Yoshikazu Giga

Applied Mathematics · 2001–2017

A researcher in the Science corpus: 16 papers; trusts 31 researchers and is trusted by 10 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 67 citations into it; #2,911 of 7,620 by trust here, #1,356 by citations
• Computational Theory and Mathematics — 45 citations into it; #4,841 of 12,182 by trust here, #5,046 by citations
• Mathematical Physics — 23 citations into it; #4,099 of 8,562 by trust here, #2,682 by citations
• Modeling and Simulation — 11 citations into it
• Control and Systems Engineering — 10 citations into it; #2,140 of 8,257 by trust here, #2,004 by citations
• Numerical Analysis — 8 citations into it
• Computational Mechanics — 7 citations into it

Whom Yoshikazu Giga trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Ken Abe
2. V. Solonnikov
3. Kenichi Sakamoto
4. Yury F. Luchko
5. Francesco Mainardi
6. Reinhard Farwig
7. C. Imbert
8. Giovanni Bellettini
9. Guy Barles
10. Yoshihiro Shibata

Who trusts Yoshikazu Giga overall

1. Ken Abe
2. John W. Barrett
3. F. Merle
4. Matthias Hieber
5. Pavol Quittner
6. T. Iwabuchi
7. Harald Garcke
8. Mi-Ho Giga
9. F. R. Harvey
10. Petri Juutinen

Papers from Yoshikazu Giga's perspective

Ordered by how strongly the researchers Yoshikazu Giga trusts endorse each paper. Same corpus, a different order for every researcher.

1. Fractional Integrals and Derivatives: Theory and Applications
2. Maximum principle for the generalized time-fractional diffusion equation
3. Well-posedness for the Navier–Stokes Equations
4. The Total Variation Flow in RN
5. On Nonstationary Stokes Problem and Navier–Stokes Problem in a Half-Space with Initial Data Nondecreasing at Infinity
6. Second-order elliptic integro-differential equations: viscosity solutions' theory revisited
7. Analytic Semigroups and Optimal Regularity in Parabolic Problems
8. 3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity
9. Theory and Applications of Fractional Differential Equations
10. AnLq-approach to Stokes and Navier-Stokes equations in general domains

Their papers

• On blow‐up rate for sign‐changing solutions in a convex domain (2003) — 50 citations
• Scale-Invariant Extinction Time Estimates for Some Singular Diffusion Equations (2010) — 60 citations
• Very singular diffusion equations: second and fourth order problems (2010) — 74 citations
• Analyticity of the Stokes semigroup in spaces of bounded functions (2011) — 109 citations
• The L∞-Stokes semigroup in exterior domains (2012) — 61 citations
• Stokes Resolvent Estimates in Spaces of Bounded Functions (2012) — 53 citations
• LOCAL SOLVABILITY OF A CONSTRAINED GRADIENT SYSTEM OF TOTAL VARIATION (2003) — 52 citations
• Handbook of Mathematical Analysis in Mechanics of Viscous Fluids (2017) — 174 citations
• Well-posedness of Hamilton–Jacobi equations with Caputo’s time fractional derivative (2016) — 68 citations
• Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data (2008) — 91 citations
• On Blow up at Space Infinity for Semilinear Heat Equations (2006) — 50 citations
• Surface Evolution Equations: A Level Set Approach (2006) — 167 citations
• Uniform Local Solvability for the Navier-Stokes Equations with the Coriolis Force (2005) — 61 citations
• Nonlinear Partial Differential Equations (2004) — 80 citations
• Blow up rate for semilinear heat equation with subcritical nonlinearity (2002) — 136 citations
• Global Existence of Two-Dimensional Navier—Stokes Flow with Nondecaying Initial Velocity (2001) — 114 citations