongyang Gu, Matthias Hieber, Mi-Ho Giga, and Ken Furukawa. These collaborations have contributed to the breadth of Yoshikazu Giga's research output.

The scientist has published several works in prominent venues such as arXiv (Cornell University), the Journal of Evolution Equations, Partial Differential Equations and Applications, the Journal of Differential Equations, and the Indiana University Mathematics Journal.

In addition to journal articles, Yoshikazu Giga authored a book titled A Basic Guide to Uniqueness Problems for Evolutionary Differential Equations, published by Springer International Publishing in 2023.

Recognition of the scientist's contributions is reflected by their designation as a Fellow of the American Mathematical Society in 2013.

Best Publications

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

Yun Gang Chen;Yoshikazu Giga;Shun'ichi Goto

1450
Citations
Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system

Yoshikazu Giga

1048
Citations
Asymptotically self‐similar blow‐up of semilinear heat equations

Yoshikazu Giga;Robert V. Kohn

777
Citations
Abstract Lp estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains

Yoshikazu Giga;Hermann Sohr

677
Citations
Solutions in Lr of the Navier-Stokes initial value problem

Yoshikazu Giga;Tetsuro Miyakawa

587
Citations
Nonlinear partial differential Equations

Mi-Ho Giga;Yoshikazu Giga;Jürgen Saal

554
Citations
Characterizing Blow-up Using Similarity Variables

Yoshikazu Giga;Robert V. Kohn

545
Citations
Analycity of the Semigroup Generated by the Stokes Operator.

Yoshikazu Giga

467
Citations
Nondegeneracy of blowup for semilinear heat equations

Yoshikazu Giga;Robert V. Kohn

438
Citations
Navier-stokes flow in r3 with measures as initial vorticity and morrey spaces

Yoshikazu Giga;Tetsuro Miyakawa

426
Citations
Remarks on spectra of operator rot

Zensho Yoshida;Yoshikazu Giga

313
Citations
Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains

Y. Giga

304
Citations
Surface Evolution Equations: A Level Set Approach

Yoshikazu Giga

290
Citations
Domains of fractional powers of the Stokes operator in Lr spaces

Yoshikazu Giga

281
Citations
Two-dimensional Navier-Stokes flow with measures as initial vorticity

Yoshikazu Giga;Yoshikazu Giga;Yoshikazu Giga;Tetsuro Miyakawa;Tetsuro Miyakawa;Tetsuro Miyakawa;Hirofumi Osada;Hirofumi Osada;Hirofumi Osada

253
Citations
Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains

Yoshikazu Giga;Shun'ichi Goto;Hitoshi Ishii;Moto-hiko Sato

243
Citations
A bound for global solutions of semilinear heat equations

Yoshikazu Giga

214
Citations
On the Stokes operator in exterior domains

Yoshikazu Giga

206
Citations
Mean curvature flow through singularities for surfaces of rotation

Steven Altschuler;Sigurd B. Angenent;Yoshikazu Giga

194
Citations
Blow up rate for semilinear heat equations with subcritical nonlinearity

Satoshi Sasayama;Yoshikazu Giga;Shin'ya Matsui

168
Citations
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)

Yoshikazu Giga;Hermann Sohr

0
Citations

Frequent Co-Authors

Tohru Ozawa Waseda University

Robert V. Kohn Courant Institute of Mathematical Sciences

Chun Liu Illinois Institute of Technology

Hermann Sohr University of Paderborn

Charles M. Elliott University of Warwick

Stanley Osher University of California, Los Angeles

Hitoshi Ishii Waseda University

Yasuyuki Shimizu Hokkaido University

Hideo Kozono Waseda University

Sigurd B. Angenent University of Wisconsin–Madison

External Links

Personal website of Yoshikazu Giga Google Scholar page

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