James E. Colliander

Mathematical Physics · 2001–2010

A researcher in the Science corpus: 14 papers; trusts 19 researchers and is trusted by 52 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 60 citations into it; #219 of 8,562 by trust here, #65 by citations
• Statistical and Nonlinear Physics — 40 citations into it; #566 of 10,127 by trust here, #535 by citations
• Applied Mathematics — 29 citations into it; #633 of 7,620 by trust here, #419 by citations
• Control and Systems Engineering — 13 citations into it; #1,085 of 8,257 by trust here, #607 by citations
• Numerical Analysis — 5 citations into it

Whom James E. Colliander trusts overall

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

1. Michael Christ
2. Tadahiro Oh
3. Hideo Takaoka
4. Terence Tao
5. Carlos E. Kenig
6. Jean Bourgain
7. Markus Keel
8. Nicolas Burq
9. Benoît Grébert
10. E. Stein

Who trusts James E. Colliander overall

1. Justin Holmer
2. Andrei V. Faminskii
3. Luc Molinet
4. Rowan Killip
5. Monica Visan
6. Zihua Guo
7. Carlos E. Kenig
8. Terence Tao
9. Tadahiro Oh
10. B. Dodson

Papers from James E. Colliander's perspective

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

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

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
• Almost sure well-posedness of the cubic nonlinear Schr\ (2009) — 165 citations
• A priori bounds and weak solutions for the nonlinear Schr (2006) — 72 citations
• Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in R^3 (2004) — 337 citations
• Ill-posedness for nonlinear Schrodinger and wave equations (2003) — 252 citations
• Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ3 (2003) — 194 citations
• Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations (2002) — 464 citations
• Almost conservation laws and global rough solutions to a Nonlinear Schr (2002) — 255 citations
• THE GENERALIZED KORTEWEG–DE VRIES EQUATION ON THE HALF LINE (2001) — 173 citations
• Multilinear estimates for periodic KdV equations, and applications (2001) — 208 citations
• GLOBAL WELL-POSEDNESS FOR SCHR ¨ ODINGER EQUATIONS WITH DERIVATIVE ∗ (2001) — 85 citations
• Global well-posedness for KdV in Sobolev spaces of negative index (2001) — 102 citations
• Sharp Global well-posedness for KdV and modified KdV on $\R$ and $\T$ (2001) — 51 citations