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Going Beyond the Threshold: Scattering and Blow-up in the Focusing NLS Equation

Communications in mathematical physics, 2015-03, Vol.334 (3), p.1573-1615

2015

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Threshold solutions in the focusing 3D cubic NLS equation outside a strictly convex obstacle

Journal of functional analysis, 2022-03, Vol.282 (5), p.109326, Article 109326

2022

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Soliton resolution along a sequence of times for the focusing energy critical wave equation

Geometric and functional analysis, 2017-07, Vol.27 (4), p.798-862

2017

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Classification of the radial solutions of the focusing, energy-critical wave equation

Cambridge journal of mathematics, 2013-01, Vol.1 (1), p.75-144

2013

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Dynamic of Threshold Solutions for Energy-Critical NlS

Geometric and functional analysis, 2009-03, Vol.18 (6), p.1787-1840

2009

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Profiles of bounded radial solutions of the focusing, energy-critical wave equation

Geometric and functional analysis, 2012-06, Vol.22 (3), p.639-698

2012

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Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation

Journal of the European Mathematical Society : JEMS, 2011-01, Vol.13 (3), p.533-599

2011

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Threshold solutions for the focusing 3D cubic Schrödinger equation

Revista matemática iberoamericana, 2010-01, Vol.26 (1), p.1-56

2010

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Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case

Journal of the European Mathematical Society : JEMS, 2012-01, Vol.14 (5), p.1389-1454

2012

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Non-uniform stability for bounded semi-groups on Banach spaces

Journal of evolution equations, 2008-11, Vol.8 (4), p.765-780

2008

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Scattering for the non-radial 3D cubic nonlinear Schrödinger equation

Mathematical research letters, 2008, Vol.15 (6), p.1233-1250

2008

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Blow-up of the critical Sobolev norm for nonscattering radial solutions of supercritical wave equations on R^3

Bulletin de la Société mathématique de France, 2017, Vol.145 (3), p.503-573

2017

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Concentration-compactness and universal profiles for the non-radial energy critical wave equation

Nonlinear analysis, 2016-06, Vol.138, p.44-82

2016

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A geometric condition for the uniform stability of linear magnetoelasticity

ESAIM. Control, optimisation and calculus of variations, 2021, Vol.27

Duyckaerts, Thomas

2021

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A geometric condition for the uniform stability of linear magnetoelasticity

ESAIM. Control, optimisation and calculus of variations, 2021, Vol.27, p.82

2021

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A Singular Critical Potential for the Schrödinger Operator

Canadian mathematical bulletin, 2007-03, Vol.50 (1), p.35-47

Duyckaerts, Thomas

2007

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Global Solutions with Asymptotic Self-Similar Behaviour for the Cubic Wave Equation

Communications in mathematical physics, 2024-03, Vol.405 (3), Article 84

2024

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Scattering for critical radial Neumann waves outside a ball

Revista matemática iberoamericana, 2022-01, Vol.38 (2), p.659-703

2022

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Self-similar solutions of focusing semi-linear wave equations in RN

Journal of evolution equations, 2021, Vol.21 (4), p.4703-4750

2021

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Self-similar solutions of focusing semi-linear wave equations in $${\mathbb {R}}^{N}

Journal of evolution equations, 2021-12, Vol.21 (4), p.4703-4750

2021

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Soliton Resolution for Critical Co-rotational Wave Maps and Radial Cubic Wave Equation

Communications in mathematical physics, 2022-04, Vol.391 (2), p.779-871

2022

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Soliton resolution for the radial critical wave equation in all odd space dimensions

Acta mathematica, 2023, Vol.230 (1), p.1-92, Article 1

2023

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Decay Estimates for Nonradiative Solutions of the Energy-Critical Focusing Wave Equation

The Journal of geometric analysis, 2021-07, Vol.31 (7), p.7036-7074

2021

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Profile decomposition and scattering for general nonlinear Schrödinger equations

Journal of Differential Equations, 2024-11, Vol.410, p.113-170

2024

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Exterior Energy Bounds for the Critical Wave Equation Close to the Ground State

Communications in mathematical physics, 2020-11, Vol.379 (3), p.1113-1175

2020

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Going Beyond the Threshold: Scattering and Blow-up in the Focusing NLS Equation

Threshold solutions in the focusing 3D cubic NLS equation outside a strictly convex obstacle

Soliton resolution along a sequence of times for the focusing energy critical wave equation

Classification of the radial solutions of the focusing, energy-critical wave equation

Dynamic of Threshold Solutions for Energy-Critical NlS

Profiles of bounded radial solutions of the focusing, energy-critical wave equation

Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation

Threshold solutions for the focusing 3D cubic Schrödinger equation

Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case

Non-uniform stability for bounded semi-groups on Banach spaces

Scattering for the non-radial 3D cubic nonlinear Schrödinger equation

Blow-up of the critical Sobolev norm for nonscattering radial solutions of supercritical wave equations on R^3

Concentration-compactness and universal profiles for the non-radial energy critical wave equation

A geometric condition for the uniform stability of linear magnetoelasticity

A geometric condition for the uniform stability of linear magnetoelasticity

A Singular Critical Potential for the Schrödinger Operator

Global Solutions with Asymptotic Self-Similar Behaviour for the Cubic Wave Equation

Scattering for critical radial Neumann waves outside a ball

Self-similar solutions of focusing semi-linear wave equations in RN

Self-similar solutions of focusing semi-linear wave equations in $${\mathbb {R}}^{N}

Soliton Resolution for Critical Co-rotational Wave Maps and Radial Cubic Wave Equation

Soliton resolution for the radial critical wave equation in all odd space dimensions

Decay Estimates for Nonradiative Solutions of the Energy-Critical Focusing Wave Equation

Profile decomposition and scattering for general nonlinear Schrödinger equations

Exterior Energy Bounds for the Critical Wave Equation Close to the Ground State

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