Michela Procesi

Statistical and Nonlinear Physics · 2004–2020

A researcher in the Science corpus: 10 papers; trusts 21 researchers and is trusted by 6 researchers here, as inferred from the citation graph.

Subfields

• Statistical and Nonlinear Physics — 74 citations into it; #1,878 of 10,127 by trust here, #2,437 by citations
• Mathematical Physics — 46 citations into it; #3,650 of 8,562 by trust here, #3,664 by citations
• Numerical Analysis — 24 citations into it; #1,123 of 3,586 by trust here, #1,289 by citations
• Atomic and Molecular Physics, and Optics — 18 citations into it; #2,379 of 7,135 by trust here, #4,781 by citations
• Computational Theory and Mathematics — 6 citations into it
• Computer Networks and Communications — 6 citations into it; #5,004 of 9,886 by trust here, #6,788 by citations

Whom Michela Procesi trusts overall

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

1. Massimiliano Berti
2. Jean Bourgain
3. Sergei B. Kuksin
4. Jiansheng Geng
5. C. Procesi
6. Dario Bambusi
7. P. Bolle
8. Luca Biasco
9. L. Eliasson
10. Jiangong You

Who trusts Michela Procesi overall

1. Massimiliano Berti
2. Pierre Baldi
3. P. Bolle
4. Riccardo Montalto
5. Livia Corsi

Papers from Michela Procesi's perspective

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

1. KAM for the nonlinear Schrödinger equation
2. Green's Function Estimates for Lattice Schrödinger Operators and Applications.
3. A KAM Theorem for Hamiltonian Partial Differential Equations in Higher Dimensional Spaces
4. An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation
5. An abstract Nash-Moser theorem with parameters and applications to PDEs
6. Cantor families of periodic solutions for completely resonant nonlinear wave equations
7. KAM for quasi-linear and fully nonlinear forced perturbations of Airy equation
8. A KAM Theorem for Hamiltonian Partial Differential Equations with Unbounded Perturbations
9. Almost global existence for Hamiltonian semilinear Klein‐Gordon equations with small Cauchy data on Zoll manifolds
10. Multiplicity of periodic solutions of nonlinear wave equations

Their papers

• An Abstract Birkhoff Normal Form Theorem and Exponential Type Stability of the 1d NLS (2020) — 82 citations
• Reducibility of first order linear operators on tori via Moser's theorem (2018) — 54 citations
• Growth of Sobolev norms for the analytic NLS on T2 (2016) — 59 citations
• An Abstract Nash–Moser Theorem and Quasi-Periodic Solutions for NLW and NLS on Compact Lie Groups and Homogeneous Manifolds (2013) — 110 citations
• KAM for Reversible Derivative Wave Equations (2012) — 113 citations
• A KAM algorithm for the resonant non-linear Schrödinger equation (2012) — 138 citations
• Nonlinear wave and Schrödinger equations on compact Lie groups and homogeneous spaces (2011) — 65 citations
• An abstract Nash-Moser theorem with parameters and applications to PDEs (2010) — 84 citations
• A Normal Form for the Schrödinger Equation with Analytic Non-linearities (2010) — 73 citations
• Periodic Solutions for Completely Resonant Nonlinear Wave Equations with Dirichlet Boundary Conditions (2004) — 63 citations