Markus Keel

Mathematical Physics · 2001–2010

A researcher in the Science corpus: 9 papers; trusts 6 researchers and is trusted by 25 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 32 citations into it; #745 of 8,562 by trust here, #167 by citations
• Statistical and Nonlinear Physics — 24 citations into it; #2,153 of 10,127 by trust here, #1,100 by citations
• Applied Mathematics — 14 citations into it; #3,030 of 7,620 by trust here, #1,487 by citations
• Numerical Analysis — 5 citations into it

Whom Markus Keel trusts overall

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

1. James E. Colliander
2. Hideo Takaoka
3. Terence Tao
4. Jean Bourgain
5. Benoît Grébert
6. E. Stein
7. Gigliola Staffilani

Who trusts Markus Keel overall

1. Jason Metcalfe
2. Rowan Killip
3. Monica Visan
4. Luc Molinet
5. Terence Tao
6. James E. Colliander
7. Christopher D. Sogge
8. Zihua Guo
9. B. Dodson
10. Tadahiro Oh

Papers from Markus Keel's perspective

Ordered by how strongly the researchers Markus Keel 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. Sharp global well-posedness for KdV and modified KdV on ℝ and
8. Multilinear estimates for periodic KdV equations, and applications
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
• 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
• Almost global existence for some semilinear wave equations (2001) — 143 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