2023
Well-posedness Issues For the Half-Wave Maps Equation With Hyperbolic And Spherical Targets
Lausanne: EPFL2023
p. 120.DOI : 10.5075/epfl-thesis-10344
Global controllability and stabilization of the wave Maps equation from a circle to a sphere
2023-02-06
2022
Semi-global controllability of a geometric wave equation
Pure and Applied Mathematics Quarterly
2022-05-02
DOI : 10.48550/arXiv.2205.00915
Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on $\R^{3+1}$
Memoirs of the AMS
2022
Vol. 278 .DOI : 10.1090/memo/1369
2021
Ill-posedness of the quasilinear wave equation in the space 𝐻7/4(ln𝐻)−𝛽in ℝ2+1
Lausanne: EPFL2021
p. 178.DOI : 10.5075/epfl-thesis-8378
Small data global regularity for half-wave maps in n=4 dimensions
Communications in Partial Differential Equations
2021
Vol. 46 , num. 12, p. 2305-2324.DOI : 10.1080/03605302.2021.1936021
Randomization improved Strichartz estimates and global well-posedness for supercritical data
Annales de l’Institut Fourier
2021
Vol. 71 , num. 5, p. 1929-1961.DOI : 10.5802/aif.3448
2020
Probabilistic small data global Well-Posedness of the energy-critical Maxwell-Klein-Gordon equation
ARMA Archive for Rational Mechanics and Analysis
2020-10-19
A stability theory beyond the co-rotational setting for critical wave maps blow up
2020-09-18
On long time behavior of solutions to nonlinear dispersive equations
Lausanne: EPFL2020
p. 321.DOI : 10.5075/epfl-thesis-10002
Boundary Stabilization of Focusing NLKG near Unstable Equilibria: Radial Case
Pure and Applied Analysis
2020-04-16
On the stability of blowup solutions for the critical corotational wave-map problem
Duke Mathematical Journal
2020
Vol. 169 , num. 3, p. 435-532.DOI : 10.1215/00127094-2019-0053
2019
Cost for a controlled linear KdV equation
ESAIM: Control, Optimisation and Calculus of Variations
2019-11-12
Vol. 27 , p. S21.DOI : 10.1051/cocv/2020066
Stable Manifold for the Critical Non-Linear Wave Equation: A Fourier Theory Approach
Lausanne: EPFL2019
p. 140.DOI : 10.5075/epfl-thesis-7245
2018
On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$
Memoirs of the American Mathematical Society
2018
Vol. 267 , num. 1301.DOI : 10.1090/memo/1301
Concentration compactness for critical radial wave maps
Annals of PDE
2018
Vol. 4 , p. 8.DOI : 10.1007/s40818-018-0045-0
Small data global regularity for half-wave maps
Analysis & PDE
2018
Vol. 11 , num. 3, p. 661–682.DOI : 10.2140/apde.2018.11.661
2017
A Class Of Large Global Solutions For The Wave-Map Equation
Transactions Of The American Mathematical Society
2017
Vol. 369 , num. 4, p. 2747-2773.DOI : 10.1090/tran/6805
Global well-posedness for the Yang-Mills equation in 4+1 dimensions: Small energy
Annals Of Mathematics
2017
Vol. 185 , num. 3, p. 831-893.DOI : 10.4007/annals.2017.185.3.3
Large global solutions for energy supercritical nonlinear wave equations on $\R^{3+1}$
Journal d’Analyse Mathematique
2017
Vol. 133 , p. 91–131.DOI : 10.1007/s11854-017-0029-0
2016
A vector field method on the distorted Fourier side and decay for wave equations with potentials
Memoirs of the American Mathematical Society
2016
Vol. 241 , num. 1142-3/4, p. 1-80.DOI : 10.1090/memo/1142
2015
Global Well-Posedness For The Maxwell-Klein-Gordon Equation In 4+1 Dimensions: Small Energy
Duke Mathematical Journal
2015
Vol. 164 , num. 6, p. 973-1040.DOI : 10.1215/00127094-2885982
On global regularity for systems of nonlinear wave equations with the null-condition
Dynamics of Partial Differential Equations
2015
Vol. 12 , num. 2, p. 115-125.DOI : 10.4310/DPDE.2015.v12.n2.a2
Concentration Compactness for the Critical Maxwell-Klein-Gordon Equation
Annals of PDE
2015
Vol. 1 , num. 5, p. 5/1-208.DOI : 10.1007/s40818-015-0004-y
Optimal polynomial blow up range for critical wave maps
Lausanne: EPFL2015
DOI : 10.5075/epfl-thesis-6432
Optimal polynomial blow up range for critical wave maps
Communications on Pure and Applied Analysis
2015
Vol. 14 , num. 5, p. 1705-1741.DOI : 10.3934/cpaa.2015.14.1705
Codimension one stability of the catenoid under the vanishing mean curvature flow in Minkowski space
Duke Mathematical Journal
2015
Vol. 165 , num. 4, p. 723-791.DOI : 10.1215/00127094-3167383
Center-stable manifold of the ground state in the energy space for the critical wave equation
Mathematische Annalen
2015
Vol. 361 , num. 1-2, p. 1-50.DOI : 10.1007/s00208-014-1059-x
Instability of type II blow up for the quintic nonlinear wave equation on $\mathbb{R}^{3+1}$
Bulletin de la Société Mathématique de France
2015
Vol. 143 , num. 2, p. 339-355.DOI : 10.24033/bsmf.2690
2014
On type I blow up formation for the critical NLW
Communications in Partial Differential Equations
2014
Vol. 39 , num. 9, p. 1718-1728.DOI : 10.1080/03605302.2013.861847
Exotic blow up solutions for the $\Box u^5$-focussing wave equation in $\mathbb{R}^3$
MICHIGAN MATHEMATICAL JOURNAL
2014
Vol. 63 , num. 3, p. 451-501.DOI : 10.1307/mmj/1409932630
Threshold phenomenon for the quintic wave equation in three dimensions
Communications in Mathematical Physics
2014
Vol. 327 , num. 1, p. 309-332.DOI : 10.1007/s00220-014-1900-9
2013
Global Regularity for the Yang-Mills Equations on High Dimensional Minkowski Space
Memoirs Of The American Mathematical Society
2013
Vol. 223 , num. 1047, p. 1-99.DOI : 10.1090/S0065-9266-2012-00566-1
Nondispersive solutions to the $L^2$-critical half-wave equation
Archive for Rational Mechanics and Analysis
2013
Vol. 209 , num. 1, p. 61-129.DOI : 10.1007/s00205-013-0620-1
Global dynamics of the nonradial energy-critical wave equation above the ground state energy
Discrete and Continuous Dynamical Systems
2013
Vol. 33 , num. 6, p. 2423-2450.DOI : 10.3934/dcds.2013.33.2423
A codimension two stable manifold of near soliton equivariant wave maps
Analysis & PDE
2013
Vol. 6 , num. 4, p. 829-857.DOI : 10.2140/apde.2013.6.829
Nonscattering solutions and blowup at infinity for the critical wave equation
Mathematische Annalen
2013
Vol. 357 , num. 1, p. 89-163.DOI : 10.1007/s00208-013-0898-1
Global dynamics away from the ground state for the energy-critical nonlinear wave equation
AMERICAN JOURNAL OF MATHEMATICS
2013
Vol. 134 , num. 4, p. 935-965.DOI : 10.1353/ajm.2013.0034
2012
On stability of the catenoid under vanishing mean curvature flow on Minkowski space
Dynamics Of Partial Differential Equations
2012
Vol. 9 , num. 2, p. 89-119.DOI : 10.4310/DPDE.2012.v9.n2.a1
Full range of blow up exponents for the quintic wave equation in three dimensions
Journal De Mathematiques Pures Et Appliquees
2012
Vol. 101 , num. 6, p. 873-900.DOI : 10.1016/j.matpur.2013.10.008
Blow Up Construction and Stability of Stationary Maps
Lausanne: EPFL2012
DOI : 10.5075/epfl-thesis-5522
A non-local inequality and global existence
Advances in Mathematics
2012
Vol. 230 , num. 2-1, p. 642-648.DOI : 10.1016/j.aim.2012.02.017
Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity
Communications in Partial Differential Equations
2012
Vol. 37 , num. 4, p. 647-689.DOI : 10.1080/03605302.2011.643437
Global dynamics above the ground state energy for the one-dimensional NLKG equation
Mathematische Zeitschrift
2012
Vol. 272 , num. 1-2, p. 297-316.DOI : 10.1007/s00209-011-0934-3
Concentration Compactness for critical wave maps
European Mathematical Society, 2012.ISBN : 978-3-03719-106-4
DOI : 10.4171/106
2010
Slow Blow up solutions for certain critical wave equations
RIMS Kokyuroku Bessatsu
2010
Vol. B22 , p. 93-101.2009
Two-Soliton Solutions to the Three-Dimensional Gravitational Hartree Equation
Communications On Pure And Applied Mathematics
2009
Vol. 62 , p. 1501-1550.DOI : 10.1002/cpa.20292
Renormalization and blow up for the critical Yang-Mills problem
Advances In Mathematics
2009
Vol. 221 , p. 1445-1521.DOI : 10.1016/j.aim.2009.02.017
On structural stability of pseudo-conformal blowup for $L^{2}$-critical Hartree NLS
Annales Henri Poincare
2009
Vol. 10 , num. 6, p. 1159-1205.DOI : 10.1007/s00023-009-0010-2
Non-generic blow-up solutions for the critical focusing NLS in 1-D
Journal Of The European Mathematical Society
2009
Vol. 11 , p. 1-125.DOI : 10.4171/JEMS/143
Slow Blow-Up Solutions For The H-1(R-3) Critical Focusing Semilinear Wave Equation
Duke Mathematical Journal
2009
Vol. 147 , p. 1-53.DOI : 10.1215/00127094-2009-005
2008
Large time decay and scattering for Wave Maps
Dynamics Of Partial Differential Equations
2008
Vol. 5 , p. 1-37.DOI : 10.4310/DPDE.2008.v5.n1.a1
Renormalization and blow up for charge one equivariant critical wave maps
Inventiones Mathematicae
2008
Vol. 171 , p. 543-615.DOI : 10.1007/s00222-007-0089-3
2007
Global Regularity and Singularity Development for Wave Maps
Surveys in differential geometry
2007
Vol. XII , p. 167-201.On the focusing critical semi-linear wave equation
American Journal Of Mathematics
2007
Vol. 129 , p. 843-913.DOI : 10.1353/ajm.2007.0021
2006
Stable manifolds for all monic supercritical focusing nonlinear Schrodinger equations in one dimension
Journal Of The American Mathematical Society
2006
Vol. 19 , p. 815-920.DOI : 10.1090/S0894-0347-06-00524-8
Stability of spherically symmetric wave maps
2006.ISBN : 978-1-4704-0457-4
2004
Global regularity of wave maps from $R^{2+1}$ to $H^2$. Small energy
Communications In Mathematical Physics
2004
Vol. 250 , p. 507-580.DOI : 10.1007/s00220-004-1088-5
2003
Null-Form Estimates and Nonlinear Waves
Advances in Differential Equations
2003
Vol. 8 , num. 10, p. 1193-1236.DOI : 10.57262/ade/1355926159
Global regularity of wave maps from $R^{3+1}$ to surfaces
Communications In Mathematical Physics
2003
Vol. 238 , p. 333-366.DOI : 10.1007/s00220-003-0836-2