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Profiles for bounded solutions of dispersive equations, with applications to energy-critical wave and Schrödinger equations
Frank Merle
,
Thomas Duyckaerts
,
Carlos Kenig
Journal articles
hal-02979995v1
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Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear wave equation
Carlos Kenig
,
Franck Merle
Acta Mathematica, 2007, A paraître
Journal articles
hal-00174402v1
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Classification of radial solutions of the focusing, energy-critical wave equation
Frank Merle
,
Carlos Kenig
,
Thomas Duyckaerts
Journal articles
hal-02979453v1
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A note on a symmetry result for traveling waves in cylinders
Carlos Kenig
,
Franck Merle
Proceedings of the American Mathematical Society, 2006, 134, pp.697-701
Journal articles
hal-00096482v1
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A Liouville theorem for the viscous Burgers's equation
Carlos Kenig
,
Franck Merle
Journal d'analyse mathématique, 2002, 87, pp.281--298
Journal articles
hal-00194559v1
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Soliton resolution for the radial quadratic wave equation in six space dimensions
Charles Collot
,
Thomas Duyckaerts
,
Carlos Kenig
,
Frank Merle
2022
Preprints, Working Papers, ...
hal-03811434v1
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Soliton resolution along a sequence of times for the focusing energy critical wave equation
Frank Merle
,
Carlos Kenig
,
H. Jia
,
Thomas Duyckaerts
Journal articles
hal-02980380v1
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Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system
Raphaël Côte
,
Carlos Kenig
,
Frank Merle
Journal articles
hal-00221387v1
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Scattering profile for global solutions of the energy-critical wave equation
Thomas Duyckaerts
,
Carlos Kenig
,
Frank Merle
Journal of the European Mathematical Society, 2019, 21 (7), pp.2117-2162. ⟨10.4171/JEMS/882⟩
Journal articles
hal-03860674v1
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Universality of blow-up profile for small radial type II blow-up solutions of energy-critical wave equation
Thomas Duyckaerts
,
Carlos Kenig
,
Frank Merle
2009
Preprints, Working Papers, ...
hal-00424161v1
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Decay Estimates for Nonradiative Solutions of the Energy-Critical Focusing Wave Equation
Thomas Duyckaerts
,
Carlos Kenig
,
Frank Merle
Journal articles
hal-03860658v1
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Universality of Blow up Profile for Small Blow up Solutions to the Energy Critical Wave Map Equation
Thomas Duyckaerts
,
Hao Jia
,
Carlos Kenig
,
Frank Merle
Journal articles
hal-03860681v1
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Scattering for radial, bounded solutions of focusing supercritical wave equations
Frank Merle
,
Carlos Kenig
,
Thomas Duyckaerts
Journal articles
hal-02979731v1
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Universality of the blow-up profile for small type II blow-up solutions of energy-critical wave equation: the non-radial case
Thomas Duyckaerts
,
Carlos Kenig
,
Frank Merle
2010
Preprints, Working Papers, ...
hal-00460872v2
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Solutions of the focusing nonradial critical wave equation with the compactness property
Thomas Duyckaerts
,
Carlos Kenig
,
Frank Merle
Journal articles
hal-02980142v1
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Concentration-compactness and universal profiles for the non-radial energy critical wave equation
Thomas Duyckaerts
,
Carlos Kenig
,
Frank Merle
Journal articles
hal-02980143v1
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Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case
Carlos Kenig
,
Franck Merle
Inventiones Mathematicae, 2006, 166 (3), pp.645--675
Journal articles
hal-00166035v1
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Asymptotic stability and Liouville theorem for scalar viscous conservation laws in cylinders
Carlos Kenig
,
Franck Merle
Communications on Pure and Applied Mathematics, 2006, 59 (6), pp.769--796
Journal articles
hal-00166038v1
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Soliton resolution along a sequence of times for the focusing energy critical wave equation
Thomas Duyckaerts
,
Hao Jia
,
Carlos Kenig
,
Frank Merle
Journal articles
hal-03860688v1
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Global existence for solutions of the focusing wave equation with the compactness property
Thomas Duyckaerts
,
Carlos Kenig
,
Frank Merle
Journal articles
hal-02980141v1
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