Hideo Takaoka

Mathematical Physics · 2000–2010

A researcher in the Science corpus: 14 papers; trusts 9 researchers and is trusted by 37 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 35 citations into it; #374 of 8,562 by trust here, #140 by citations
• Statistical and Nonlinear Physics — 28 citations into it; #3,114 of 10,127 by trust here, #1,328 by citations
• Applied Mathematics — 14 citations into it; #1,649 of 7,620 by trust here, #1,028 by citations
• Numerical Analysis — 5 citations into it

Whom Hideo Takaoka trusts overall

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

1. James E. Colliander
2. Terence Tao
3. Markus Keel
4. Jean Bourgain
5. Benoît Grébert
6. E. Stein
7. Carlos E. Kenig

Who trusts Hideo Takaoka overall

1. Martin Hadac
2. Jean-Claude Saut
3. Luc Molinet
4. James E. Colliander
5. Nikolay Tzvetkov
6. Geordie Richards
7. Dmitry E. Pelinovsky
8. Tadahiro Oh
9. Andrea R. Nahmod
10. Vedran Sohinger

Papers from Hideo Takaoka's perspective

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

1. Singular Integrals and Differentiability Properties of Functions.
2. Green's Function Estimates for Lattice Schrödinger Operators and Applications.
3. Global Solutions of Nonlinear Schrodinger Equations (Journal of Partial Differential Equations)
4. Birkhoff Normal Form and Hamiltonian PDEs
5. Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in R^3
6. Global well-posedness for KdV in Sobolev spaces of negative index
7. Multilinear estimates for periodic KdV equations, and applications
8. Sharp global well-posedness for KdV and modified KdV on ℝ and
9. Tools for Pde: Pseudodifferential Operators, Paradifferential Operators, and Layer Potentials
10. Free vibrations for a semilinear wave equation

Their papers

• Sharp global well-posedness for KdV and modified KdV on ℝ and (2003) — 422 citations
• Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation (2010) — 302 citations
• Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in R^3 (2004) — 337 citations
• Well-posedness of the Cauchy problem for the modified KdV equation with periodic boundary condition (2004) — 74 citations
• Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ3 (2003) — 194 citations
• Almost conservation laws and global rough solutions to a Nonlinear Schr (2002) — 255 citations
• Multilinear estimates for periodic KdV equations, and applications (2001) — 208 citations
• On the local regularity of the Kadomtsev-Petviashvili-II equation (2001) — 98 citations
• GLOBAL WELL-POSEDNESS FOR SCHR ¨ ODINGER EQUATIONS WITH DERIVATIVE ∗ (2001) — 85 citations
• Global well-posedness for Schrodinger equations with derivative in a nonlinear term and data in low-order Sobolev spaces (2001) — 78 citations
• Global well-posedness for KdV in Sobolev spaces of negative index (2001) — 102 citations
• On 2D Nonlinear Schrödinger Equations with Data on R×T☆ (2001) — 87 citations
• Sharp Global well-posedness for KdV and modified KdV on $\R$ and $\T$ (2001) — 51 citations
• Well-posedness for the Kadomtsev-Petviashvili II equation (2000) — 72 citations