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Author ID: schlag.wilhelm Recent zbMATH articles by "Schlag, Wilhelm"
Published as: Schlag, Wilhelm; Schlag, W.
all top 5

Serials

9 Communications in Mathematical Physics
7 American Journal of Mathematics
6 IMRN. International Mathematics Research Notices
5 Advances in Mathematics
5 Duke Mathematical Journal
4 Journal d’Analyse Mathématique
3 Nonlinearity
3 Inventiones Mathematicae
3 Journal of Functional Analysis
3 Transactions of the American Mathematical Society
3 Geometric and Functional Analysis. GAFA
3 Annals of Mathematics. Second Series
3 Journal of the European Mathematical Society (JEMS)
3 Journal of Spectral Theory
2 Mathematische Annalen
2 Journal of the American Mathematical Society
2 Discrete and Continuous Dynamical Systems
2 Cambridge Studies in Advanced Mathematics
2 Proceedings of Symposia in Pure Mathematics
1 Archive for Rational Mechanics and Analysis
1 Communications on Pure and Applied Mathematics
1 Journal of Mathematical Physics
1 Acta Mathematica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Journal of Differential Equations
1 Journal of Number Theory
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Ergodic Theory and Dynamical Systems
1 Forum Mathematicum
1 Communications in Partial Differential Equations
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Mathematical Analysis
1 Notices of the American Mathematical Society
1 Calculus of Variations and Partial Differential Equations
1 Mathematical Research Letters
1 Annales Henri Poincaré
1 Moscow Mathematical Journal
1 Dynamics of Partial Differential Equations
1 Graduate Studies in Mathematics
1 Journal of Modern Dynamics
1 Analysis & PDE
1 Wiadomości Matematyczne
1 Zurich Lectures in Advanced Mathematics
1 EMS Monographs in Mathematics

Publications by Year

Citations contained in zbMATH Open

103 Publications have been cited 3,016 times in 1,593 Documents Cited by Year
Sixty years of Bernoulli convolutions. Zbl 0961.42006
Peres, Yuval; Schlag, Wilhelm; Solomyak, Boris
155
2000
Time decay for solutions of Schrödinger equations with rough and time-dependent potentials. Zbl 1063.35035
Rodnianski, Igor; Schlag, Wilhelm
151
2004
Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions. Zbl 0990.39014
Goldstein, Michael; Schlag, Wilhelm
111
2001
Classical and multilinear harmonic analysis. Volume I. Zbl 1281.42002
Muscalu, Camil; Schlag, Wilhelm
110
2013
Renormalization and blow up for charge one equivariant critical wave maps. Zbl 1139.35021
Krieger, J.; Schlag, W.; Tataru, D.
109
2008
Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions. Zbl 0961.42007
Peres, Yuval; Schlag, Wilhelm
103
2000
Dispersive estimates for Schrödinger operators in dimensions one and three. Zbl 1086.81077
Goldberg, M.; Schlag, W.
88
2004
Slow blow-up solutions for the \(H^1(\mathbb R^3)\) critical focusing semilinear wave equation. Zbl 1170.35066
Krieger, Joachim; Schlag, Wilhelm; Tataru, Daniel
87
2009
Dispersive estimates for Schrödinger operators: a survey. Zbl 1143.35001
Schlag, W.
87
2007
Invariant manifolds and dispersive Hamiltonian evolution equations. Zbl 1235.37002
Nakanishi, Kenji; Schlag, Wilhelm
74
2011
Concentration compactness for critical wave maps. Zbl 1387.35006
Krieger, Joachim; Schlag, Wilhelm
60
2012
Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension. Zbl 1281.35077
Krieger, J.; Schlag, W.
60
2006
Dispersive analysis of charge transfer models. Zbl 1130.81053
Rodnianski, Igor; Schlag, Wilhelm; Soffer, Avraham
57
2005
On pointwise decay of linear waves on a Schwarzschild black hole background. Zbl 1242.83054
Donninger, Roland; Schlag, Wilhelm; Soffer, Avy
54
2012
Classical and multilinear harmonic analysis. Volume II. Zbl 1282.42001
Muscalu, Camil; Schlag, Wilhelm
53
2013
Dispersive estimates for Schrödinger operators in dimension two. Zbl 1134.35321
Schlag, W.
52
2005
Fine properties of the integrated density of states and a quantitative separation property of the Dirichlet eigenvalues. Zbl 1171.82011
Goldstein, Michael; Schlag, Wilhelm
52
2008
Anderson localization for Schrödinger operators on \(\mathbb{Z}^2\)with quasi-periodic potential. Zbl 1022.47023
Bourgain, Jean; Goldstein, Michael; Schlag, Wilhelm
52
2002
Anderson localization for Schrödinger operators on \(\mathbb Z\) with potentials given by the skew-shift. Zbl 0994.82044
Bourgain, Jean; Goldstein, Michael; Schlag, Wilhelm
50
2001
Global dynamics above the ground state energy for the cubic NLS equation in 3D. Zbl 1237.35148
Nakanishi, K.; Schlag, W.
49
2012
On the focusing critical semi-linear wave equation. Zbl 1219.35144
Krieger, J.; Schlag, W.
46
2007
A proof of Price’s Law on Schwarzschild black hole manifolds for all angular momenta. Zbl 1205.83041
Donninger, Roland; Schlag, Wilhelm; Soffer, Avy
45
2011
Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions. Zbl 1181.35208
Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm
44
2009
Stable manifolds for an orbitally unstable nonlinear Schrödinger equation. Zbl 1180.35490
Schlag, Wilhelm
44
2009
A limiting absorption principle for the three-dimensional Schrödinger equation with \(L^p\) potentials. Zbl 1069.35063
Goldberg, M.; Schlag, W.
41
2004
Characterization of large energy solutions of the equivariant wave map problem. I. Zbl 1315.35130
Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W.
41
2015
Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in \(\mathbb R^3\). Zbl 1152.35021
Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm
40
2008
Global dynamics away from the ground state for the energy-critical nonlinear wave equation. Zbl 1307.35170
Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm
37
2013
Local smoothing estimates related to the circular maximal theorem. Zbl 0877.42006
Schlag, Wilhelm; Sogge, Christopher D.
35
1997
Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. II. Zbl 1146.35324
Erdoğan, M. Burak; Schlag, Wilhelm
34
2006
Agmon-Kato-Kuroda theorems for a large class of perturbations. Zbl 1092.35073
Ionescu, Alexandru D.; Schlag, Wilhelm
34
2006
Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. I. Zbl 1080.35102
Erdoğan, M. Burak; Schlag, Wilhelm
34
2004
Center-stable manifold of the ground state in the energy space for the critical wave equation. Zbl 1315.35133
Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm
34
2015
Full range of blow up exponents for the quintic wave equation in three dimensions. Zbl 1320.35096
Krieger, Joachim; Schlag, Wilhelm
34
2014
Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation. Zbl 1213.35307
Nakanishi, K.; Schlag, W.
32
2011
A generalization of Bourgain’s circular maximal theorem. Zbl 0867.42010
Schlag, W.
32
1997
Non-generic blow-up solutions for the critical focusing NLS in 1-D. Zbl 1163.35035
Krieger, J.; Schlag, Wilhelm
31
2009
Anderson localization for Schrödinger operators on \(\mathbb{Z}\) with strongly mixing potentials. Zbl 1040.81014
Bourgain, Jean; Schlag, Wilhelm
30
2000
Characterization of large energy solutions of the equivariant wave map problem. II. Zbl 1315.35131
Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W.
30
2015
Schauder and \(L^ p\) estimates for parabolic systems via Campanato spaces. Zbl 0864.35023
Schlag, Wilhelm
29
1996
On resonances and the formation of gaps in the spectrum of quasi-periodic Schrödinger equations. Zbl 1268.82013
Goldstein, Michael; Schlag, Wilhelm
28
2011
Renormalization and blow up for the critical Yang-Mills problem. Zbl 1183.35203
Krieger, J.; Schlag, W.; Tataru, D.
27
2009
Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption. Zbl 1256.35138
Nakanishi, K.; Schlag, W.
25
2012
Global dynamics of the nonradial energy-critical wave equation above the ground state energy. Zbl 1272.35153
Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm
25
2013
Relaxation of wave maps exterior to a ball to harmonic maps for all data. Zbl 1288.35356
Kenig, Carlos E.; Lawrie, Andrew; Schlag, Wilhelm
25
2014
Decay for the wave and Schrödinger evolutions on manifolds with conical ends. I. Zbl 1185.35046
Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang
24
2010
Numerical verification of a gap condition for a linearized nonlinear Schrödinger equation. Zbl 1106.35044
Demanet, Laurent; Schlag, Wilhelm
24
2006
Channels of energy for the linear radial wave equation. Zbl 1331.35209
Kenig, Carlos; Lawrie, Andrew; Liu, Baoping; Schlag, Wilhelm
22
2015
Spectral theory and nonlinear partial differential equations: a survey. Zbl 1121.35121
Schlag, Wilhelm
21
2006
Exotic blowup solutions for the \(u^5\) focusing wave equation in \(\mathbb{R}^{3}\). Zbl 1310.35170
Donninger, Roland; Huang, Min; Krieger, Joachim; Schlag, Wilhelm
21
2014
Energy partition for the linear radial wave equation. Zbl 1311.35022
Côte, Raphaël; Kenig, Carlos E.; Schlag, Wilhelm
21
2014
Global dynamics above the ground state energy for the one-dimensional NLKG equation. Zbl 1263.35002
Krieger, J.; Nakanishi, K.; Schlag, W.
20
2012
Threshold phenomenon for the quintic wave equation in three dimensions. Zbl 1297.35139
Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm
20
2014
On the spectral properties of \(L_{\pm }\) in three dimensions. Zbl 1232.35106
Costin, Ovidiu; Huang, Min; Schlag, Wilhelm
18
2012
Decay for the wave and Schrödinger evolutions on manifolds with conical ends. II. Zbl 1187.35032
Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang
16
2010
Two Erdős problems on lacunary sequences: chromatic number and Diophantine approximation. Zbl 1215.05074
Peres, Yuval; Schlag, Wilhelm
16
2010
Profiles for the radial focusing \(4d\) energy-critical wave equation. Zbl 1404.35294
Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W.
15
2018
Long time dynamics for damped Klein-Gordon equations. (Dynamique en temps grand des solutions de l’équation de Klein-Gordon amortie.) Zbl 1392.35041
Burq, Nicolas; Raugel, Geneviève; Schlag, Wilhelm
14
2017
Stable soliton resolution for exterior wave maps in all equivariance classes. Zbl 1331.35076
Kenig, Carlos; Lawrie, Andrew; Liu, Baoping; Schlag, Wilhelm
14
2015
Homogeneity of the spectrum for quasi-periodic Schrödinger operators. Zbl 1478.47023
Damanik, David; Goldstein, Michael; Schlag, Wilhelm; Voda, Mircea
14
2018
Large global solutions for energy supercritical nonlinear wave equations on \(\mathbb{R}^{3+1}\). Zbl 1402.35180
Krieger, Joachim; Schlag, Wilhelm
13
2017
Lower bounds for the absolute value of random polynomials on a neighborhood of the unit circle. Zbl 0949.42006
Konyagin, S. V.; Schlag, W.
12
1999
Classical and quantum scattering for a class of long range random potentials. Zbl 1019.81059
Rodnianski, Igor; Schlag, Wilhelm
12
2003
Structure formulas for wave operators. Zbl 1445.35234
Beceanu, M.; Schlag, W.
12
2020
Scattering for wave maps exterior to a ball. Zbl 1264.35045
Lawrie, A.; Schlag, W.
12
2013
On modified scattering for 1D quadratic Klein-Gordon equations with non-generic potentials. Zbl 1517.35196
Lindblad, Hans; Lührmann, Jonas; Schlag, Wilhelm; Soffer, Avy
11
2023
Invariant manifolds around soliton manifolds for the nonlinear Klein-Gordon equation. Zbl 1261.35037
Nakanishi, K.; Schlag, W.
10
2012
A geometric proof of the circular maximal theorem. Zbl 0942.42010
Schlag, W.
10
1998
Numerical study of the blowup/global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation. Zbl 1244.35018
Donninger, R.; Schlag, W.
10
2011
Regularity and convergence rates for the Lyapunov exponents of linear cocycles. Zbl 1321.37023
Schlag, Wilhelm
10
2013
Decay estimates for the one-dimensional wave equation with an inverse power potential. Zbl 1241.35018
Donninger, Roland; Schlag, Wilhelm
10
2010
On the spectrum of multi-frequency quasiperiodic Schrödinger operators with large coupling. Zbl 07088060
Goldstein, Michael; Schlag, Wilhelm; Voda, Mircea
10
2019
On continuum incidence problems related to harmonic analysis. Zbl 1043.42010
Schlag, W.
9
2003
A course in complex analysis and Riemann surfaces. Zbl 1326.30003
Schlag, Wilhelm
9
2014
On the Hardy-Littlewood majorant problem for random sets. Zbl 1158.42002
Mockenhaupt, G.; Schlag, W.
8
2009
Structure formulas for wave operators under a small scaling invariant condition. Zbl 1428.35254
Beceanu, Marius; Schlag, Wilhelm
8
2019
On the integrated density of states for Schrödinger operators on \(\mathbb Z^2\) with quasi periodic potential. Zbl 1031.82023
Schlag, Wilhelm
7
2001
Semiclassical analysis of low and zero energy scattering for one-dimensional Schrödinger operators with inverse square potentials. Zbl 1160.35056
Costin, Ovidiu; Schlag, Wilhelm; Staubach, Wolfgang; Tanveer, Saleh
7
2008
Frequency concentration and location lengths for the Anderson model at small disorders. Zbl 1032.60060
Schlag, W.; Shubin, C.; Wolff, Thomas H.
6
2002
Effective multi-scale approach to the Schrödinger cocycle over a skew-shift base. Zbl 1471.35105
Han, R.; Lemm, M.; Schlag, W.
6
2020
On pointwise decay of waves. Zbl 1467.81039
Schlag, W.
6
2021
A higher-dimensional Bourgain-Dyatlov fractal uncertainty principle. Zbl 1439.32082
Han, Rui; Schlag, Wilhelm
6
2020
Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Zbl 1110.00015
5
2007
Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials. Zbl 1258.81038
Costin, Ovidiu; Donninger, Roland; Schlag, Wilhelm; Tanveer, Saleh
5
2012
A geometric inequality with applications to the Kakeya problem in three dimensions. Zbl 0939.42012
Schlag, W.
5
1998
A remark on Littlewood-Paley theory for the distorted Fourier transform. Zbl 1159.42008
Schlag, W.
5
2007
Bernoulli convolutions and an intermediate value theorem for entropies of \(k\)-partitions. Zbl 1024.37004
Lindenstrauss, Elon; Peres, Yuval; Schlag, Wilhelm
4
2002
The Weber equation as a normal form with applications to top of the barrier scattering. Zbl 1414.34067
Costin, Rodica D.; Park, Hyejin; Schlag, Wilhelm
4
2018
Linear stability of the Skyrmion. Zbl 1405.83018
Creek, Matthew; Donninger, Roland; Schlag, Wilhelm; Snelson, Stanley
4
2017
On Schrödinger operators with dynamically defined potentials. Zbl 1143.47301
Goldstein, Michael; Schlag, Wilhelm
3
2005
Energy growth in Schrödinger’s equation with Markovian forcing. Zbl 1033.81023
Erdoğan, M. Burak; Killip, Rowan; Schlag, Wilhelm
3
2003
Global center stable manifold for the defocusing energy critical wave equation with potential. Zbl 1465.35306
Jia, Hao; Liu, Baoping; Schlag, Wilhelm; Xu, Guixiang
3
2020
An introduction to multiscale techniques in the theory of Anderson localization. I. Zbl 07515361
Schlag, Wilhelm
3
2022
Generic and non-generic behavior of solutions to defocusing energy critical wave equation with potential in the radial case. Zbl 1405.35114
Jia, Hao; Liu, Baoping; Schlag, Wilhelm; Xu, Guixiang
3
2017
On discrete Schrödinger operators with stochastic potentials. Zbl 1119.39302
Schlag, W.
2
2005
\(L^p\to L^q\) estimates for the circular maximal function. Zbl 0981.42012
Schlag, Wilhelm
2
2000
The method of concentration compactness and dispersive Hamiltonian evolution equations. Zbl 1319.35112
Schlag, W.
2
2014
Semilinear wave equations. Zbl 1373.35181
Schlag, Wilhelm
2
2014
Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle. Zbl 1476.37074
Han, Rui; Lemm, Marius; Schlag, Wilhelm
2
2020
On uniformly distributed dilates of finite integer sequences. Zbl 0946.11016
Konyagin, S. V.; Ruzsa, I. Z.; Schlag, W.
1
2000
On modified scattering for 1D quadratic Klein-Gordon equations with non-generic potentials. Zbl 1517.35196
Lindblad, Hans; Lührmann, Jonas; Schlag, Wilhelm; Soffer, Avy
11
2023
Asymptotic stability of the sine-Gordon kink under odd perturbations. Zbl 07783729
Lührmann, Jonas; Schlag, Wilhelm
1
2023
An introduction to multiscale techniques in the theory of Anderson localization. I. Zbl 07515361
Schlag, Wilhelm
3
2022
On pointwise decay of waves. Zbl 1467.81039
Schlag, W.
6
2021
Structure formulas for wave operators. Zbl 1445.35234
Beceanu, M.; Schlag, W.
12
2020
Effective multi-scale approach to the Schrödinger cocycle over a skew-shift base. Zbl 1471.35105
Han, R.; Lemm, M.; Schlag, W.
6
2020
A higher-dimensional Bourgain-Dyatlov fractal uncertainty principle. Zbl 1439.32082
Han, Rui; Schlag, Wilhelm
6
2020
Global center stable manifold for the defocusing energy critical wave equation with potential. Zbl 1465.35306
Jia, Hao; Liu, Baoping; Schlag, Wilhelm; Xu, Guixiang
3
2020
Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle. Zbl 1476.37074
Han, Rui; Lemm, Marius; Schlag, Wilhelm
2
2020
On the spectrum of multi-frequency quasiperiodic Schrödinger operators with large coupling. Zbl 07088060
Goldstein, Michael; Schlag, Wilhelm; Voda, Mircea
10
2019
Structure formulas for wave operators under a small scaling invariant condition. Zbl 1428.35254
Beceanu, Marius; Schlag, Wilhelm
8
2019
Profiles for the radial focusing \(4d\) energy-critical wave equation. Zbl 1404.35294
Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W.
15
2018
Homogeneity of the spectrum for quasi-periodic Schrödinger operators. Zbl 1478.47023
Damanik, David; Goldstein, Michael; Schlag, Wilhelm; Voda, Mircea
14
2018
The Weber equation as a normal form with applications to top of the barrier scattering. Zbl 1414.34067
Costin, Rodica D.; Park, Hyejin; Schlag, Wilhelm
4
2018
Long time dynamics for damped Klein-Gordon equations. (Dynamique en temps grand des solutions de l’équation de Klein-Gordon amortie.) Zbl 1392.35041
Burq, Nicolas; Raugel, Geneviève; Schlag, Wilhelm
14
2017
Large global solutions for energy supercritical nonlinear wave equations on \(\mathbb{R}^{3+1}\). Zbl 1402.35180
Krieger, Joachim; Schlag, Wilhelm
13
2017
Linear stability of the Skyrmion. Zbl 1405.83018
Creek, Matthew; Donninger, Roland; Schlag, Wilhelm; Snelson, Stanley
4
2017
Generic and non-generic behavior of solutions to defocusing energy critical wave equation with potential in the radial case. Zbl 1405.35114
Jia, Hao; Liu, Baoping; Schlag, Wilhelm; Xu, Guixiang
3
2017
Characterization of large energy solutions of the equivariant wave map problem. I. Zbl 1315.35130
Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W.
41
2015
Center-stable manifold of the ground state in the energy space for the critical wave equation. Zbl 1315.35133
Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm
34
2015
Characterization of large energy solutions of the equivariant wave map problem. II. Zbl 1315.35131
Côte, R.; Kenig, C. E.; Lawrie, A.; Schlag, W.
30
2015
Channels of energy for the linear radial wave equation. Zbl 1331.35209
Kenig, Carlos; Lawrie, Andrew; Liu, Baoping; Schlag, Wilhelm
22
2015
Stable soliton resolution for exterior wave maps in all equivariance classes. Zbl 1331.35076
Kenig, Carlos; Lawrie, Andrew; Liu, Baoping; Schlag, Wilhelm
14
2015
Full range of blow up exponents for the quintic wave equation in three dimensions. Zbl 1320.35096
Krieger, Joachim; Schlag, Wilhelm
34
2014
Relaxation of wave maps exterior to a ball to harmonic maps for all data. Zbl 1288.35356
Kenig, Carlos E.; Lawrie, Andrew; Schlag, Wilhelm
25
2014
Exotic blowup solutions for the \(u^5\) focusing wave equation in \(\mathbb{R}^{3}\). Zbl 1310.35170
Donninger, Roland; Huang, Min; Krieger, Joachim; Schlag, Wilhelm
21
2014
Energy partition for the linear radial wave equation. Zbl 1311.35022
Côte, Raphaël; Kenig, Carlos E.; Schlag, Wilhelm
21
2014
Threshold phenomenon for the quintic wave equation in three dimensions. Zbl 1297.35139
Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm
20
2014
A course in complex analysis and Riemann surfaces. Zbl 1326.30003
Schlag, Wilhelm
9
2014
The method of concentration compactness and dispersive Hamiltonian evolution equations. Zbl 1319.35112
Schlag, W.
2
2014
Semilinear wave equations. Zbl 1373.35181
Schlag, Wilhelm
2
2014
Classical and multilinear harmonic analysis. Volume I. Zbl 1281.42002
Muscalu, Camil; Schlag, Wilhelm
110
2013
Classical and multilinear harmonic analysis. Volume II. Zbl 1282.42001
Muscalu, Camil; Schlag, Wilhelm
53
2013
Global dynamics away from the ground state for the energy-critical nonlinear wave equation. Zbl 1307.35170
Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm
37
2013
Global dynamics of the nonradial energy-critical wave equation above the ground state energy. Zbl 1272.35153
Krieger, Joachim; Nakanishi, Kenji; Schlag, Wilhelm
25
2013
Scattering for wave maps exterior to a ball. Zbl 1264.35045
Lawrie, A.; Schlag, W.
12
2013
Regularity and convergence rates for the Lyapunov exponents of linear cocycles. Zbl 1321.37023
Schlag, Wilhelm
10
2013
Concentration compactness for critical wave maps. Zbl 1387.35006
Krieger, Joachim; Schlag, Wilhelm
60
2012
On pointwise decay of linear waves on a Schwarzschild black hole background. Zbl 1242.83054
Donninger, Roland; Schlag, Wilhelm; Soffer, Avy
54
2012
Global dynamics above the ground state energy for the cubic NLS equation in 3D. Zbl 1237.35148
Nakanishi, K.; Schlag, W.
49
2012
Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption. Zbl 1256.35138
Nakanishi, K.; Schlag, W.
25
2012
Global dynamics above the ground state energy for the one-dimensional NLKG equation. Zbl 1263.35002
Krieger, J.; Nakanishi, K.; Schlag, W.
20
2012
On the spectral properties of \(L_{\pm }\) in three dimensions. Zbl 1232.35106
Costin, Ovidiu; Huang, Min; Schlag, Wilhelm
18
2012
Invariant manifolds around soliton manifolds for the nonlinear Klein-Gordon equation. Zbl 1261.35037
Nakanishi, K.; Schlag, W.
10
2012
Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials. Zbl 1258.81038
Costin, Ovidiu; Donninger, Roland; Schlag, Wilhelm; Tanveer, Saleh
5
2012
Invariant manifolds and dispersive Hamiltonian evolution equations. Zbl 1235.37002
Nakanishi, Kenji; Schlag, Wilhelm
74
2011
A proof of Price’s Law on Schwarzschild black hole manifolds for all angular momenta. Zbl 1205.83041
Donninger, Roland; Schlag, Wilhelm; Soffer, Avy
45
2011
Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation. Zbl 1213.35307
Nakanishi, K.; Schlag, W.
32
2011
On resonances and the formation of gaps in the spectrum of quasi-periodic Schrödinger equations. Zbl 1268.82013
Goldstein, Michael; Schlag, Wilhelm
28
2011
Numerical study of the blowup/global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation. Zbl 1244.35018
Donninger, R.; Schlag, W.
10
2011
Decay for the wave and Schrödinger evolutions on manifolds with conical ends. I. Zbl 1185.35046
Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang
24
2010
Decay for the wave and Schrödinger evolutions on manifolds with conical ends. II. Zbl 1187.35032
Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang
16
2010
Two Erdős problems on lacunary sequences: chromatic number and Diophantine approximation. Zbl 1215.05074
Peres, Yuval; Schlag, Wilhelm
16
2010
Decay estimates for the one-dimensional wave equation with an inverse power potential. Zbl 1241.35018
Donninger, Roland; Schlag, Wilhelm
10
2010
Slow blow-up solutions for the \(H^1(\mathbb R^3)\) critical focusing semilinear wave equation. Zbl 1170.35066
Krieger, Joachim; Schlag, Wilhelm; Tataru, Daniel
87
2009
Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions. Zbl 1181.35208
Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm
44
2009
Stable manifolds for an orbitally unstable nonlinear Schrödinger equation. Zbl 1180.35490
Schlag, Wilhelm
44
2009
Non-generic blow-up solutions for the critical focusing NLS in 1-D. Zbl 1163.35035
Krieger, J.; Schlag, Wilhelm
31
2009
Renormalization and blow up for the critical Yang-Mills problem. Zbl 1183.35203
Krieger, J.; Schlag, W.; Tataru, D.
27
2009
On the Hardy-Littlewood majorant problem for random sets. Zbl 1158.42002
Mockenhaupt, G.; Schlag, W.
8
2009
Renormalization and blow up for charge one equivariant critical wave maps. Zbl 1139.35021
Krieger, J.; Schlag, W.; Tataru, D.
109
2008
Fine properties of the integrated density of states and a quantitative separation property of the Dirichlet eigenvalues. Zbl 1171.82011
Goldstein, Michael; Schlag, Wilhelm
52
2008
Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in \(\mathbb R^3\). Zbl 1152.35021
Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm
40
2008
Semiclassical analysis of low and zero energy scattering for one-dimensional Schrödinger operators with inverse square potentials. Zbl 1160.35056
Costin, Ovidiu; Schlag, Wilhelm; Staubach, Wolfgang; Tanveer, Saleh
7
2008
Dispersive estimates for Schrödinger operators: a survey. Zbl 1143.35001
Schlag, W.
87
2007
On the focusing critical semi-linear wave equation. Zbl 1219.35144
Krieger, J.; Schlag, W.
46
2007
Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Zbl 1110.00015
5
2007
A remark on Littlewood-Paley theory for the distorted Fourier transform. Zbl 1159.42008
Schlag, W.
5
2007
On the formation of gaps in the spectrum of Schrödinger operators with quasi-periodic potentials. Zbl 1208.82027
Goldstein, Michael; Schlag, Wilhelm
1
2007
Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension. Zbl 1281.35077
Krieger, J.; Schlag, W.
60
2006
Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. II. Zbl 1146.35324
Erdoğan, M. Burak; Schlag, Wilhelm
34
2006
Agmon-Kato-Kuroda theorems for a large class of perturbations. Zbl 1092.35073
Ionescu, Alexandru D.; Schlag, Wilhelm
34
2006
Numerical verification of a gap condition for a linearized nonlinear Schrödinger equation. Zbl 1106.35044
Demanet, Laurent; Schlag, Wilhelm
24
2006
Spectral theory and nonlinear partial differential equations: a survey. Zbl 1121.35121
Schlag, Wilhelm
21
2006
Dispersive analysis of charge transfer models. Zbl 1130.81053
Rodnianski, Igor; Schlag, Wilhelm; Soffer, Avraham
57
2005
Dispersive estimates for Schrödinger operators in dimension two. Zbl 1134.35321
Schlag, W.
52
2005
On Schrödinger operators with dynamically defined potentials. Zbl 1143.47301
Goldstein, Michael; Schlag, Wilhelm
3
2005
On discrete Schrödinger operators with stochastic potentials. Zbl 1119.39302
Schlag, W.
2
2005
Time decay for solutions of Schrödinger equations with rough and time-dependent potentials. Zbl 1063.35035
Rodnianski, Igor; Schlag, Wilhelm
151
2004
Dispersive estimates for Schrödinger operators in dimensions one and three. Zbl 1086.81077
Goldberg, M.; Schlag, W.
88
2004
A limiting absorption principle for the three-dimensional Schrödinger equation with \(L^p\) potentials. Zbl 1069.35063
Goldberg, M.; Schlag, W.
41
2004
Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. I. Zbl 1080.35102
Erdoğan, M. Burak; Schlag, Wilhelm
34
2004
Classical and quantum scattering for a class of long range random potentials. Zbl 1019.81059
Rodnianski, Igor; Schlag, Wilhelm
12
2003
On continuum incidence problems related to harmonic analysis. Zbl 1043.42010
Schlag, W.
9
2003
Energy growth in Schrödinger’s equation with Markovian forcing. Zbl 1033.81023
Erdoğan, M. Burak; Killip, Rowan; Schlag, Wilhelm
3
2003
Anderson localization for Schrödinger operators on \(\mathbb{Z}^2\)with quasi-periodic potential. Zbl 1022.47023
Bourgain, Jean; Goldstein, Michael; Schlag, Wilhelm
52
2002
Frequency concentration and location lengths for the Anderson model at small disorders. Zbl 1032.60060
Schlag, W.; Shubin, C.; Wolff, Thomas H.
6
2002
Bernoulli convolutions and an intermediate value theorem for entropies of \(k\)-partitions. Zbl 1024.37004
Lindenstrauss, Elon; Peres, Yuval; Schlag, Wilhelm
4
2002
Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions. Zbl 0990.39014
Goldstein, Michael; Schlag, Wilhelm
111
2001
Anderson localization for Schrödinger operators on \(\mathbb Z\) with potentials given by the skew-shift. Zbl 0994.82044
Bourgain, Jean; Goldstein, Michael; Schlag, Wilhelm
50
2001
On the integrated density of states for Schrödinger operators on \(\mathbb Z^2\) with quasi periodic potential. Zbl 1031.82023
Schlag, Wilhelm
7
2001
Sixty years of Bernoulli convolutions. Zbl 0961.42006
Peres, Yuval; Schlag, Wilhelm; Solomyak, Boris
155
2000
Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions. Zbl 0961.42007
Peres, Yuval; Schlag, Wilhelm
103
2000
Anderson localization for Schrödinger operators on \(\mathbb{Z}\) with strongly mixing potentials. Zbl 1040.81014
Bourgain, Jean; Schlag, Wilhelm
30
2000
\(L^p\to L^q\) estimates for the circular maximal function. Zbl 0981.42012
Schlag, Wilhelm
2
2000
On uniformly distributed dilates of finite integer sequences. Zbl 0946.11016
Konyagin, S. V.; Ruzsa, I. Z.; Schlag, W.
1
2000
On minima of the absolute value of certain random exponential sums. Zbl 0964.60012
Schlag, W.
1
2000
Lower bounds for the absolute value of random polynomials on a neighborhood of the unit circle. Zbl 0949.42006
Konyagin, S. V.; Schlag, W.
12
1999
A geometric proof of the circular maximal theorem. Zbl 0942.42010
Schlag, W.
10
1998
A geometric inequality with applications to the Kakeya problem in three dimensions. Zbl 0939.42012
Schlag, W.
5
1998
...and 3 more Documents
all top 5

Cited by 1,461 Authors

47 Schlag, Wilhelm
32 Merle, Frank
30 Krieger, Joachim
28 Donninger, Roland
26 Damanik, David
25 Kenig, Carlos Eduardo
25 Martel, Yvan
23 Raphael, Pierre
20 Goldberg, Michael Joseph
20 Green, William R.
20 Lawrie, Andrew G. W.
20 Tataru, Daniel
19 Soffer, Avraham
18 Duyckaerts, Thomas
18 Erdoğan, Mehmet Burak
18 Kopylova, Elena A.
16 Cuccagna, Scipio
15 Côte, Raphaël
15 Shmerkin, Pablo S.
14 Lee, Sanghyuk
14 Solomyak, Boris
13 Orponen, Tuomas
13 Yao, Xiaohua
12 Beceanu, Marius
12 Bourgain, Jean
12 Jendrej, Jacek
12 Jitomirskaya, Svetlana Yakovlevna
12 Komech, Alexander Ilich
12 Mizutani, Haruya
12 Nakanishi, Kenji
12 You, Jiangong
12 Zheng, Jiqiang
11 D’Ancona, Piero
11 Glogić, Irfan
11 Oh, Sung-Jin
11 Rodnianski, Igor
10 Schörkhuber, Birgit
10 Szeftel, Jérémie
10 Tao, Kai
10 Zhang, Junyong
9 Aretakis, Stefanos
9 Chen, Gong
9 Costin, Ovidiu
9 Fanelli, Luca
9 Feng, De-Jun
9 Gajic, Dejan
9 Iosevich, Alex
9 Klein, Silvius
9 Lührmann, Jonas
9 Maeda, Masaya
9 Marzuola, Jeremy Louis
9 Wei, Juncheng
8 Angelopoulos, Yannis
8 Collot, Charles
8 Duarte, Pedro
8 Ibrahim, Slim
8 Kowalczyk, Michał
8 Muñoz, Claudio
8 Musso, Monica
8 Shi, Yunfeng
8 Sigal, Israel Michael
8 Stefanov, Atanas G.
8 Vougalter, Vitali
8 Xu, Guixiang
7 Avila, Artur
7 Bjerklöv, Kristian
7 Cuenin, Jean-Claude
7 Fillman, Jake
7 Fu, Yan-Song
7 Ge, Lingrui
7 Liu, Wencai
7 Tohaneanu, Mihai
7 Wu, Xinfeng
7 Zhou, Qi
6 Dyatlov, Semyon
6 Gorodetskii, Anton Semenovich
6 Huang, Min
6 Järvenpää, Maarit
6 Krüger, Helge
6 Liu, Bochen
6 Mattila, Pertti
6 Miao, Changxing
6 Pusateri, Fabio
6 Seeger, Andreas
6 Simon, Károly
6 Tang, Xingdong
6 Tao, Terence
6 Varjú, Péter Pál
6 Vega, Luis
6 Visciglia, Nicola
6 Voda, Mircea
6 Yajima, Kenji
6 Zhao, Xin
5 Bárány, Balázs
5 Bouclet, Jean-Marc
5 Burq, Nicolas
5 Carles, Rémi
5 Del Pino, Manuel A.
5 Falconer, Kenneth J.
5 Frank, Rupert L.
...and 1,361 more Authors
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Cited in 263 Serials

123 Communications in Mathematical Physics
86 Journal of Functional Analysis
56 Journal of Differential Equations
54 Advances in Mathematics
49 Transactions of the American Mathematical Society
44 Journal of Mathematical Physics
39 Journal of Mathematical Analysis and Applications
35 Proceedings of the American Mathematical Society
32 Annales Henri Poincaré
30 Communications in Partial Differential Equations
28 Discrete and Continuous Dynamical Systems
27 Duke Mathematical Journal
27 Analysis & PDE
25 Inventiones Mathematicae
25 Mathematische Annalen
20 Archive for Rational Mechanics and Analysis
19 Journal d’Analyse Mathématique
19 Mathematische Zeitschrift
19 SIAM Journal on Mathematical Analysis
19 Journal of Spectral Theory
18 Annals of PDE
17 Nonlinearity
17 Ergodic Theory and Dynamical Systems
17 Journal of the European Mathematical Society (JEMS)
16 Memoirs of the American Mathematical Society
16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
15 The Journal of Geometric Analysis
15 Séminaire Laurent Schwartz. EDP et Applications
13 Journal of Statistical Physics
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13 The Journal of Fourier Analysis and Applications
13 Annals of Mathematics. Second Series
13 Communications on Pure and Applied Analysis
12 Revista Matemática Iberoamericana
12 Geometric and Functional Analysis. GAFA
12 Journal of Evolution Equations
11 Journal of the American Mathematical Society
11 Journal of Fractal Geometry
10 Communications on Pure and Applied Mathematics
10 Physica D
9 Israel Journal of Mathematics
9 Mathematical Proceedings of the Cambridge Philosophical Society
9 Monatshefte für Mathematik
9 Bulletin of the American Mathematical Society. New Series
9 Mathematical Physics, Analysis and Geometry
9 Acta Mathematica Sinica. English Series
8 Journal of Dynamics and Differential Equations
8 Calculus of Variations and Partial Differential Equations
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Journal of Hyperbolic Differential Equations
7 American Journal of Mathematics
7 Pure and Applied Analysis
6 Illinois Journal of Mathematics
6 Journal of the London Mathematical Society. Second Series
6 Journal of the Mathematical Society of Japan
6 Mathematische Nachrichten
6 Forum Mathematicum
6 Oberwolfach Reports
5 Letters in Mathematical Physics
5 Mathematical Methods in the Applied Sciences
5 Mathematics of Computation
5 Reviews in Mathematical Physics
5 Chaos, Solitons and Fractals
5 Acta Mathematica
5 Potential Analysis
5 Communications in Contemporary Mathematics
5 Frontiers of Mathematics in China
4 Applicable Analysis
4 Annales de l’Institut Fourier
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Applied Mathematics and Computation
4 Archiv der Mathematik
4 Bulletin of the London Mathematical Society
4 Bulletin de la Société Mathématique de France
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 St. Petersburg Mathematical Journal
4 Analysis in Theory and Applications
4 Journal of Physics A: Mathematical and Theoretical
4 Bulletin of Mathematical Sciences
3 Russian Mathematical Surveys
3 The Annals of Probability
3 Indiana University Mathematics Journal
3 Journal of Number Theory
3 Mathematika
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Results in Mathematics
3 Chinese Annals of Mathematics. Series B
3 Constructive Approximation
3 Journal of Scientific Computing
3 Journal of Mathematical Sciences (New York)
3 Bulletin des Sciences Mathématiques
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Forum of Mathematics, Sigma
3 Proceedings of the American Mathematical Society. Series B
3 Tunisian Journal of Mathematics
2 General Relativity and Gravitation
2 Linear and Multilinear Algebra
2 Mathematical Biosciences
2 Periodica Mathematica Hungarica
2 Rocky Mountain Journal of Mathematics
...and 163 more Serials
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Cited in 58 Fields

926 Partial differential equations (35-XX)
254 Dynamical systems and ergodic theory (37-XX)
254 Harmonic analysis on Euclidean spaces (42-XX)
234 Quantum theory (81-XX)
232 Operator theory (47-XX)
190 Measure and integration (28-XX)
94 Probability theory and stochastic processes (60-XX)
78 Statistical mechanics, structure of matter (82-XX)
77 Global analysis, analysis on manifolds (58-XX)
71 Number theory (11-XX)
70 Relativity and gravitational theory (83-XX)
67 Ordinary differential equations (34-XX)
55 Functional analysis (46-XX)
40 Difference and functional equations (39-XX)
36 Differential geometry (53-XX)
35 Fluid mechanics (76-XX)
31 Numerical analysis (65-XX)
28 Functions of a complex variable (30-XX)
27 Real functions (26-XX)
20 Combinatorics (05-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
16 Topological groups, Lie groups (22-XX)
16 Optics, electromagnetic theory (78-XX)
15 Abstract harmonic analysis (43-XX)
15 Convex and discrete geometry (52-XX)
13 Mechanics of particles and systems (70-XX)
13 Systems theory; control (93-XX)
12 Integral transforms, operational calculus (44-XX)
10 Computer science (68-XX)
10 Biology and other natural sciences (92-XX)
9 General and overarching topics; collections (00-XX)
9 Mechanics of deformable solids (74-XX)
8 Potential theory (31-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Special functions (33-XX)
7 Algebraic geometry (14-XX)
7 Approximations and expansions (41-XX)
7 Statistics (62-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
4 History and biography (01-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Information and communication theory, circuits (94-XX)
3 Astronomy and astrophysics (85-XX)
2 Field theory and polynomials (12-XX)
2 Nonassociative rings and algebras (17-XX)
2 Group theory and generalizations (20-XX)
2 Integral equations (45-XX)
2 Geometry (51-XX)
2 Manifolds and cell complexes (57-XX)
2 Geophysics (86-XX)
2 Operations research, mathematical programming (90-XX)
1 Mathematical logic and foundations (03-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Sequences, series, summability (40-XX)
1 General topology (54-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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