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Almost global existence for some nonlinear Schrödinger equations on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>𝕋</mml:mi> <mml:mi>d</mml:mi> </mml:msup></mml:math> in low regularity
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2025
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Joackim Bernier
Benoît Grébert
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Infinite dimensional invariant tori for nonlinear Schrödinger equations
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2024
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Joackim Bernier
Benoît Grébert
Tristan Robert
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PDF
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Discrete Pseudo-differential Operators and Applications to Numerical Schemes
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2024
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Erwan Faou
Benoît Grébert
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PDF
Chat
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Longtime dynamics for the Landau Hamiltonian with a time dependent
magnetic field
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2024
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Dario Bambusi
Benoît Grébert
Alberto Maspero
Didier Robert
Carlos Villegas‐Blas
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PDF
Chat
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Exponential stability of solutions to the Schrödinger–Poisson equation
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2024
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Joackim Bernier
Nicolas Camps
Benoît Grébert
Zhi-Qiang Wang
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PDF
Chat
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Long time solutions for quasilinear Hamiltonian perturbations of Schrödinger and Klein–Gordon equations on tori
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2023
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Roberto Feola
Benoît Grébert
Felice Iandoli
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Dynamics of quintic nonlinear Schrödinger equations in $H^{2/5+}(\mathbb{T})$
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2023
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Joackim Bernier
Benoît Grébert
Tristan Robert
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+
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Dynamics of quintic nonlinear Schr{ö}dinger equations in $H^{2/5+}(\mathbb{T})$
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2023
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Joackim Bernier
Benoît Grébert
Tristan Robert
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+
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Exponential stability of solutions to the Schr{ö}dinger-Poisson equation
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2023
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Joackim Bernier
Nicolas Camps
Benoît Grébert
Zhiqiang Wang
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Dynamics of nonlinear Klein–Gordon equations in low regularity on $\mathbb{S}^2$
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2022
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Joackim Bernier
Benoît Grébert
Gabriel Rivière
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PDF
Chat
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Birkhoff normal forms for Hamiltonian PDEs in their energy space
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2022
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Joackim Bernier
Benoît Grébert
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PDF
Chat
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Almost global existence for some nonlinear Schrödinger equations on $\mathbb{T}^d$ in low regularity
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2022
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Joackim Bernier
Benoît Grébert
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+
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Almost global existence for some nonlinear Schr{ö}dinger equations on $\mathbb{T}^d$ in low regularity
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2022
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Joackim Bernier
Benoît Grébert
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PDF
Chat
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Long Time Dynamics for Generalized Korteweg–de Vries and Benjamin–Ono Equations
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2021
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Joackim Bernier
Benoît Grébert
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+
PDF
Chat
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Long time dynamics for generalized Korteweg-de Vries and Benjamin-Ono equations
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2021
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Joackim Bernier
Benoît Grébert
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PDF
Chat
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Long-Time Existence for Semi-linear Beam Equations on Irrational Tori
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2021
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Joackim Bernier
Roberto Feola
Benoît Grébert
Felice Iandoli
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Dynamics of nonlinear Klein-Gordon equations in low regularity on S^2
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2021
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Joackim Bernier
Benoît Grébert
Gabriel Rivière
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PDF
Chat
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Rational Normal Forms and Stability of Small Solutions to Nonlinear Schrödinger Equations
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2020
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Joackim Bernier
Erwan Faou
Benoît Grébert
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PDF
Chat
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Growth of Sobolev norms for abstract linear Schrödinger equations
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2020
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Dario Bambusi
Benoît Grébert
Alberto Maspero
Didier Robert
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PDF
Chat
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LONG TIME SOLUTIONS FOR QUASI-LINEAR HAMILTONIAN PERTURBATIONS OF SCHRÖDINGER AND KLEIN-GORDON EQUATIONS ON TORI
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2020
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Roberto Feola
Benoît Grébert
Felice Iandoli
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PDF
Chat
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Reducibility of Schrödinger equation on a Zoll manifold with unbounded potential
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2020
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Roberto Feola
Benoît Grébert
Trung Nguyen
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PDF
Chat
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On reducibility of quantum harmonic oscillator on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>ℝ</mml:mi> <mml:mi>d</mml:mi> </mml:msup></mml:math> with quasiperiodic in time potential
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2020
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Benoît Grébert
Éric Paturel
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PDF
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LONG TIME BEHAVIOR OF THE SOLUTIONS OF NLW ON THE -DIMENSIONAL TORUS
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2020
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Joackim Bernier
Erwan Faou
Benoît Grébert
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Long time solutions for quasi-linear Hamiltonian perturbations of Schrödinger and Klein-Gordon equations on tori
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2020
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Roberto Feola
Benoît Grébert
Felice Iandoli
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+
PDF
Chat
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Reducibility of Schrödinger Equation on the Sphere
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2019
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Roberto Feola
Benoît Grébert
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Long time behavior of the solutions of NLW on the d-dimensional torus
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2019
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Joackim Bernier
Erwan Faou
Benoît Grébert
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+
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Reducibility of Schr\"odinger equation on the sphere.
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2019
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Roberto Feola
Benoît Grébert
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+
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Reducibility of Schrödinger equation on the sphere
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2019
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Roberto Feola
Benoît Grébert
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+
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Rational normal forms and stability of small solutions to nonlinear Schr\"odinger equations
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2018
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Joackim Bernier
Erwan Faou
Benoît Grébert
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+
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Stable and unstable time quasi periodic solutions for a system of coupled NLS equations
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2018
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Benoît Grébert
Victor Vilaça da Rocha
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+
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Rational normal forms and stability of small solutions to nonlinear Schrödinger equations
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2018
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Joackim Bernier
Erwan Faou
Benoît Grébert
|
+
PDF
Chat
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Stable and unstable time quasi periodic solutions for a system of coupled NLS equations
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2018
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Benoît Grébert
Victor Vilaça da Rocha
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PDF
Chat
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Reducibility of the quantum harmonic oscillator in d-dimensions with polynomial time-dependent perturbation
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2017
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Dario Bambusi
Benoît Grébert
Alberto Maspero
Didier Robert
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Growth of Sobolev norms for abstract linear Schr\"odinger Equations
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2017
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Dario Bambusi
Benoît Grébert
Alberto Maspero
Didier Robert
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+
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Growth of Sobolev norms for abstract linear Schrödinger Equations
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2017
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Dario Bambusi
Benoît Grébert
Alberto Maspero
Didier Robert
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PDF
Chat
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KAM for the nonlinear beam equation
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2016
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L. H. Eliasson
Benoît Grébert
Sergei Kuksin
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PDF
Chat
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A KAM theorem for space-multidimensional Hamiltonian PDEs
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2016
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L. H. Eliasson
Benoît Grébert
Sergei Kuksin
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PDF
Chat
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A KAM THEOREM FOR SPACE-MULTIDIMENSIONAL HAMILTONIAN PDE
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2016
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L. H. Eliasson
Benoît Grébert
Sergei Kuksin
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KAM for the nonlinear beam equation
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2016
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L. H. Eliasson
Benoît Grébert
Sergei Kuksin
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+
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KAM for the Klein Gordon equation on $\mathbb S^d$
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2016
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Benoît Grébert
Éric Paturel
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+
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On reducibility of Quantum Harmonic Oscillator on $\mathbb{R}^d$ with quasiperiodic in time potential
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2016
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Éric Paturel
Benoît Grébert
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PDF
Chat
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Modified scattering for the cubic Schrödinger equation on product spaces: the nonresonant case
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2016
|
Benoît Grébert
Éric Paturel
Laurent Thomann
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+
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KAM for the nonlinear beam equation
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2016
|
L. H. Eliasson
Benoît Grébert
Sergei B. Kuksin
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PDF
Chat
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KAM for the Klein Gordon equation on $\mathbb S^d$.
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2016
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Benoît Grébert
Éric Paturel
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Modified scattering for the cubic Schr{\"o}dinger equation on product spaces: the nonresonant case
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2015
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Benoît Grébert
Éric Paturel
Laurent Thomann
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+
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KAM for the non-linear Beam equation 2: A normal form theorem
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2015
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L. H. Eliasson
Benoît Grébert
Sergeï B. Kuksin
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PDF
Chat
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Stability of Large Periodic Solutions of Klein–Gordon Near a Homoclinic Orbit
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2015
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Benoît Grébert
Tiphaine Jézéquel
Laurent Thomann
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PDF
Chat
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Stability of large periodic solutions of Klein-Gordon near a homoclinic orbit
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2015
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Benoît Grébert
Tiphaine Jézéquel
Laurent Thomann
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+
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KAM for the non-linear Beam equation 2: A normal form theorem
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2015
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L. H. Eliasson
Benoît Grébert
Sergei Kuksin
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+
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Modified scattering for the cubic Schr{ö}dinger equation on product spaces: the nonresonant case
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2015
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Benoît Grébert
Éric Paturel
Laurent Thomann
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+
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KAM For the Klein Gordon equation on the sphere and the quantum harmonic oscillator on the plane
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2014
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Benoît Grébert
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The Defocusing NLS Equation and Its Normal Form
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2014
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Benoît Grébert
Thomas Kappeler
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+
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KAM for the nonlinear beam equation 1: small-amplitude solutions
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2014
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Håkan Eliasson
Benoît Grébert
Sergeï B. Kuksin
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PDF
Chat
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Dynamics of Klein-Gordon on a compact surface near an homoclinic orbit
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2014
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Benoît Grébert
Tiphaine Jézéquel
Laurent Thomann
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+
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KAM for KG on $\mathbb S^2$ and for the quantum harmonic oscillator on $\mathbb R^2$
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2014
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Benoît Grébert
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PDF
Chat
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Dynamics of Klein-Gordon on a compact surface near a homoclinic orbit
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2014
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Benoît Grébert
Tiphaine Jézéquel
Laurent Thomann
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+
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A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus
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2013
|
Erwan Faou
Benoît Grébert
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+
PDF
Chat
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Beating effects in cubic Schrödinger systems and growth of Sobolev norms
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2013
|
Benoît Grébert
Éric Paturel
Laurent Thomann
|
+
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Stability of large periodic solutions of Klein-Gordon near a homoclinic orbit
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2013
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Benoît Grébert
Tiphaine Jézéquel
Laurent Thomann
|
+
PDF
Chat
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Existence and stability of ground states for fully discrete approximations of the nonlinear Schrödinger equation
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2012
|
Dario Bambusi
Erwan Faou
Benoît Grébert
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+
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Existence and stability of solitons for fully discrete approximations of the nonlinear Schrödinger equation
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2012
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Dario Bambusi
Erwan Faou
Benoît Grébert
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+
PDF
Chat
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Resonant dynamics for the quintic nonlinear Schrödinger equation
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2012
|
Benoît Grébert
Laurent Thomann
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+
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Beating effects in cubic Schrödinger systems and growth of Sobolev norms
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2012
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Benoît Grébert
Éric Paturel
Laurent Thomann
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+
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Resonant dynamics for the quintic non linear Schr
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2011
|
Benoît Grébert
Laurent Thomann
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+
PDF
Chat
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KAM for the Quantum Harmonic Oscillator
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2011
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Benoît Grébert
Laurent Thomann
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+
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Hamiltonian Interpolation of Splitting Approximations for Nonlinear PDEs
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2011
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Erwan Faou
Benoît Grébert
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+
PDF
Chat
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On the energy exchange between resonant modes in nonlinear Schrödinger equations
|
2010
|
Benoît Grébert
Carlos Villegas‐Blas
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+
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On the energy exchange between resonant modes in nonlinear Schr
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2010
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Benoît Grébert
Carlos Villegas‐Blas
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+
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On the energy exchange between resonant modes in nonlinear Schr\"odinger equations
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2010
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Benoît Grébert
Carlos Villegas‐Blas
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+
PDF
Chat
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Quasi-invariant modified Sobolev norms for semi linear reversible PDEs
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2010
|
Erwan Faou
Benoît Grébert
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+
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On the energy exchange between resonant modes in nonlinear Schrödinger equations
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2010
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Benoît Grébert
Carlos Villegas‐Blas
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+
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Hamiltonian interpolation of splitting approximations for nonlinear PDEs
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2009
|
Erwan Faou
Benoît Grébert
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+
PDF
Chat
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Birkhoff normal form for splitting methods applied to semilinear Hamiltonian PDEs. Part I. Finite-dimensional discretization
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2009
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Erwan Faou
Benoît Grébert
Éric Paturel
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+
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Birkhoff normal form for splitting methods applied to semilinear Hamiltonian PDEs. Part II. Abstract splitting
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2009
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Erwan Faou
Benoît Grébert
Éric Paturel
|
+
PDF
Chat
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Normal Forms for Semilinear Quantum Harmonic Oscillators
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2009
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Benoît Grébert
Rafik Imekraz
Éric Paturel
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+
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Normal form theory for the NLS equation
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2009
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Benoît Grébert
Thomas Kappeler
Jürgen Pöschel
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+
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Resonances in long time integration of semi linear Hamiltonian PDEs
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2009
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Erwan Faou
Benoît Grébert
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+
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On the infrared problem for the dressed non-relativistic electron in a magnetic field
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2009
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Laurent Amour
Jérémy Faupin
Benoît Grébert
Jean‐Claude Guillot
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+
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Birkhoff normal form and splitting methods for semi linear Hamiltonian PDEs. Part I: Finite dimensional discretization
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2008
|
Erwan Faou
Benoît Grébert
Éric Paturel
|
+
PDF
Chat
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Le problème infrarouge pour l'électron habillé non relativiste dans un champ magnétique
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2008
|
Laurent Amour
Jérémy Faupin
Benoît Grébert
Jean‐Claude Guillot
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On the long time behavior for solutions of semi-linear harmonic oscillator with small Cauchy data on R^d.
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2008
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Benoît Grébert
Rafik Imekraz
Éric Paturel
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+
PDF
Chat
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Almost global existence for Hamiltonian semilinear Klein‐Gordon equations with small Cauchy data on Zoll manifolds
|
2007
|
Dario Bambusi
Jean-Marc Delort
Benoît Grébert
J. Szeftel
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+
PDF
Chat
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Birkhoff Normal Form and Hamiltonian PDEs
|
2007
|
Benoît Grébert
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+
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Birkhoff normal form for partial differential equations with tame modulus
|
2006
|
Dario Bambusi
Benoît Grébert
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+
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The dressed mobile atoms and ions
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2006
|
Laurent Amour
Benoît Grébert
Jean‐Claude Guillot
|
+
|
Birkhoff Normal Form and Hamiltonian PDEs
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2006
|
Benoît Grébert
|
+
PDF
Chat
|
The dressed nonrelativistic electron in a magnetic field
|
2006
|
Laurent Amour
Benoît Grébert
Jean‐Claude Guillot
|
+
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A mathematical model for the Fermi weak interactions
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2006
|
Laurent Amour
Benoît Grébert
Jean‐Claude Guillot
|
+
PDF
Chat
|
The dressed mobile atoms and ions
|
2006
|
Laurent Amour
Benoît Grébert
Jean‐Claude Guillot
|
+
PDF
Chat
|
The dressed mobile atoms and ions
|
2006
|
Laurent Amour
Benoît Grébert
Jean‐Claude Guillot
|
+
|
Birkhoff Normal Form and Hamiltonian PDEs
|
2006
|
Benoît Grébert
|
+
PDF
Chat
|
L'électron habillé non relativiste dans un champ magnétique
|
2005
|
Laurent Amour
Benoît Grébert
Jean‐Claude Guillot
|
+
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Almost global existence for Hamiltonian semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds
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2005
|
Dario Bambusi
Jean-Marc Delort
Benoît Grébert
Jérémie Szeftel
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+
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KdV & KAM ergebnisse der mathematik und ihrer grenzgebiete 3
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2004
|
Benoît Grébert
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+
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None
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2004
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Benoît Grébert
Thomas Kappeler
Jürgen Pöschel
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+
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Birfhoff Normal Form for PDEs with Tame Modulus
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2004
|
Dario Bambusi
Benoît Grébert
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+
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Local Density Approximations for the Energy of a Periodic Coulomb Model
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2003
|
Olivier Bokanowski
Benoît Grébert
Norbert J. Mauser
|
+
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Density of finite gap potentials for the Zakharov–Shabat system
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2003
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Benoît Grébert
Thomas Kappeler
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+
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Density of finite gap potentials for the Zakharov–Shabat system
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2003
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Benoît Grébert
Thomas Kappeler
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+
PDF
Chat
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Symmetries of the nonlinear Schrödinger equation
|
2002
|
Benoît Grébert
Thomas Kappeler
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+
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Erratum: "Estimates on periodic and Dirichlet eigenvalues for the Zakharov-Shabat system" [Asymptot. Anal. 25 (2001), no. 3-4, 201–237]
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2002
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Benoît Grébert
Thomas Kappeler
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+
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Estimates on periodic and Dirichlet eigenvalues for the Zakharov–Shabat system
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2001
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Benoît Grébert
Thomas Kappeler
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+
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None
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2001
|
Rafael del Río
Benoît Grébert
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+
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Estimates on periodic and Dirichlet eigenvalues for the Zakharov–Shabat system
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2001
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Benoît Grébert
Thomas Kappeler
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+
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Approximations de l'énergie cinétique en fonction de la densité pour un modèle de Coulomb périodique
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1999
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Olivier Bokanowski
Benoît Grébert
Norbert J. Mauser
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+
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Théorème de type KAM pour l’équation de Schrödinger non linéaire
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1998
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Benoît Grébert
Thomas Kappeler
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+
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Gap estimates of the spectrum of the Zakharov-Shabat system
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1998
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Benoît Grébert
Thomas Kappeler
Boris Mityagin
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+
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On the Spectrum of Odd Order Self-Adjoint Ordinary Differential Operators on the Real Line with Quasi-periodic Coefficients
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1997
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Benoît Grébert
J. C. Guillot
Frédéric Klopp
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+
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Periodic solutions of coupled nonlinear Schrödinger equations in nonlinear optics: The resonant case
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1996
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Benoît Grébert
J. C. Guillot
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+
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Periodic solutions of coupled nonlinear Schrödinger equations in nonlinear optics: the nonresonant case
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1995
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Benoît Grébert
J. C. Guillot
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+
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High- and low-energy estimates for the Dirac equation
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1995
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Herminio Blancarte
Benoît Grébert
Ricardo Weder
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+
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Reconstruction of a Potential on the Line That is a Priori Known on the Half Line
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1995
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Benoît Grébert
Ricardo Weder
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+
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Foliation of phase space for the cubic non-linear Schrödinger equation
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1993
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D. Bättig
Benoît Grébert
J. C. Guillot
Thomas Kappeler
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+
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Inverse scattering for the Dirac operator on the real line
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1992
|
Benoît Grébert
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+
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Problèmes spectraux inversés pour les systèmes akns sur la droite réelle
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1990
|
Benoît Grébert
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+
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Le problème spectral inverse pour les systèmes AKNS périodiques sur la droite réelle
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1990
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Benoît Grébert
J. C. Guillot
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