P. Bolle

Statistical and Nonlinear Physics · 2002–2013

A researcher in the Science corpus: 7 papers; trusts 11 researchers and is trusted by 16 researchers here, as inferred from the citation graph.

Subfields

• Statistical and Nonlinear Physics — 18 citations into it; #1,369 of 10,127 by trust here, #2,437 by citations
• Numerical Analysis — 9 citations into it; #1,923 of 3,586 by trust here, #1,831 by citations
• Computational Theory and Mathematics — 8 citations into it
• Mathematical Physics — 8 citations into it; #2,654 of 8,562 by trust here, #2,904 by citations
• Atomic and Molecular Physics, and Optics — 6 citations into it

Whom P. Bolle trusts overall

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

1. Massimiliano Berti
2. Jean Bourgain
3. Sergei B. Kuksin
4. Ivar Ekeland
5. Michela Procesi
6. L. Eliasson
7. Jiansheng Geng
8. Xindong Xu
9. C. Procesi
10. Jiangong You

Who trusts P. Bolle overall

1. Massimiliano Berti
2. Michela Procesi
3. Ivar Ekeland
4. Pierre Baldi
5. Louis Jeanjean
6. Gerard Iooss
7. Bambusi D
8. Livia Corsi
9. Luca Biasco
10. Riccardo Montalto

Papers from P. Bolle's perspective

Ordered by how strongly the researchers P. Bolle 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. Multiplicity of periodic solutions of nonlinear wave equations
4. An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation
5. Cantor families of periodic solutions for completely resonant nonlinear wave equations
6. An abstract Nash-Moser theorem with parameters and applications to PDEs
7. Analysis of Hamiltonian PDEs
8. On Reducibility of Schrödinger Equations with Quasiperiodic in Time Potentials
9. A Normal Form for the Schrödinger Equation with Analytic Non-linearities
10. Periodic Solutions for Completely Resonant Nonlinear Wave Equations with Dirichlet Boundary Conditions

Their papers

• Quasi-periodic solutions with Sobolev regularity of NLS on $\mathbb {T}^d$ with a multiplicative potential (2013) — 114 citations
• An abstract Nash-Moser theorem with parameters and applications to PDEs (2010) — 84 citations
• Sobolev Periodic Solutions of Nonlinear Wave Equations in Higher Spatial Dimensions (2010) — 65 citations
• Quasi-periodic solutions with Sobolev regularity of NLS on T^d with a multiplicative potential (2010) — 90 citations
• Multiplicity of periodic solutions of nonlinear wave equations (2004) — 58 citations
• Cantor families of periodic solutions for completely resonant nonlinear wave equations (2004) — 82 citations
• Periodic Solutions of Nonlinear Wave Equations with General Nonlinearities (2002) — 86 citations