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Global Existence and Finite-Time Blow-Up for a Nonlinear Nonlocal Evolution Equation

Communications in mathematical physics, 2023-09, Vol.402 (3), p.3233-3252

2023

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Bilinear Strichartz estimates for the Zakharov–Kuznetsov equation and applications

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2015-03, Vol.32 (2), p.347-371

2015

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A note on the well-posedness in the energy space for the generalized ZK equation posed on R×T

Nonlinear differential equations and applications, 2024, Vol.31 (5)

2024

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Unconditional well-posedness for some nonlinear periodic one-dimensional dispersive equations

Journal of functional analysis, 2022-07, Vol.283 (1), p.109490, Article 109490

2022

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A note on the inviscid limit of the Benjamin-Ono-Burgers equation in the energy space

Proceedings of the American Mathematical Society, 2013-08, Vol.141 (8), p.2793-2798

MOLINET, LUC

2013

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Global well-posedness in L 2 for the periodic Benjamin-Ono equation

American journal of mathematics, 2008-06, Vol.130 (3), p.635-683

Molinet, Luc

2008

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Improvement of the energy method for strongly nonresonant dispersive equations and applications

Analysis & PDE, 2015-09, Vol.8 (6), p.1455-1495

2015

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Global well-posedness in the energy space for the Benjamin–Ono equation on the circle

Mathematische annalen, 2007-02, Vol.337 (2), p.353-383

Molinet, Luc

2007

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On well-posedness for some Korteweg–de Vries type equations with variable coefficients

Journal of evolution equations, 2023-09, Vol.23 (3), Article 52

2023

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Some remarks on the nonlinear Schrödinger equation with fractional dissipation

Journal of mathematical physics, 2016-10, Vol.57 (10)

2016

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On unconditional well-posedness for the periodic modified Korteweg–de Vries equation

Journal of the Mathematical Society of Japan, 2019-01, Vol.71 (1), p.147-201

2019

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A Liouville Property with Application to Asymptotic Stability for the Camassa–Holm Equation

Archive for rational mechanics and analysis, 2018-10, Vol.230 (1), p.185-230

Molinet, Luc

2018

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A rigidity result for the Holm–Staley b-family of equations with application to the asymptotic stability of the Degasperis–Procesi peakon

Nonlinear analysis: real world applications, 2019-12, Vol.50, p.675-705

Molinet, Luc

2019

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Global Weak Solutions for a Shallow Water Equation

Communications in mathematical physics, 2000-04, Vol.211 (1), p.45-61

2000

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Sharp ill-posedness results for the KdV and mKdV equations on the torus

Advances in mathematics (New York. 1965), 2012-07, Vol.230 (4-6), p.1895-1930

Molinet, Luc

2012

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Asymptotic Stability for Some Non positive Perturbations of the Camassa–Holm Peakon with Application to the Antipeakon–peakon Profile

International mathematics research notices, 2020-11, Vol.2020 (21), p.7908-7943

Molinet, Luc

2020

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Global well-posedness for the KP-II equation on the background of a non-localized solution

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2011-09, Vol.28 (5), p.653-676

2011

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Dispersive limits for some perturbations of the NLS equation

Monatshefte für Mathematik, 2019-04, Vol.188 (4), p.629-651

2019

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A rigidity result for the Holm–Staley b -family of equations with application to the asymptotic stability of the Degasperis–Procesi peakon

Nonlinear analysis: real world applications, 2019-12, Vol.50, p.675-705

Molinet, Luc

2019

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SHARP ILL-POSEDNESS AND WELL-POSEDNESS RESULTS FOR THE KdV-BURGERS EQUATION: THE PERIODIC CASE

Transactions of the American Mathematical Society, 2013-01, Vol.365 (1), p.123-141

2013

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Orbital stability of solitary waves for a shallow water equation

Physica. D, 2001-09, Vol.157 (1), p.75-89

2001

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On the orbital stability of the Degasperis-Procesi antipeakon-peakon profile

Journal of Differential Equations, 2020-09, Vol.269 (6), p.4799-4852

2020

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Ill-posedness of the Camassa–Holm and related equations in the critical space

Journal of Differential Equations, 2019-01, Vol.266 (2-3), p.1698-1707

2019

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Global Well-Posedness in L2 for the Periodic Benjamin-Ono Equation

American journal of mathematics, 2008-06, Vol.130 (3), p.635-683

Molinet, Luc

2008

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A note on the well-posedness in the energy space for the generalized ZK equation posed on $$\mathbb {R}\times \mathbb {T}

Nonlinear differential equations and applications, 2024-09, Vol.31 (5), Article 76

2024

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Global Existence and Finite-Time Blow-Up for a Nonlinear Nonlocal Evolution Equation

Bilinear Strichartz estimates for the Zakharov–Kuznetsov equation and applications

A note on the well-posedness in the energy space for the generalized ZK equation posed on R×T

Unconditional well-posedness for some nonlinear periodic one-dimensional dispersive equations

A note on the inviscid limit of the Benjamin-Ono-Burgers equation in the energy space

Global well-posedness in L 2 for the periodic Benjamin-Ono equation

Improvement of the energy method for strongly nonresonant dispersive equations and applications

Global well-posedness in the energy space for the Benjamin–Ono equation on the circle

On well-posedness for some Korteweg–de Vries type equations with variable coefficients

Some remarks on the nonlinear Schrödinger equation with fractional dissipation

On unconditional well-posedness for the periodic modified Korteweg–de Vries equation

A Liouville Property with Application to Asymptotic Stability for the Camassa–Holm Equation

A rigidity result for the Holm–Staley b-family of equations with application to the asymptotic stability of the Degasperis–Procesi peakon

Global Weak Solutions for a Shallow Water Equation

Sharp ill-posedness results for the KdV and mKdV equations on the torus

Asymptotic Stability for Some Non positive Perturbations of the Camassa–Holm Peakon with Application to the Antipeakon–peakon Profile

Global well-posedness for the KP-II equation on the background of a non-localized solution

Dispersive limits for some perturbations of the NLS equation

A rigidity result for the Holm–Staley b -family of equations with application to the asymptotic stability of the Degasperis–Procesi peakon

SHARP ILL-POSEDNESS AND WELL-POSEDNESS RESULTS FOR THE KdV-BURGERS EQUATION: THE PERIODIC CASE

Orbital stability of solitary waves for a shallow water equation

On the orbital stability of the Degasperis-Procesi antipeakon-peakon profile

Ill-posedness of the Camassa–Holm and related equations in the critical space

Global Well-Posedness in L2 for the Periodic Benjamin-Ono Equation

A note on the well-posedness in the energy space for the generalized ZK equation posed on $$\mathbb {R}\times \mathbb {T}

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