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authFullName_s : Carlos Kenig

Profiles for bounded solutions of dispersive equations, with applications to energy-critical wave and Schrödinger equations

Frank Merle , Thomas Duyckaerts , Carlos Kenig
Communications on Pure , 2015, 4, pp.1275-1326. ⟨10.3934/cpaa.2015.14.1275⟩
Journal articles hal-02979995v1

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

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

Frank Merle , Carlos Kenig , Thomas Duyckaerts
European Journal of Applied Mathematics, 2013, 1, pp.75-144. ⟨10.4310/CJM.2013.v1.n1.a3⟩
Journal articles hal-02979453v1

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

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

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

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

Frank Merle , Carlos Kenig , H. Jia , Thomas Duyckaerts
Geometric And Functional Analysis, 2017, 4, pp.798-862. ⟨10.1007/s00039-017-0418-7⟩
Journal articles hal-02980380v1
Image document

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
Communications in Mathematical Physics, 2008, 284 (1), pp.203-225. ⟨10.1007/s00220-008-0604-4⟩
Journal articles hal-00221387v1

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
Image document

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

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

Thomas Duyckaerts , Carlos Kenig , Frank Merle
The Journal of Geometric Analysis, 2021, 31 (7), pp.7036-7074. ⟨10.1007/s12220-020-00591-z⟩
Journal articles hal-03860658v1

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
International Mathematics Research Notices, 2018, 2018 (22), pp.6961-7025. ⟨10.1093/imrn/rnx073⟩
Journal articles hal-03860681v1

Scattering for radial, bounded solutions of focusing supercritical wave equations

Frank Merle , Carlos Kenig , Thomas Duyckaerts
International Mathematics Research Notices, 2014, 1, pp.224-258. ⟨10.1093/imrn/rns227⟩
Journal articles hal-02979731v1
Image document

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

Solutions of the focusing nonradial critical wave equation with the compactness property

Thomas Duyckaerts , Carlos Kenig , Frank Merle
Annali della Scuola Normale Superiore di Pisa, 2016, pp.731-808. ⟨10.2422/2036-2145.201402_001⟩
Journal articles hal-02980142v1

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

Thomas Duyckaerts , Carlos Kenig , Frank Merle
Nonlinear Analysis, 2016, pp.44-82. ⟨10.1016/j.na.2015.12.027⟩
Journal articles hal-02980143v1

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

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

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

Thomas Duyckaerts , Hao Jia , Carlos Kenig , Frank Merle
Geometric And Functional Analysis, 2017, 27 (4), pp.798-862. ⟨10.1007/s00039-017-0418-7⟩
Journal articles hal-03860688v1

Global existence for solutions of the focusing wave equation with the compactness property

Thomas Duyckaerts , Carlos Kenig , Frank Merle
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2016, 6, pp.1675-1690. ⟨10.1016/j.anihpc.2015.08.002⟩
Journal articles hal-02980141v1