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authFullName_s : Thomas Duyckaerts

A singular critical potential for the Schrödinger operator

Thomas Duyckaerts
Canadian Mathematical Bulletin, 2007, 50 (1), pp.35-47
Journal articles hal-00107207v1

On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials

Thomas Duyckaerts , Xu Zhang , Enrique Zuazua
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2005, Accepté
Journal articles hal-00107212v1

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
Image document

On scattering for NLS: from Euclidean to hyperbolic space

Valeria Banica , Rémi Carles , Thomas Duyckaerts
Discrete and Continuous Dynamical Systems - Series A, 2009, 24 (4), pp.1113-1127. ⟨10.3934/dcds.2009.24.1113⟩
Journal articles hal-00204575v2

scattering and blow-up at the threshold for the energy-critical focusing, non-linear Schrodinger equation

Thomas Duyckaerts , Franck Merle
2007
Other publications hal-00174416v1
Image document

A geometric condition for the uniform stability of linear magnetoelasticity

Thomas Duyckaerts
ESAIM: Control, Optimisation and Calculus of Variations, 2021, 27, pp.82. ⟨10.1051/cocv/2021064⟩
Journal articles hal-03300154v1

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
Image document

Scattering norm estimate near the threshold for energy-critical focusing semilinear wave equation

Thomas Duyckaerts , Frank Merle
2008
Preprints, Working Papers, ... hal-00300386v1

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

Optimal decay rates of the solutions of hyperbolic-parabolic systems coupled by an interface

Thomas Duyckaerts
Asymptotic Analysis, 2007, 51 (1), pp.17-45
Journal articles hal-00107203v1

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

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

Thomas Duyckaerts , Justin Holmer , Svetlana Roudenko
2007
Preprints, Working Papers, ... hal-00184270v1

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

Stabilization of the linear system of magnetoelasticity

Thomas Duyckaerts
2004
Other publications hal-00096499v1
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
Image document

Local feedback stabilisation to a non-stationary solution for a damped non-linear wave equation

Kaïs Ammari , Thomas Duyckaerts , Armen Shirikyan
2012
Preprints, Working Papers, ... hal-00759119v1
Image document

Dynamic of threshold solutions for energy-critical wave equation

Thomas Duyckaerts , Frank Merle
2007
Preprints, Working Papers, ... hal-00184712v1

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

Inégalités de résolvante pour l'opérateur de Schrödinger avec potentiel multipolaire critique

Thomas Duyckaerts
Bulletin de la société mathématique de France, 2006, 134 (2), pp.201-239
Journal articles hal-00107210v1

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
Image document

Weighted Strichartz estimates for radial Schrödinger equation on noncompact manifolds

Valeria Banica , Thomas Duyckaerts
Dynamics of Partial Differential Equations, 2007, 4 (4), pp.335-359
Journal articles hal-00164688v2
Image document

Dynamic of threshold solutions for energy-critical NLS

Thomas Duyckaerts , Frank Merle
2007
Preprints, Working Papers, ... hal-00184710v1

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
Image document

Minimal blow-up solutions to the mass-critical inhomogeneous NLS equation

Valeria Banica , Rémi Carles , Thomas Duyckaerts
Communications in Partial Differential Equations, 2011, 36 (3), pp.487-531. ⟨10.1080/03605302.2010.513410⟩
Journal articles hal-00374344v3
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Degenerated codimension 1 crossings and resolvent estimates.

Thomas Duyckaerts , Clotilde Fermanian Kammerer , Thierry Jecko
Asymptotic Analysis, 2009, 65, pp.147-174
Journal articles hal-00338331v1

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