Gigliola Staffilani

Mathematical Physics · 2001–2013

A researcher in the Science corpus: 18 papers; trusts 31 researchers and is trusted by 42 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 113 citations into it; #410 of 8,562 by trust here, #113 by citations
• Statistical and Nonlinear Physics — 64 citations into it; #2,672 of 10,127 by trust here, #1,166 by citations
• Applied Mathematics — 57 citations into it; #1,068 of 7,620 by trust here, #732 by citations
• Control and Systems Engineering — 26 citations into it; #925 of 8,257 by trust here, #530 by citations
• Geometry and Topology — 9 citations into it
• Numerical Analysis — 7 citations into it
• Computational Theory and Mathematics — 5 citations into it

Whom Gigliola Staffilani trusts overall

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

1. D. Tataru
2. Terence Tao
3. James E. Colliander
4. Michael Christ
5. Tadahiro Oh
6. Nicolas Burq
7. Monica Visan
8. Hideo Takaoka
9. Jean Bourgain
10. A. Ionescu

Who trusts Gigliola Staffilani overall

1. D. Tataru
2. Terence Tao
3. Rowan Killip
4. Monica Visan
5. Luc Molinet
6. Nicolas Burq
7. James E. Colliander
8. Tadahiro Oh
9. Andrew Hassell
10. M. Goldberg

Papers from Gigliola Staffilani's perspective

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

1. Maximal Functions Associated to Filtrations
2. Semilinear Schrodinger Equations
3. Global Solutions of Nonlinear Schrodinger Equations (Journal of Partial Differential Equations)
4. Singular Integrals and Differentiability Properties of Functions.
5. Sharp global well-posedness for KdV and modified KdV on ℝ and
6. Multilinear estimates for periodic KdV equations, and applications
7. Global existence for energy critical waves in 3-d domains
8. Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions
9. Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in R^3
10. Global Regularity of Wave Maps¶II. Small Energy in Two Dimensions

Their papers

• Sharp global well-posedness for KdV and modified KdV on ℝ and (2003) — 422 citations
• Almost sure well-posedness for the periodic 3D quintic nonlinear Schr\"odinger equation below the energy space (2013) — 61 citations
• Absolute Continuity of Brownian Bridges Under Certain Gauge Transformations (2011) — 54 citations
• INVARIANT WEIGHTED WIENER MEASURES AND ALMOST SURE GLOBAL WELL-POSEDNESS FOR THE PERIODIC DERIVATIVE NLS. (2010) — 141 citations
• Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation (2010) — 302 citations
• On the global well-posedness of energy-critical Schr\"odinger equations in curved spaces (2010) — 91 citations
• Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics (2008) — 155 citations
• Semilinear Schrödinger flows on hyperbolic spaces: scattering in H1 (2008) — 63 citations
• On the global well-posedness of the one-dimensional Schrodinger map flow (2008) — 58 citations
• Regularity of Solutions to the Navier-Stokes Equations Evolving from Small Data in BMO−1 (2006) — 101 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
• STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS (2002) — 227 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