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Linear Algebra for the Sciences

1, 2023

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Norm-inflation with Infinite Loss of Regularity for Periodic NLS Equations in Negative Sobolev Spaces

Bulletin de la Société mathématique de France, 2017-01, Vol.145 (4), p.623-642

2017

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On the Well-Posedness of the Defocusing mKdV Equation Below $L^{2}

SIAM journal on mathematical analysis, 2017-01, Vol.49 (3), p.2191-2219

2017

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On the Integrability of the Benjamin‐Ono Equation on the Torus

Communications on pure and applied mathematics, 2021-08, Vol.74 (8), p.1685-1747

2021

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Normal form coordinates for the Benjamin-Ono equation having expansions in terms of pseudo-differential operators

Discrete and continuous dynamical systems. Series A, 2022-09, Vol.42 (9), p.4127

2022

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KdV and KAM

3. Folge., 2003

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On the Stability of Periodic Multi-Solitons of the KdV Equation

Communications in mathematical physics, 2021, Vol.385 (3), p.1871-1956

2021

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On smoothing properties and Tao's gauge transform of the Benjamin-Ono equation on the torus

Annales scientifiques de l'École normale supérieure, 2024-07

2024

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Canonical Coordinates with Tame Estimates for the Defocusing NLS Equation on the Circle

International mathematics research notices, 2018-03, p.rnw233

2018

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Normal Form Coordinates for the KdV Equation Having Expansions in Terms of Pseudodifferential Operators

Communications in mathematical physics, 2020-04, Vol.375 (1), p.833-913

2020

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On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus

Journal of functional analysis, 2020-12, Vol.279 (12), p.108762, Article 108762

2020

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On nomalized differentials on spectral curves associated with the sinh-Gordon equation

Journal of geometric mechanics, 2021-03, Vol.13 (1), p.73

2021

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Sharp well-posedness results of the Benjamin–Ono equation in $H^s (\mathbb{T}, \mathbb{R})$ and qualitative properties of its solutions

Acta mathematica, 2023, Vol.231 (1), p.31-88

2023

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Large KAM Tori for Quasi-linear Perturbations of KdV

Archive for rational mechanics and analysis, 2021-03, Vol.239 (3), p.1395-1500

2021

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On the analytic Birkhoff normal form of the Benjamin–Ono equation and applications

Nonlinear analysis, 2022-03, Vol.216, p.112687, Article 112687

2022

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On the wellposedness of the KdV equation on the space of pseudomeasures

Selecta mathematica (Basel, Switzerland), 2018-04, Vol.24 (2), p.1479-1526

2018

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On normalized differentials on hyperelliptic curves of infinite genus

Journal of differential geometry, 2017-02, Vol.105 (2)

2017

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A KAM theorem for the defocusing NLS equation

Journal of Differential Equations, 2012-03, Vol.252 (6), p.4068-4113

2012

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On the Benjamin-Ono equation on T and its periodic and quasiperiodic solutions

Journal of spectral theory, 2022-03, Vol.12 (1), p.169

2022

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Large KAM tori for perturbations of the defocusing NLS equation

Astérisque, 2018-11, Vol.403

2018

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On the wellposedness of the KdV/KdV2 equations and their frequency maps

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2018-01, Vol.35 (1), p.101-160

2018

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On Spectral Properties of the L Operator in the Lax Pair of the sine-Gordon Equation

Journal of mathematical physics, analysis, geometry, 2018-01, Vol.14 (4), p.452-509

2018

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On the Benjamin–Ono equation on $\mathbb{T}$ and its periodic and quasiperiodic solutions

Journal of spectral theory, 2022-03, Vol.12 (1), p.169-193

2022

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Results on Normal Forms for FPU Chains

Communications in mathematical physics, 2008-02, Vol.278 (1), p.145-177

2008

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Norm-inflation for periodic NLS equations in negative Sobolev spaces

Bulletin de la Société mathématique de France, 2017, Vol.145 (4), p.623-642

2017

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Linear Algebra for the Sciences

Norm-inflation with Infinite Loss of Regularity for Periodic NLS Equations in Negative Sobolev Spaces

On the Well-Posedness of the Defocusing mKdV Equation Below $L^{2}

On the Integrability of the Benjamin‐Ono Equation on the Torus

Normal form coordinates for the Benjamin-Ono equation having expansions in terms of pseudo-differential operators

KdV and KAM

On the Stability of Periodic Multi-Solitons of the KdV Equation

On smoothing properties and Tao's gauge transform of the Benjamin-Ono equation on the torus

Canonical Coordinates with Tame Estimates for the Defocusing NLS Equation on the Circle

Normal Form Coordinates for the KdV Equation Having Expansions in Terms of Pseudodifferential Operators

On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus

On nomalized differentials on spectral curves associated with the sinh-Gordon equation

Sharp well-posedness results of the Benjamin–Ono equation in $H^s (\mathbb{T}, \mathbb{R})$ and qualitative properties of its solutions

Large KAM Tori for Quasi-linear Perturbations of KdV

On the analytic Birkhoff normal form of the Benjamin–Ono equation and applications

On the wellposedness of the KdV equation on the space of pseudomeasures

On normalized differentials on hyperelliptic curves of infinite genus

A KAM theorem for the defocusing NLS equation

On the Benjamin-Ono equation on T and its periodic and quasiperiodic solutions

Large KAM tori for perturbations of the defocusing NLS equation

On the wellposedness of the KdV/KdV2 equations and their frequency maps

On Spectral Properties of the L Operator in the Lax Pair of the sine-Gordon Equation

On the Benjamin–Ono equation on $\mathbb{T}$ and its periodic and quasiperiodic solutions

Results on Normal Forms for FPU Chains

Norm-inflation for periodic NLS equations in negative Sobolev spaces

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