Hitoshi Ishii

Applied Mathematics · 1992–2016

A researcher in the Science corpus: 14 papers; trusts 13 researchers and is trusted by 30 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 35 citations into it; #874 of 7,620 by trust here, #1,149 by citations
• Computational Theory and Mathematics — 25 citations into it; #914 of 12,182 by trust here, #2,298 by citations
• Mathematical Physics — 16 citations into it; #5,497 of 8,562 by trust here, #7,431 by citations
• Statistical and Nonlinear Physics — 14 citations into it; #5,514 of 10,127 by trust here, #7,747 by citations
• Finance — 12 citations into it; #5,720 of 10,518 by trust here, #8,598 by citations
• Geometry and Topology — 10 citations into it
• Modeling and Simulation — 7 citations into it; #1,125 of 2,105 by trust here, #1,730 by citations
• Statistics and Probability — 6 citations into it

Whom Hitoshi Ishii trusts overall

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

1. A. Fathi
2. Jean-Michel Roquejoffre
3. M. Crandall
4. Hiroyoshi Mitake
5. Guy Barles
6. M. Sion
7. Antonio Siconolfi
8. Pierre-Louis Lions
9. Fuensanta Andreu
10. C. Imbert

Who trusts Hitoshi Ishii overall

1. Guy Barles
2. Luis Caffarelli
3. Panagiotis E. Souganidis
4. S. Armstrong
5. Pierre Cardaliaguet
6. Naoyuki Ichihara
7. Petri Juutinen
8. C. Imbert
9. Espen Robstad Jakobsen
10. Luis Silvestre

Papers from Hitoshi Ishii's perspective

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

1. Convergence to steady states or periodic solutions in a class of Hamilton–Jacobi equations
2. PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians
3. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
4. Second-order elliptic integro-differential equations: viscosity solutions' theory revisited
5. Real and complex analysis, 3rd ed.
6. On general minimax theorems
7. On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation (SIAM Journal on Mathematical Analysis)
8. Asymptotic solutions of Hamilton-Jacobi equations in Euclidean n space
9. User’s guide to viscosity solutions of second order partial differential equations
10. Representation formulas for solutions of Hamilton-Jacobi equations with convex Hamiltonians

Their papers

• A class of integral equations and approximation of p-Laplace equations (2010) — 117 citations
• Almost periodic homogenization of Hamilton-Jacobi equations (2000) — 82 citations
• On the rate of convergence in homogenization of Hamilton-Jacobi equations (2001) — 92 citations
• Representation formulas for solutions of Hamilton-Jacobi equations with convex Hamiltonians (2007) — 59 citations
• Long-time Behavior of Solutions of Hamilton–Jacobi Equations with Convex and Coercive Hamiltonians (2009) — 50 citations
• SDEs with Oblique Reflection on Nonsmooth Domains (2008) — 167 citations
• A family of degenerate elliptic operators: Maximum principle and its consequences (2016) — 56 citations
• The vanishing discount problem and viscosity Mather measures. Part 2: Boundary value problems (2016) — 54 citations
• The vanishing discount problem and viscosity Mather measures. Part 1: the problem on a torus (2016) — 58 citations
• Hamilton-Jacobi equations: approximations, numerical analysis and applications (2013) — 63 citations
• On the Large Time Behavior of Solutions of Hamilton–Jacobi Equations Associated with Nonlinear Boundary Conditions (2011) — 116 citations
• ASYMPTOTIC SOLUTIONS FOR LARGE-TIME OF HAMILTON-JACOBI EQUATIONS IN EUCLIDEAN $n$ SPACE(Viscosity Solution Theory of Differential Equations and its Developments) (2007) — 81 citations
• Asymptotic solutions of Hamilton-Jacobi equations in Euclidean n space (2006) — 49 citations
• User’s guide to viscosity solutions of second order partial differential equations (1992)