Quasi-periodic solutions with Sobolev regularity of NLS on $\mathbb {T}^d$ with a multiplicative potential
By Massimiliano Berti, P. Bolle. 2013
114 citations recorded by the source corpus.
Subfields: Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/e5c5461381d4e2d6c591b27e8630b5c64f2d732d
How researchers see this paper
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In Mathematical Physics
- Riccardo Montalto
- Michela Procesi
- Massimiliano Berti
- Pierre Baldi
- Livia Corsi
- P. Bolle
- E. Haus
- C. Procesi
In Statistical and Nonlinear Physics
- Massimiliano Berti
- Riccardo Montalto
- Michela Procesi
- Pierre Baldi
- Livia Corsi
- P. Bolle
- E. Haus
- R. Feola
Citations in the corpus
- KAM for quasi-linear and fully nonlinear forced perturbations of Airy equation (2014, unknown): “We now define the s-norm (introduced in [7]) of an infinite dimensional matrix.”
- An Abstract Nash–Moser Theorem and Quasi-Periodic Solutions for NLW and NLS on Compact Lie Groups and Homogeneous Manifolds (2013, methodology): “18 we revisit in a more abstract way the strategy of [4, 5], obtaining a unified and more general result for smooth operators F (ε, λ, u) acting on a Hilbert scale of sequences spaces.”
- KAM for autonomous quasi-linear perturbations of mKdV (2014, background): “We recall the definition of the s-decay norm (introduced in [9]) of an infinite dimensional matrix.”