Patrick Gérard

Mathematical Physics · 2002–2019

A researcher in the Science corpus: 9 papers; trusts 11 researchers and is trusted by 26 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 19 citations into it; #1,231 of 8,562 by trust here, #874 by citations
• Statistical and Nonlinear Physics — 13 citations into it; #3,175 of 10,127 by trust here, #5,200 by citations
• Applied Mathematics — 11 citations into it; #1,187 of 7,620 by trust here, #1,057 by citations

Whom Patrick Gérard trusts overall

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

1. V. Peller
2. Nicolas Burq
3. Luc Molinet
4. Nikolay Tzvetkov
5. D. Tataru
6. Gigliola Staffilani
7. Terence Tao
8. Michael Christ
9. James E. Colliander
10. Sandrine Grellier

Who trusts Patrick Gérard overall

1. Nicolas Burq
2. Nikolay Tzvetkov
3. Vedran Sohinger
4. D. Tataru
5. Steve Zelditch
6. Laurent Thomann
7. Fabian Hornung
8. Andrew Hassell
9. Rui Hu
10. Herbert Koch

Papers from Patrick Gérard's perspective

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

1. Semilinear Schrodinger Equations
2. Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation
3. STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS
4. Multilinear weighted convolution of L2 functions, and applications to nonlinear dispersive equations
5. Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds
6. Riemannian manifolds with maximal eigenfunction growth
7. Multilinear Eigenfunction Estimates And Global Existence For The Three Dimensional Nonlinear Schr
8. Global well-posedness in L2 for the periodic Benjamin-Ono equation
9. Hankel Operators and Their Applications (IEEE Transactions on Automatic Control)
10. Arithmetic Quantum Chaos

Their papers

• Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds (2005) — 185 citations
• On the Integrability of the Benjamin‐Ono Equation on the Torus (2019) — 69 citations
• The cubic Szegő equation and Hankel operators (2015) — 89 citations
• Invariant tori for the cubic Szegö equation (2010) — 63 citations
• Pseudo-differential Operators and the Nash-Moser Theorem (2007) — 220 citations
• The Cauchy problem for the Gross-Pitaevskii equation (2006) — 132 citations
• Multilinear Eigenfunction Estimates And Global Existence For The Three Dimensional Nonlinear Schr (2004) — 154 citations
• Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds (2004) — 546 citations
• An instability property of the nonlinear Schrödinger equation on $S^{d}$ (2002) — 158 citations