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Tataru, Daniel

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Author ID: tataru.daniel Recent zbMATH articles by "Tataru, Daniel"
Published as: Tataru, D.; Tataru, Daniel; Tătaru, Daniel
External Links: MGP · Wikidata · GND
Documents Indexed: 140 Publications since 1988, including 2 Books
Reviewing Activity: 23 Reviews
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Serials

9 American Journal of Mathematics
9 Communications in Partial Differential Equations
7 Communications in Mathematical Physics
7 Duke Mathematical Journal
6 IMRN. International Mathematics Research Notices
5 Advances in Mathematics
5 Differential and Integral Equations
5 Mathematical Research Letters
5 Oberwolfach Reports
4 Inventiones Mathematicae
3 Nonlinearity
3 Applied Mathematics and Optimization
3 Proceedings of the American Mathematical Society
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Annals of Mathematics. Second Series
2 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Analysis and Applications
2 Journal of Differential Equations
2 Journal für die Reine und Angewandte Mathematik
2 Journal of the American Mathematical Society
2 Bulletin of the American Mathematical Society. New Series
2 Analysis & PDE
2 Kyoto Journal of Mathematics
2 Annals of PDE
1 Archive for Rational Mechanics and Analysis
1 Revue Roumaine de Mathématiques Pures et Appliquées
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin de la Société Mathématique de France
1 Journal of Functional Analysis
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Studii şi Cercetări Matematice
1 Transactions of the American Mathematical Society
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Gazeta Matematica. Perfectionare Metodica si Metodologica in Matematica si Informatica
1 Revista Matemática Iberoamericana
1 Séminaire Équations aux Dérivées Partielles
1 Electronic Journal of Differential Equations (EJDE)
1 NoDEA. Nonlinear Differential Equations and Applications
1 Journal of the European Mathematical Society (JEMS)
1 Annales Henri Poincaré
1 Oberwolfach Seminars
1 Science China. Mathematics
1 Libertas Mathematica. New Series
1 Nonlinear Analysis. Theory, Methods & Applications
1 Pure and Applied Analysis

Publications by Year

Citations contained in zbMATH Open

114 Publications have been cited 3,336 times in 2,141 Documents Cited by Year
Well-posedness for the Navier-Stokes equations. Zbl 0972.35084
Koch, Herbert; Tataru, Daniel
322
2001
Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping. Zbl 0803.35088
Lasiecka, I.; Tataru, D.
249
1993
Unique continuation for solutions to PDE’s; between Hörmander’s theorem and Holmgren’s theorem. Zbl 0846.35021
Tataru, Daniel
107
1995
Renormalization and blow up for charge one equivariant critical wave maps. Zbl 1139.35021
Krieger, J.; Schlag, W.; Tataru, D.
82
2008
Dispersive estimates for principally normal pseudodifferential operators. Zbl 1078.35143
Koch, Herbert; Tataru, Daniel
75
2005
Global well-posedness of the KP-I initial-value problem in the energy space. Zbl 1188.35163
Ionescu, A. D.; Kenig, C. E.; Tataru, D.
70
2008
A local energy estimate on Kerr black hole backgrounds. Zbl 1209.83028
Tataru, Daniel; Tohaneanu, Mihai
67
2011
Strichartz estimates for a Schrödinger operator with nonsmooth coefficients. Zbl 1010.35015
Staffilani, Gigliola; Tataru, Daniel
67
2002
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
65
2009
On the regularity of boundary traces for the wave equation. Zbl 0932.35136
Tataru, Daniel
62
1998
A priori bounds for the 1D cubic NLS in negative Sobolev spaces. Zbl 1169.35055
Koch, Herbert; Tataru, Daniel
60
2007
Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation. Zbl 0956.35088
Tataru, Daniel
59
2001
Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients. Zbl 1033.35025
Koch, Herbert; Tataru, Daniel
58
2001
Viscosity solutions of Hamilton-Jacobi equations with unbounded nonlinear terms. Zbl 0757.35034
Tataru, Daniel
58
1992
Local and global results for wave maps. I. Zbl 0914.35083
Tataru, Daniel
57
1998
Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in \(H^1(\mathbb T^3)\). Zbl 1230.35130
Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay
56
2011
Local decay of waves on asymptotically flat stationary space-times. Zbl 1266.83033
Tataru, Daniel
55
2013
On global existence and scattering for the wave maps equation. Zbl 0979.35100
Tataru, Daniel
54
2001
Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces. Zbl 1233.35112
Bejenaru, I.; Ionescu, A. D.; Kenig, C. E.; Tataru, D.
52
2011
Regularity of wave-maps in dimension \(2+1\). Zbl 1218.35057
Sterbenz, Jacob; Tataru, Daniel
51
2010
Uniqueness in Calderón’s problem with Lipschitz conductivities. Zbl 1260.35251
Haberman, Boaz; Tataru, Daniel
50
2013
Two dimensional water waves in holomorphic coordinates. Zbl 1358.35121
Hunter, John K.; Ifrim, Mihaela; Tataru, Daniel
49
2016
Global existence, uniqueness and regularity of solutions to a von Kármán system with nonlinear boundary dissipation. Zbl 0847.35070
Favini, Angelo; Horn, Mary Ann; Lasiecka, Irena; Tataru, Daniel
48
1996
On the 2D Zakharov system with \(L^{2}\) Schrödinger data. Zbl 1173.35651
Bejenaru, I.; Herr, S.; Holmer, J.; Tataru, D.
47
2009
Energy dispersed large data wave maps in \(2+1\) dimensions. Zbl 1218.35129
Sterbenz, Jacob; Tataru, Daniel
44
2010
Rough solutions for the wave maps equations. Zbl 1330.58021
Tataru, Daniel
44
2005
Uniqueness and stability in the Cauchy problem for Maxwell and elasticity systems. Zbl 1038.35159
Eller, M.; Isakov, V.; Nakamura, G.; Tataru, D.
43
2002
On the optimal local regularity for the Yang-Mills equations in \(\mathbb{R}^{4+1}\). Zbl 0924.58010
Klainerman, Sergiu; Tataru, Daniel
43
1999
Strichartz estimates on Schwarzschild black hole backgrounds. Zbl 1202.35327
Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai
42
2010
Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. III. Zbl 0990.35027
Tataru, Daniel
41
2002
Two dimensional water waves in holomorphic coordinates. II: Global solutions. Zbl 1360.35179
Ifrim, Mihaela; Tataru, Daniel
40
2016
Price’s law on nonstationary space-times. Zbl 1246.83070
Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai
40
2012
\(L^p\) eigenfunction bounds for the Hermite operator. Zbl 1075.35020
Koch, Herbert; Tataru, Daniel
38
2005
Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations. Zbl 1180.35187
Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel
37
2008
Carleman estimates and absence of embedded eigenvalues. Zbl 1151.35025
Koch, Herbert; Tataru, Daniel
37
2006
Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. II. Zbl 0988.35037
Tataru, Daniel
36
2001
Carleman estimates and unique continuation for solutions to boundary value problems. Zbl 0896.35023
Tataru, D.
36
1996
Unique continuation for operators with partially analytic coefficients. Zbl 0936.35038
Tataru, Daniel
34
1999
Sharp local well-posedness results for the nonlinear wave equation. Zbl 1098.35113
Smith, Hart F.; Tataru, Daniel
33
2005
The lifespan of small data solutions in two dimensional capillary water waves. Zbl 1375.35347
Ifrim, Mihaela; Tataru, Daniel
30
2017
Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation. Zbl 0959.35125
Tataru, Daniel
29
2000
Local wellposedness of Chern-Simons-Schrödinger. Zbl 1304.35649
Liu, Baoping; Smith, Paul; Tataru, Daniel
28
2014
The wave maps equation. Zbl 1065.35199
Tataru, Daniel
28
2004
Phase space transforms and microlocal analysis. Zbl 1111.35143
Tataru, Daniel
26
2004
Global parametrices and dispersive estimates for variable coefficient wave equations. Zbl 1259.35006
Metcalfe, Jason; Tataru, Daniel
25
2012
Semiclassical \(L^p\) estimates. Zbl 1133.58025
Koch, Herbert; Tataru, Daniel; Zworski, Maciej
25
2007
Carleman estimates and unique continuation for second order parabolic equations with nonsmooth coefficients. Zbl 1178.35107
Koch, Herbert; Tataru, Daniel
24
2009
Dispersive equations and nonlinear waves. Generalized Korteweg-de Vries, nonlinear Schrödinger, wave and Schrödinger maps. Zbl 1304.35003
Koch, Herbert; Tataru, Daniel; Vişan, Monica
23
2014
Parametrices and dispersive estimates for Schrödinger operators with variable coefficients. Zbl 1159.35315
Tataru, Daniel
23
2008
Boundary controllability for conservative PDEs. Zbl 0836.35085
Tataru, D.
23
1995
Strichartz estimates for partially periodic solutions to Schrödinger equations in \(4d\) and applications. Zbl 1293.35299
Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay
22
2014
Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system. Zbl 0958.93012
Albano, Paolo; Tataru, Daniel
22
2000
Long time solutions for a Burgers-Hilbert equation via a modified energy method. Zbl 1320.35071
Hunter, John K.; Ifrim, Mihaela; Tataru, Daniel; Wong, Tak Kwong
21
2015
A priori estimates of Carleman’s type in domains with boundary. Zbl 0835.35031
Tataru, D.
19
1994
Renormalization and blow up for the critical Yang-Mills problem. Zbl 1183.35203
Krieger, J.; Schlag, W.; Tataru, D.
18
2009
A convolution estimate for two-dimensional hypersurfaces. Zbl 1203.42033
Bejenaru, Ioan; Herr, Sebastian; Tataru, Daniel
17
2010
Unique continuation problems for partial differential equations. Zbl 1071.35027
Tataru, Daniel
17
2003
On the Fefferman-Phong inequality and related problems. Zbl 1045.35115
Tataru, Daniel
17
2002
The \(X\theta^ s\) spaces and unique continuation for solutions to the semilinear wave equation. Zbl 0853.35017
Tataru, Daniel
17
1996
Energy and local energy bounds for the 1-d cubic NLS equation in \(H^{-\frac{1}{4}}\). Zbl 1280.35137
Koch, Herbert; Tataru, Daniel
16
2012
Global bounds for the cubic nonlinear Schrödinger equation (NLS) in one space dimension. Zbl 1330.35402
Ifrim, Mihaela; Tataru, Daniel
15
2015
Sharp counterexamples in unique continuation for second order elliptic equations. Zbl 1222.35050
Koch, Herbert; Tataru, Daniel
15
2002
Carleman estimates, unique continuation and controllability for anisotropic PDE’s. Zbl 0906.35017
Tataru, Daniel
15
1997
Decay estimates for variable coefficient wave equations in exterior domains. Zbl 1201.35047
Metcalfe, Jason; Tataru, Daniel
14
2009
Global well-posedness and scattering of the (4+1)-dimensional Maxwell-Klein-Gordon equation. Zbl 1364.35198
Oh, Sung-Jin; Tataru, Daniel
13
2016
Local energy decay for Maxwell fields. I: Spherically symmetric black-hole backgrounds. Zbl 1318.83006
Sterbenz, Jacob; Tataru, Daniel
13
2015
Equivariant Schrödinger maps in two spatial dimensions. Zbl 1326.35087
Bejenaru, I.; Ionescu, A.; Kenig, C.; Tataru, D.
12
2013
Conserved energies for the cubic nonlinear Schrödinger equation in one dimension. Zbl 1434.35181
Koch, Herbert; Tataru, Daniel
11
2018
Low regularity a priori bounds for the modified Korteweg-de Vries equation. Zbl 1284.35367
Christ, Michael; Holmer, Justin; Tataru, Daniel
11
2012
Large data local solutions for the derivative NLS equation. Zbl 1250.35160
Bejenaru, Ioan; Tataru, Daniel
11
2008
On the equation \(\square u=|\nabla u|^2\) in \(5+1\) dimensions. Zbl 0949.35093
Tataru, Daniel
11
1999
Viscosity solutions for Hamilton-Jacobi equations with unbounded nonlinear term: A simplified approach. Zbl 0810.34060
Tataru, Daniel
11
1994
Finite depth gravity water waves in holomorphic coordinates. Zbl 1403.35237
Harrop-Griffiths, Benjamin; Ifrim, Mihaela; Tataru, Daniel
10
2017
Null controllability for the dissipative semilinear heat equation. Zbl 1031.93018
Aniţa, Sebastian; Tataru, Daniel
10
2002
Well-posedness and dispersive decay of small data solutions for the Benjamin-Ono equation. Zbl 1423.35350
Ifrim, Mihaela; Tataru, Daniel
9
2019
Global well-posedness for the Maxwell-Klein-Gordon equation in \(4+1\) dimensions: small energy. Zbl 1329.35209
Krieger, Joachim; Sterbenz, Jacob; Tataru, Daniel
9
2015
Near soliton evolution for equivariant Schrödinger maps in two spatial dimensions. Zbl 1303.58009
Bejenaru, Ioan; Tataru, Daniel
9
2014
Strong uniqueness for second order elliptic operators with Gevrey coefficients. Zbl 1174.35335
Colombini, Ferruccio; Grammatico, Cataldo; Tataru, Daniel
9
2006
On the Cauchy problem for the full von Kármán system. Zbl 0882.35122
Tataru, Daniel; Tucsnak, Marius
9
1997
Uniform boundary stabilization of semilinear wave equation with nonlinear boundary damping. Zbl 0819.35098
Lasiecka, I.; Tataru, D.
9
1993
Two-dimensional gravity water waves with constant vorticity. I: Cubic lifespan. With appendices by Mihaela Ifrim and Daniel Tataru. Zbl 1403.35238
Ifrim, Mihaela; Tataru, Daniel
8
2019
Pointwise decay for the Maxwell field on black hole space-times. Zbl 1381.35182
Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai
8
2017
Global well-posedness for the Yang-Mills equation in \(4+1\) dimensions. Small energy. Zbl 1377.58007
Krieger, Joachim; Tataru, Daniel
8
2017
Wave packet parametrices for evolutions governed by PDO’s with rough symbols. Zbl 1137.35091
Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel
8
2008
Viscosity solutions for the dynamic programming equations. Zbl 0760.49017
Tataru, Daniel
8
1992
Quasilinear Schrödinger equations. I: Small data and quadratic interactions. Zbl 1248.35196
Marzuola, Jeremy L.; Metcalfe, Jason; Tataru, Daniel
7
2012
Global wellposedness in the energy space for the Maxwell-Schrödinger system. Zbl 1171.81006
Bejenaru, Ioan; Tataru, Daniel
7
2009
Sharp counterexamples for Strichartz estimates for low regularity metrics. Zbl 1003.35075
Smith, Hart F.; Tataru, Daniel
7
2002
On the spectrum of hyperbolic semigroups. Zbl 0823.35108
Koch, Herbert; Tataru, Daniel
7
1995
Local well-posedness of the \((4 + 1)\)-dimensional Maxwell-Klein-Gordon equation at energy regularity. Zbl 1402.35273
Oh, Sung-Jin; Tataru, Daniel
6
2016
Quasilinear Schrödinger equations. II: Small data and cubic nonlinearities. Zbl 1309.35140
Marzuola, Jeremy L.; Metcalfe, Jason; Tataru, Daniel
5
2014
A phase space transform adapted to the wave equation. Zbl 1221.35457
Geba, Dan-Andrei; Tataru, Daniel
5
2007
Recent results on unique continuation for second order elliptic equations. Zbl 1194.35119
Koch, Herbert; Tataru, Daniel
5
2001
Carleman estimates and unique continuation for the Schrödinger equation. Zbl 0828.35021
Tataru, Daniel
5
1995
Energy dispersed solutions for the \((4 + 1)\)-dimensional Maxwell-Klein-Gordon equation. Zbl 1392.35309
Oh, Sung-Jin; Tataru, Daniel
4
2018
Equivariant Schrödinger maps in two spatial dimensions: the \(\mathbb{H}^2\) target. Zbl 1370.35235
Bejenaru, Ioan; Ionescu, Alexandru; Kenig, Carlos; Tataru, Daniel
4
2016
A nonlinear Plancherel theorem with applications to global well-posedness for the defocusing Davey-Stewartson equation and to the inverse boundary value problem of Calderón. Zbl 1436.35058
Nachman, Adrian; Regev, Idan; Tataru, Daniel
3
2020
A codimension-two stable manifold of near soliton equivariant wave maps. Zbl 1350.35108
Bejenaru, Ioan; Krieger, Joachim; Tataru, Daniel
3
2013
Uniform decay rates and attractors for evolution PDE’s with boundary dissipation. Zbl 0831.35022
Tataru, Daniel
3
1995
The NLS approximation for two dimensional deep gravity waves. Zbl 1415.76070
Ifrim, Mihaela; Tataru, Daniel
2
2019
A nonlinear Plancherel theorem with applications to global well-posedness for the defocusing Davey-Stewartson equation and to the inverse boundary value problem of Calderón. Zbl 1436.35058
Nachman, Adrian; Regev, Idan; Tataru, Daniel
3
2020
Local energy decay for scalar fields on time dependent non-trapping backgrounds. Zbl 1445.35069
Metcalfe, Jason; Sterbenz, Jacob; Tataru, Daniel
1
2020
Well-posedness and dispersive decay of small data solutions for the Benjamin-Ono equation. Zbl 1423.35350
Ifrim, Mihaela; Tataru, Daniel
9
2019
Two-dimensional gravity water waves with constant vorticity. I: Cubic lifespan. With appendices by Mihaela Ifrim and Daniel Tataru. Zbl 1403.35238
Ifrim, Mihaela; Tataru, Daniel
8
2019
The NLS approximation for two dimensional deep gravity waves. Zbl 1415.76070
Ifrim, Mihaela; Tataru, Daniel
2
2019
Conserved energies for the cubic nonlinear Schrödinger equation in one dimension. Zbl 1434.35181
Koch, Herbert; Tataru, Daniel
11
2018
Energy dispersed solutions for the \((4 + 1)\)-dimensional Maxwell-Klein-Gordon equation. Zbl 1392.35309
Oh, Sung-Jin; Tataru, Daniel
4
2018
The lifespan of small data solutions in two dimensional capillary water waves. Zbl 1375.35347
Ifrim, Mihaela; Tataru, Daniel
30
2017
Finite depth gravity water waves in holomorphic coordinates. Zbl 1403.35237
Harrop-Griffiths, Benjamin; Ifrim, Mihaela; Tataru, Daniel
10
2017
Pointwise decay for the Maxwell field on black hole space-times. Zbl 1381.35182
Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai
8
2017
Global well-posedness for the Yang-Mills equation in \(4+1\) dimensions. Small energy. Zbl 1377.58007
Krieger, Joachim; Tataru, Daniel
8
2017
Two dimensional water waves in holomorphic coordinates. Zbl 1358.35121
Hunter, John K.; Ifrim, Mihaela; Tataru, Daniel
49
2016
Two dimensional water waves in holomorphic coordinates. II: Global solutions. Zbl 1360.35179
Ifrim, Mihaela; Tataru, Daniel
40
2016
Global well-posedness and scattering of the (4+1)-dimensional Maxwell-Klein-Gordon equation. Zbl 1364.35198
Oh, Sung-Jin; Tataru, Daniel
13
2016
Local well-posedness of the \((4 + 1)\)-dimensional Maxwell-Klein-Gordon equation at energy regularity. Zbl 1402.35273
Oh, Sung-Jin; Tataru, Daniel
6
2016
Equivariant Schrödinger maps in two spatial dimensions: the \(\mathbb{H}^2\) target. Zbl 1370.35235
Bejenaru, Ioan; Ionescu, Alexandru; Kenig, Carlos; Tataru, Daniel
4
2016
Long time solutions for a Burgers-Hilbert equation via a modified energy method. Zbl 1320.35071
Hunter, John K.; Ifrim, Mihaela; Tataru, Daniel; Wong, Tak Kwong
21
2015
Global bounds for the cubic nonlinear Schrödinger equation (NLS) in one space dimension. Zbl 1330.35402
Ifrim, Mihaela; Tataru, Daniel
15
2015
Local energy decay for Maxwell fields. I: Spherically symmetric black-hole backgrounds. Zbl 1318.83006
Sterbenz, Jacob; Tataru, Daniel
13
2015
Global well-posedness for the Maxwell-Klein-Gordon equation in \(4+1\) dimensions: small energy. Zbl 1329.35209
Krieger, Joachim; Sterbenz, Jacob; Tataru, Daniel
9
2015
Decay of linear waves on black hole spacetimes. Zbl 1339.83014
Tataru, Daniel
2
2015
Local wellposedness of Chern-Simons-Schrödinger. Zbl 1304.35649
Liu, Baoping; Smith, Paul; Tataru, Daniel
28
2014
Dispersive equations and nonlinear waves. Generalized Korteweg-de Vries, nonlinear Schrödinger, wave and Schrödinger maps. Zbl 1304.35003
Koch, Herbert; Tataru, Daniel; Vişan, Monica
23
2014
Strichartz estimates for partially periodic solutions to Schrödinger equations in \(4d\) and applications. Zbl 1293.35299
Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay
22
2014
Near soliton evolution for equivariant Schrödinger maps in two spatial dimensions. Zbl 1303.58009
Bejenaru, Ioan; Tataru, Daniel
9
2014
Quasilinear Schrödinger equations. II: Small data and cubic nonlinearities. Zbl 1309.35140
Marzuola, Jeremy L.; Metcalfe, Jason; Tataru, Daniel
5
2014
Local decay of waves on asymptotically flat stationary space-times. Zbl 1266.83033
Tataru, Daniel
55
2013
Uniqueness in Calderón’s problem with Lipschitz conductivities. Zbl 1260.35251
Haberman, Boaz; Tataru, Daniel
50
2013
Equivariant Schrödinger maps in two spatial dimensions. Zbl 1326.35087
Bejenaru, I.; Ionescu, A.; Kenig, C.; Tataru, D.
12
2013
A codimension-two stable manifold of near soliton equivariant wave maps. Zbl 1350.35108
Bejenaru, Ioan; Krieger, Joachim; Tataru, Daniel
3
2013
Price’s law on nonstationary space-times. Zbl 1246.83070
Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai
40
2012
Global parametrices and dispersive estimates for variable coefficient wave equations. Zbl 1259.35006
Metcalfe, Jason; Tataru, Daniel
25
2012
Energy and local energy bounds for the 1-d cubic NLS equation in \(H^{-\frac{1}{4}}\). Zbl 1280.35137
Koch, Herbert; Tataru, Daniel
16
2012
Low regularity a priori bounds for the modified Korteweg-de Vries equation. Zbl 1284.35367
Christ, Michael; Holmer, Justin; Tataru, Daniel
11
2012
Quasilinear Schrödinger equations. I: Small data and quadratic interactions. Zbl 1248.35196
Marzuola, Jeremy L.; Metcalfe, Jason; Tataru, Daniel
7
2012
A local energy estimate on Kerr black hole backgrounds. Zbl 1209.83028
Tataru, Daniel; Tohaneanu, Mihai
67
2011
Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in \(H^1(\mathbb T^3)\). Zbl 1230.35130
Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay
56
2011
Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces. Zbl 1233.35112
Bejenaru, I.; Ionescu, A. D.; Kenig, C. E.; Tataru, D.
52
2011
Regularity of wave-maps in dimension \(2+1\). Zbl 1218.35057
Sterbenz, Jacob; Tataru, Daniel
51
2010
Energy dispersed large data wave maps in \(2+1\) dimensions. Zbl 1218.35129
Sterbenz, Jacob; Tataru, Daniel
44
2010
Strichartz estimates on Schwarzschild black hole backgrounds. Zbl 1202.35327
Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai
42
2010
A convolution estimate for two-dimensional hypersurfaces. Zbl 1203.42033
Bejenaru, Ioan; Herr, Sebastian; Tataru, Daniel
17
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
65
2009
On the 2D Zakharov system with \(L^{2}\) Schrödinger data. Zbl 1173.35651
Bejenaru, I.; Herr, S.; Holmer, J.; Tataru, D.
47
2009
Carleman estimates and unique continuation for second order parabolic equations with nonsmooth coefficients. Zbl 1178.35107
Koch, Herbert; Tataru, Daniel
24
2009
Renormalization and blow up for the critical Yang-Mills problem. Zbl 1183.35203
Krieger, J.; Schlag, W.; Tataru, D.
18
2009
Decay estimates for variable coefficient wave equations in exterior domains. Zbl 1201.35047
Metcalfe, Jason; Tataru, Daniel
14
2009
Global wellposedness in the energy space for the Maxwell-Schrödinger system. Zbl 1171.81006
Bejenaru, Ioan; Tataru, Daniel
7
2009
Renormalization and blow up for charge one equivariant critical wave maps. Zbl 1139.35021
Krieger, J.; Schlag, W.; Tataru, D.
82
2008
Global well-posedness of the KP-I initial-value problem in the energy space. Zbl 1188.35163
Ionescu, A. D.; Kenig, C. E.; Tataru, D.
70
2008
Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations. Zbl 1180.35187
Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel
37
2008
Parametrices and dispersive estimates for Schrödinger operators with variable coefficients. Zbl 1159.35315
Tataru, Daniel
23
2008
Large data local solutions for the derivative NLS equation. Zbl 1250.35160
Bejenaru, Ioan; Tataru, Daniel
11
2008
Wave packet parametrices for evolutions governed by PDO’s with rough symbols. Zbl 1137.35091
Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel
8
2008
Subcritical \(L^p\) bounds on spectral clusters for Lipschitz metrics. Zbl 1159.58017
Koch, Herbert; Smith, Hart F.; Tataru, Daniel
1
2008
A priori bounds for the 1D cubic NLS in negative Sobolev spaces. Zbl 1169.35055
Koch, Herbert; Tataru, Daniel
60
2007
Semiclassical \(L^p\) estimates. Zbl 1133.58025
Koch, Herbert; Tataru, Daniel; Zworski, Maciej
25
2007
A phase space transform adapted to the wave equation. Zbl 1221.35457
Geba, Dan-Andrei; Tataru, Daniel
5
2007
Sharp \(L^q\) bounds on spectral clusters for Hölder metrics. Zbl 1128.58014
Koch, Herbert; Smith, Hart F.; Tataru, Daniel
2
2007
Carleman estimates and absence of embedded eigenvalues. Zbl 1151.35025
Koch, Herbert; Tataru, Daniel
37
2006
Strong uniqueness for second order elliptic operators with Gevrey coefficients. Zbl 1174.35335
Colombini, Ferruccio; Grammatico, Cataldo; Tataru, Daniel
9
2006
Outgoing parametrices and global Strichartz estimates for Schrödinger equations with variable coefficients. Zbl 1120.81030
Tataru, Daniel
1
2006
Dispersive estimates for principally normal pseudodifferential operators. Zbl 1078.35143
Koch, Herbert; Tataru, Daniel
75
2005
Rough solutions for the wave maps equations. Zbl 1330.58021
Tataru, Daniel
44
2005
\(L^p\) eigenfunction bounds for the Hermite operator. Zbl 1075.35020
Koch, Herbert; Tataru, Daniel
38
2005
Sharp local well-posedness results for the nonlinear wave equation. Zbl 1098.35113
Smith, Hart F.; Tataru, Daniel
33
2005
Dispersive estimates for wave equations. Zbl 1078.35024
Tataru, Daniel; Geba, Dan-Andrei
2
2005
The wave maps equation. Zbl 1065.35199
Tataru, Daniel
28
2004
Phase space transforms and microlocal analysis. Zbl 1111.35143
Tataru, Daniel
26
2004
Unique continuation for second-order parabolic operators at the initial time. Zbl 1039.35046
Albano, Paolo; Tataru, Daniel
2
2004
Unique continuation problems for partial differential equations. Zbl 1071.35027
Tataru, Daniel
17
2003
Null form estimates for second order hyperbolic operators with rough coefficients. Zbl 1052.35134
Tataru, Daniel
1
2003
Strichartz estimates for a Schrödinger operator with nonsmooth coefficients. Zbl 1010.35015
Staffilani, Gigliola; Tataru, Daniel
67
2002
Uniqueness and stability in the Cauchy problem for Maxwell and elasticity systems. Zbl 1038.35159
Eller, M.; Isakov, V.; Nakamura, G.; Tataru, D.
43
2002
Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. III. Zbl 0990.35027
Tataru, Daniel
41
2002
On the Fefferman-Phong inequality and related problems. Zbl 1045.35115
Tataru, Daniel
17
2002
Sharp counterexamples in unique continuation for second order elliptic equations. Zbl 1222.35050
Koch, Herbert; Tataru, Daniel
15
2002
Null controllability for the dissipative semilinear heat equation. Zbl 1031.93018
Aniţa, Sebastian; Tataru, Daniel
10
2002
Sharp counterexamples for Strichartz estimates for low regularity metrics. Zbl 1003.35075
Smith, Hart F.; Tataru, Daniel
7
2002
Nonlinear wave equations. Zbl 1136.35417
Tataru, Daniel
1
2002
Well-posedness for the Navier-Stokes equations. Zbl 0972.35084
Koch, Herbert; Tataru, Daniel
322
2001
Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation. Zbl 0956.35088
Tataru, Daniel
59
2001
Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients. Zbl 1033.35025
Koch, Herbert; Tataru, Daniel
58
2001
On global existence and scattering for the wave maps equation. Zbl 0979.35100
Tataru, Daniel
54
2001
Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. II. Zbl 0988.35037
Tataru, Daniel
36
2001
Recent results on unique continuation for second order elliptic equations. Zbl 1194.35119
Koch, Herbert; Tataru, Daniel
5
2001
Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation. Zbl 0959.35125
Tataru, Daniel
29
2000
Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system. Zbl 0958.93012
Albano, Paolo; Tataru, Daniel
22
2000
On the optimal local regularity for the Yang-Mills equations in \(\mathbb{R}^{4+1}\). Zbl 0924.58010
Klainerman, Sergiu; Tataru, Daniel
43
1999
Unique continuation for operators with partially analytic coefficients. Zbl 0936.35038
Tataru, Daniel
34
1999
On the equation \(\square u=|\nabla u|^2\) in \(5+1\) dimensions. Zbl 0949.35093
Tataru, Daniel
11
1999
On the regularity of boundary traces for the wave equation. Zbl 0932.35136
Tataru, Daniel
62
1998
Local and global results for wave maps. I. Zbl 0914.35083
Tataru, Daniel
57
1998
The wave equation with Neumann controls: On Lions’s \(F\) space. Zbl 0905.93005
Tataru, Daniel
1
1998
Carleman estimates, unique continuation and controllability for anisotropic PDE’s. Zbl 0906.35017
Tataru, Daniel
15
1997
On the Cauchy problem for the full von Kármán system. Zbl 0882.35122
Tataru, Daniel; Tucsnak, Marius
9
1997
Global existence, uniqueness and regularity of solutions to a von Kármán system with nonlinear boundary dissipation. Zbl 0847.35070
Favini, Angelo; Horn, Mary Ann; Lasiecka, Irena; Tataru, Daniel
48
1996
Carleman estimates and unique continuation for solutions to boundary value problems. Zbl 0896.35023
Tataru, D.
36
1996
The \(X\theta^ s\) spaces and unique continuation for solutions to the semilinear wave equation. Zbl 0853.35017
Tataru, Daniel
17
1996
Unique continuation for solutions to PDE’s; between Hörmander’s theorem and Holmgren’s theorem. Zbl 0846.35021
Tataru, Daniel
107
1995
...and 14 more Documents
all top 5

Cited by 1,840 Authors

53 Lasiecka, Irena
53 Tataru, Daniel
32 Cavalcanti, Marcelo Moreira
26 Domingos Cavalcanti, Valéria Neves
25 Kenig, Carlos Eduardo
22 Krieger, Joachim
21 Lassas, Matti
20 Ionescu, Alexandru D.
19 Donninger, Roland
19 Uhlmann, Gunther Alberto
19 Wang, Chengbo
18 Guo, Zihua
18 Metcalfe, Jason L.
18 Schlag, Wilhelm
18 Tzvetkov, Nikolay
17 Merle, Frank
17 Rodnianski, Igor
17 Toundykov, Daniel
16 Bejenaru, Ioan
16 Gallagher, Isabelle
16 Herr, Sebastian
16 Koch, Herbert
16 Kukavica, Igor
15 Kurylev, Yaroslav V.
15 Messaoudi, Salim A.
15 Yamamoto, Masahiro
15 Zhou, Yi
14 D’Ancona, Piero
14 Kian, Yavar
14 Klainerman, Sergiu
14 Oh, Sung-Jin
14 Oksanen, Lauri
14 Raphael, Pierre
14 Zhang, Ting
13 Burq, Nicolas
13 Oh, Tadahiro
13 Planchon, Fabrice
13 Plebaniak, Robert
13 Triggiani, Roberto
12 Mustafa, Muhammad Islam
12 Saut, Jean-Claude
12 Sogge, Christopher D.
12 Włodarczyk, Kazimierz
12 Yan, Wei
11 Avalos, George
11 Belishev, Mikhail Igorevitch
11 Chemin, Jean-Yves
11 Cui, Shangbin
11 Guo, Boling
11 Liu, Qiao
11 Pilod, Didier
11 Šverák, Vladimír
11 Tao, Terence
11 Wang, Yuzhao
11 Zhao, Jihong
10 Alabau-Boussouira, Fatiha
10 Algharabli, Mohammad M.
10 Aretakis, Stefanos
10 Bellassoued, Mourad
10 Germain, Pierre
10 Molinet, Luc
10 Nicola, Fabio
10 Park, SunHye
10 Soffer, Avraham
10 Stefanov, Plamen D.
10 Wang, Baoxiang
10 Yao, Pengfei
10 Zhang, Ping
9 Angelopoulos, Yannis
9 Bociu, Lorena
9 Feng, Baowei
9 Kang, Jum-Ran
9 Lemarié-Rieusset, Pierre Gilles
9 Okamoto, Mamoru
9 Park, Jong Yeoul
9 Salo, Mikko
9 Wang, Youde
9 Wei, Juncheng
8 Chueshov, Igor’ Dmitrievich
8 Cordero, Elena
8 de Hoop, Maarten V.
8 Deng, Chao
8 Fang, Daoyuan
8 Gajic, Dejan
8 Galkowski, Jeffrey
8 Hassell, Andrew
8 Imanuvilov, Oleg Yu.
8 Li, Pengtao
8 Li, Yongsheng
8 Luk, Jonathan
8 Martel, Yvan
8 Mizutani, Haruya
8 Pausader, Benoît
8 Pusateri, Fabio
8 Rammaha, Mohammad A.
8 Röckner, Michael
8 Rüland, Angkana
8 Staffilani, Gigliola
8 Sterbenz, Jacob
8 Suzuki, Tomonari
...and 1,740 more Authors
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Cited in 273 Serials

131 Journal of Differential Equations
119 Journal of Mathematical Analysis and Applications
97 Communications in Mathematical Physics
86 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
80 Communications in Partial Differential Equations
79 Journal of Functional Analysis
47 Transactions of the American Mathematical Society
46 Discrete and Continuous Dynamical Systems
41 Archive for Rational Mechanics and Analysis
40 SIAM Journal on Mathematical Analysis
38 Advances in Mathematics
37 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
37 Journal de Mathématiques Pures et Appliquées. Neuvième Série
33 ZAMP. Zeitschrift für angewandte Mathematik und Physik
32 Annales Henri Poincaré
31 Communications on Pure and Applied Analysis
29 Journal of Mathematical Physics
29 Proceedings of the American Mathematical Society
28 Mathematische Annalen
27 Annals of PDE
23 Duke Mathematical Journal
23 Inventiones Mathematicae
21 Nonlinear Analysis. Real World Applications
21 Comptes Rendus. Mathématique. Académie des Sciences, Paris
21 Analysis & PDE
20 Mathematical Methods in the Applied Sciences
20 Journal of Hyperbolic Differential Equations
19 Applicable Analysis
19 Journal of Evolution Equations
18 Calculus of Variations and Partial Differential Equations
18 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
17 Applied Mathematics and Optimization
16 Nonlinearity
16 Communications in Contemporary Mathematics
15 Computers & Mathematics with Applications
15 Revista Matemática Iberoamericana
14 Applied Mathematics Letters
14 Journal of Mathematical Sciences (New York)
14 Journal of Mathematical Fluid Mechanics
14 Fixed Point Theory and Applications
13 Communications on Pure and Applied Mathematics
13 NoDEA. Nonlinear Differential Equations and Applications
13 Science China. Mathematics
12 Mathematische Zeitschrift
12 The Journal of Geometric Analysis
12 Journal of the European Mathematical Society (JEMS)
11 Inverse Problems
11 Memoirs of the American Mathematical Society
11 Acta Mathematica Sinica. English Series
11 Boundary Value Problems
11 Inverse Problems and Imaging
10 Journal d’Analyse Mathématique
10 Chinese Annals of Mathematics. Series B
10 Bulletin of the American Mathematical Society. New Series
10 Annals of Mathematics. Second Series
9 Abstract and Applied Analysis
9 Séminaire Laurent Schwartz. EDP et Applications
8 Annales de l’Institut Fourier
8 Applied Mathematics and Computation
8 Journal of Computational and Applied Mathematics
8 Evolution Equations and Control Theory
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Systems & Control Letters
7 Journal of the American Mathematical Society
7 Forum Mathematicum
7 SIAM Journal on Applied Mathematics
7 The Journal of Fourier Analysis and Applications
7 Journal of Dynamical and Control Systems
7 Discrete and Continuous Dynamical Systems. Series B
7 Nonlinear Analysis. Theory, Methods & Applications
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Numerische Mathematik
6 SIAM Journal on Control and Optimization
6 Physica D
6 Geometric and Functional Analysis. GAFA
6 Journal of Dynamics and Differential Equations
6 Journal of Inverse and Ill-Posed Problems
6 Journal of Spectral Theory
5 Journal für die Reine und Angewandte Mathematik
5 Mathematische Nachrichten
5 St. Petersburg Mathematical Journal
4 Letters in Mathematical Physics
4 Acta Mathematica
4 Quarterly of Applied Mathematics
4 Acta Applicandae Mathematicae
4 Acta Mathematicae Applicatae Sinica. English Series
4 Journal of Nonlinear Science
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Journal of the Institute of Mathematics of Jussieu
4 Mediterranean Journal of Mathematics
4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
4 Discrete and Continuous Dynamical Systems. Series S
4 Kyoto Journal of Mathematics
4 Bulletin of Mathematical Sciences
4 Forum of Mathematics, Sigma
4 Advances in Nonlinear Analysis
4 Journal de l’École Polytechnique – Mathématiques
3 Israel Journal of Mathematics
3 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
3 Journal of Computational Physics
...and 173 more Serials
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Cited in 50 Fields

1,915 Partial differential equations (35-XX)
374 Fluid mechanics (76-XX)
205 Systems theory; control (93-XX)
203 Global analysis, analysis on manifolds (58-XX)
195 Mechanics of deformable solids (74-XX)
133 Operator theory (47-XX)
123 Quantum theory (81-XX)
114 Harmonic analysis on Euclidean spaces (42-XX)
101 Relativity and gravitational theory (83-XX)
82 Dynamical systems and ergodic theory (37-XX)
73 Differential geometry (53-XX)
66 Functional analysis (46-XX)
63 Numerical analysis (65-XX)
52 Calculus of variations and optimal control; optimization (49-XX)
47 Probability theory and stochastic processes (60-XX)
42 Optics, electromagnetic theory (78-XX)
34 Statistical mechanics, structure of matter (82-XX)
28 General topology (54-XX)
24 Ordinary differential equations (34-XX)
23 Real functions (26-XX)
19 Mechanics of particles and systems (70-XX)
18 Integral equations (45-XX)
14 Biology and other natural sciences (92-XX)
12 Geophysics (86-XX)
11 Potential theory (31-XX)
9 Functions of a complex variable (30-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 Abstract harmonic analysis (43-XX)
7 Integral transforms, operational calculus (44-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Information and communication theory, circuits (94-XX)
6 Special functions (33-XX)
5 Topological groups, Lie groups (22-XX)
5 Approximations and expansions (41-XX)
5 Astronomy and astrophysics (85-XX)
4 General and overarching topics; collections (00-XX)
4 Operations research, mathematical programming (90-XX)
3 History and biography (01-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Measure and integration (28-XX)
3 Difference and functional equations (39-XX)
3 Convex and discrete geometry (52-XX)
3 Computer science (68-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Associative rings and algebras (16-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Manifolds and cell complexes (57-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Statistics (62-XX)

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