Publications

2023

Well-posedness Issues For the Half-Wave Maps Equation With Hyperbolic And Spherical Targets

Y. Liu / Directeur(s) : J. Krieger 

Lausanne: EPFL

2023

p. 120.

DOI : 10.5075/epfl-thesis-10344

Global controllability and stabilization of the wave Maps equation from a circle to a sphere

J-M. Coron; J. Krieger; S. Xiang 

2023-02-06

2022

Semi-global controllability of a geometric wave equation

J. Krieger; S. Xiang 

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 $\R^{3+1}$

S. F. Burzio; J. Krieger 

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

G. Ohlmann / Directeur(s) : J. Krieger 

Lausanne: EPFL

2021

p. 178.

DOI : 10.5075/epfl-thesis-8378

Small data global regularity for half-wave maps in n=4 dimensions

A. Kiesenhofer; J. Krieger 

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

N. Burq; J. Krieger 

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

J. Krieger; J. Lührmann; G. Staffilani 

ARMA Archive for Rational Mechanics and Analysis

2020-10-19

A stability theory beyond the co-rotational setting for critical wave maps blow up

J. Krieger; S. Miao; W. Schlag 

2020-09-18

On long time behavior of solutions to nonlinear dispersive equations

S. F. Burzio / Directeur(s) : J. Krieger 

Lausanne: EPFL

2020

p. 321.

DOI : 10.5075/epfl-thesis-10002

Boundary Stabilization of Focusing NLKG near Unstable Equilibria: Radial Case

J. Krieger; S. Xiang 

Pure and Applied Analysis

2020-04-16

On the stability of blowup solutions for the critical corotational wave-map problem

J. Krieger; S. Miao 

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

J. Krieger; S. Xiang 

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

G. Graf / Directeur(s) : J. Krieger 

Lausanne: EPFL

2019

p. 140.

DOI : 10.5075/epfl-thesis-7245

2018

On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

J. Krieger 

Memoirs of the American Mathematical Society

2018

Vol. 267 , num. 1301.

DOI : 10.1090/memo/1301

Concentration compactness for critical radial wave maps

E. Chiodaroli; J. Krieger; J. Lührmann 

Annals of PDE

2018

Vol. 4 , p. 8.

DOI : 10.1007/s40818-018-0045-0

Small data global regularity for half-wave maps

J. Krieger; Y. Sire 

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

E. Chiodaroli; J. Krieger 

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

J. Krieger; D. Tataru 

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 $\R^{3+1}$

J. Krieger; W. Schlag 

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

R. Donninger; J. Krieger 

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

J. Krieger; J. Sterbenz; D. Tataru 

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

C. Gao; A. Dasgupta; J. Krieger 

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

J. Krieger; J. Luhrmann 

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

C. Gao / Directeur(s) : J. Krieger 

Lausanne: EPFL

2015

DOI : 10.5075/epfl-thesis-6432

Optimal polynomial blow up range for critical wave maps

C. Gao; J. Krieger 

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

R. Donninger; J. Krieger; J. Szeftel; W. W. Y. Wong 

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

J. Krieger; K. Nakanishi; S. Wilhelm 

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 $\mathbb{R}^{3+1}$

J. Krieger; J. E. Nahas 

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

J. Krieger; W. W. Y. Wong 

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 $\mathbb{R}^3$

J. Krieger; R. Donninger; M. Huang; W. Schlag 

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

J. Krieger; K. Nakanishi; W. Schlag 

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

J. Krieger; J. Sterbenz 

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

J. Krieger; E. Lenzmann; P. Raphael 

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

J. Krieger; K. Nakanishi; W. Schlag 

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

J. Krieger; I. Bejenaru; D. Tataru 

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

R. Donninger; J. Krieger 

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

J. Krieger; W. Schlag; K. Nakanishi 

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

J. Krieger; H. Lindblad 

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

J. Krieger; W. Schlag 

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

S. M. Shahshahani / Directeur(s) : J. Krieger 

Lausanne: EPFL

2012

DOI : 10.5075/epfl-thesis-5522

A non-local inequality and global existence

J. Krieger; P. Gressman; R. Strain 

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

J. Krieger; R. M. Strain 

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

J. Krieger; K. Nakanishi; W. Schlag 

Mathematische Zeitschrift

2012

Vol. 272 , num. 1-2, p. 297-316.

DOI : 10.1007/s00209-011-0934-3

Concentration Compactness for critical wave maps

J. Krieger; W. Schlag 

European Mathematical Society, 2012.

ISBN : 978-3-03719-106-4

DOI : 10.4171/106

2010

Slow Blow up solutions for certain critical wave equations

J. Krieger 

RIMS Kokyuroku Bessatsu

2010

Vol. B22 , p. 93-101.

2009

Two-Soliton Solutions to the Three-Dimensional Gravitational Hartree Equation

J. Krieger; Y. Martel; P. Raphael 

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

J. Krieger; W. Schlag; D. Tataru 

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

J. Krieger; E. Lenzmann; P. Raphael 

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

J. Krieger; W. Schlag 

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

J. Krieger; W. Schlag; D. Tataru 

Duke Mathematical Journal

2009

Vol. 147 , p. 1-53.

DOI : 10.1215/00127094-2009-005

2008

Large time decay and scattering for Wave Maps

J. Krieger; K. Nakanishi 

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

J. Krieger; W. Schlag; D. Tataru 

Inventiones Mathematicae

2008

Vol. 171 , p. 543-615.

DOI : 10.1007/s00222-007-0089-3

2007

Global Regularity and Singularity Development for Wave Maps

J. Krieger 

Surveys in differential geometry

2007

Vol. XII , p. 167-201.

On the focusing critical semi-linear wave equation

J. Krieger; W. Schlag 

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

J. Krieger; W. Schlag 

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

J. Krieger 

2006.

ISBN : 978-1-4704-0457-4

2004

Global regularity of wave maps from $R^{2+1}$ to $H^2$. Small energy

J. Krieger 

Communications In Mathematical Physics

2004

Vol. 250 , p. 507-580.

DOI : 10.1007/s00220-004-1088-5

2003

Null-Form Estimates and Nonlinear Waves

J. Krieger 

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

J. Krieger 

Communications In Mathematical Physics

2003

Vol. 238 , p. 333-366.

DOI : 10.1007/s00220-003-0836-2