## Tataru, Daniel

Compute Distance To:
 Author ID: tataru.daniel Published as: Tataru, Daniel; Tataru, D.; Tătaru, Daniel External Links: MGP · Wikidata · GND · IdRef · theses.fr
 Documents Indexed: 141 Publications since 1988, including 2 Books 5 Contributions as Editor · 1 Further Contribution Reviewing Activity: 23 Reviews Co-Authors: 47 Co-Authors with 103 Joint Publications 1,073 Co-Co-Authors
all top 5

### Co-Authors

 44 single-authored 24 Koch, Herbert 13 Ifrim, Mihaela 11 Metcalfe, Jason L. 9 Bejenaru, Ioan 8 Kenig, Carlos Eduardo 7 Oh, Sung-Jin 6 Krieger, Joachim 6 Marzuola, Jeremy L. 6 Sterbenz, Jacob 5 Lasiecka, Irena 5 Smith, Hart F. 4 Herr, Sebastian 4 Ionescu, Alexandru D. 4 Tohaneanu, Mihai 3 Geba, Dan-Andrei 3 Schlag, Wilhelm 2 Alazard, Thomas 2 Albano, Paolo 2 Harrop-Griffiths, Benjamin 2 Holmer, Justin 2 Horn, Mary Ann 2 Hunter, John K. 2 Klainerman, Sergiu 2 Tzvetkov, Nikolay 2 Visan, Monica 1 Aniţa, Sebastian 1 Bourgain, Jean 1 Christ, Michael 1 Colombini, Ferruccio 1 Eller, Matthias M. 1 Favini, Angelo 1 Fu, Yuqiu 1 Gavrus, Cristian 1 Grammatico, Cataldo 1 Haberman, Boaz 1 Huang, Jiaxi 1 Isakov, Victor M. 1 Jao, Casey 1 Liu, Baoping 1 Machedon, Matei 1 Nachman, Adrian I. 1 Nakamura, Gen 1 Raphael, Pierre 1 Regev, Idan 1 Smith, Paul Anthony 1 Staffilani, Gigliola 1 Tucsnak, Marius 1 Wong, Tak Kwong 1 Zworski, Maciej
all top 5

### Serials

 9 American Journal of Mathematics 9 Communications in Partial Differential Equations 8 Communications in Mathematical Physics 8 IMRN. International Mathematics Research Notices 7 Duke Mathematical Journal 5 Advances in Mathematics 5 Differential and Integral Equations 5 Mathematical Research Letters 5 Oberwolfach Reports 4 Inventiones Mathematicae 4 Annals of Mathematics. Second Series 3 Nonlinearity 3 Applied Mathematics and Optimization 3 Proceedings of the American Mathematical Society 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Analysis & PDE 2 Archive for Rational Mechanics and Analysis 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 Kyoto Journal of Mathematics 2 Annals of PDE 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 și Cercetări Matematice 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Gazeta Matematica. Perfecționare Metodica și Metodologica in Matematica și 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 1 Water Waves
all top 5

### Fields

 133 Partial differential equations (35-XX) 17 Global analysis, analysis on manifolds (58-XX) 9 Fluid mechanics (76-XX) 9 Relativity and gravitational theory (83-XX) 7 Operator theory (47-XX) 7 Mechanics of deformable solids (74-XX) 7 Quantum theory (81-XX) 7 Systems theory; control (93-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 General and overarching topics; collections (00-XX) 5 Mechanics of particles and systems (70-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Optics, electromagnetic theory (78-XX) 1 Associative rings and algebras (16-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

122 Publications have been cited 3,830 times in 2,457 Documents Cited by Year
Well-posedness for the Navier-Stokes equations. Zbl 0972.35084
Koch, Herbert; Tataru, Daniel
2001
Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping. Zbl 0803.35088
Lasiecka, I.; Tataru, D.
1993
Unique continuation for solutions to PDE’s; between Hörmander’s theorem and Holmgren’s theorem. Zbl 0846.35021
Tataru, Daniel
1995
Renormalization and blow up for charge one equivariant critical wave maps. Zbl 1139.35021
Krieger, J.; Schlag, W.; Tataru, D.
2008
Dispersive estimates for principally normal pseudodifferential operators. Zbl 1078.35143
Koch, Herbert; Tataru, Daniel
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.
2008
Strichartz estimates for a Schrödinger operator with nonsmooth coefficients. Zbl 1010.35015
Staffilani, Gigliola; Tataru, Daniel
2002
On the regularity of boundary traces for the wave equation. Zbl 0932.35136
Tataru, Daniel
1998
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
2009
A local energy estimate on Kerr black hole backgrounds. Zbl 1209.83028
Tataru, Daniel; Tohaneanu, Mihai
2011
Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients. Zbl 1033.35025
Koch, Herbert; Tataru, Daniel
2001
Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation. Zbl 0956.35088
Tataru, Daniel
2001
A priori bounds for the 1D cubic NLS in negative Sobolev spaces. Zbl 1169.35055
Koch, Herbert; Tataru, Daniel
2007
Local decay of waves on asymptotically flat stationary space-times. Zbl 1266.83033
Tataru, Daniel
2013
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
2011
Viscosity solutions of Hamilton-Jacobi equations with unbounded nonlinear terms. Zbl 0757.35034
Tataru, Daniel
1992
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.
2011
On global existence and scattering for the wave maps equation. Zbl 0979.35100
Tataru, Daniel
2001
Local and global results for wave maps. I. Zbl 0914.35083
Tataru, Daniel
1998
Regularity of wave-maps in dimension $$2+1$$. Zbl 1218.35057
Sterbenz, Jacob; Tataru, Daniel
2010
Uniqueness in Calderón’s problem with Lipschitz conductivities. Zbl 1260.35251
Haberman, Boaz; Tataru, Daniel
2013
On the 2D Zakharov system with $$L^{2}$$ Schrödinger data. Zbl 1173.35651
Bejenaru, I.; Herr, S.; Holmer, J.; Tataru, D.
2009
Two dimensional water waves in holomorphic coordinates. Zbl 1358.35121
Hunter, John K.; Ifrim, Mihaela; Tataru, Daniel
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
1996
Strichartz estimates on Schwarzschild black hole backgrounds. Zbl 1202.35327
Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai
2010
Rough solutions for the wave maps equations. Zbl 1330.58021
Tataru, Daniel
2005
On the optimal local regularity for the Yang-Mills equations in $$\mathbb{R}^{4+1}$$. Zbl 0924.58010
Klainerman, Sergiu; Tataru, Daniel
1999
Energy dispersed large data wave maps in $$2+1$$ dimensions. Zbl 1218.35129
Sterbenz, Jacob; Tataru, Daniel
2010
Two dimensional water waves in holomorphic coordinates. II: Global solutions. (Ondes aquatiques de dimension 2 en coordonnées holomorphes II : solutions globales.) Zbl 1360.35179
Ifrim, Mihaela; Tataru, Daniel
2016
Price’s law on nonstationary space-times. Zbl 1246.83070
Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai
2012
Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. III. Zbl 0990.35027
Tataru, Daniel
2002
$$L^p$$ eigenfunction bounds for the Hermite operator. Zbl 1075.35020
Koch, Herbert; Tataru, Daniel
2005
Carleman estimates and absence of embedded eigenvalues. Zbl 1151.35025
Koch, Herbert; Tataru, Daniel
2006
Uniqueness and stability in the Cauchy problem for Maxwell and elasticity systems. Zbl 1038.35159
Eller, M.; Isakov, V.; Nakamura, G.; Tataru, D.
2002
Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations. Zbl 1180.35187
Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel
2008
Unique continuation for operators with partially analytic coefficients. Zbl 0936.35038
Tataru, Daniel
1999
Carleman estimates and unique continuation for solutions to boundary value problems. Zbl 0896.35023
Tataru, D.
1996
Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. II. Zbl 0988.35037
Tataru, Daniel
2001
Sharp local well-posedness results for the nonlinear wave equation. Zbl 1098.35113
Smith, Hart F.; Tataru, Daniel
2005
The lifespan of small data solutions in two dimensional capillary water waves. Zbl 1375.35347
Ifrim, Mihaela; Tataru, Daniel
2017
Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation. Zbl 0959.35125
Tataru, Daniel
2000
Carleman estimates and unique continuation for second order parabolic equations with nonsmooth coefficients. Zbl 1178.35107
Koch, Herbert; Tataru, Daniel
2009
Remark on Strichartz-type inequalities. (Appendices by Jean Bourgain and Daniel Tataru). Zbl 0853.35062
Klainerman, Sergiu; Machedon, Matei
1996
Local wellposedness of Chern-Simons-Schrödinger. Zbl 1304.35649
Liu, Baoping; Smith, Paul; Tataru, Daniel
2014
Semiclassical $$L^p$$ estimates. Zbl 1133.58025
Koch, Herbert; Tataru, Daniel; Zworski, Maciej
2007
The wave maps equation. Zbl 1065.35199
Tataru, Daniel
2004
Phase space transforms and microlocal analysis. Zbl 1111.35143
Tataru, Daniel
2004
Global parametrices and dispersive estimates for variable coefficient wave equations. Zbl 1259.35006
Metcalfe, Jason; Tataru, Daniel
2012
Dispersive equations and nonlinear waves. Generalized Korteweg-de Vries, nonlinear Schrödinger, wave and Schrödinger maps. Zbl 1304.35003
Koch, Herbert; Tataru, Daniel; Vişan, Monica
2014
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
2015
Strichartz estimates for partially periodic solutions to Schrödinger equations in $$4d$$ and applications. Zbl 1293.35299
Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay
2014
Parametrices and dispersive estimates for Schrödinger operators with variable coefficients. Zbl 1159.35315
Tataru, Daniel
2008
Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system. Zbl 0958.93012
Albano, Paolo; Tataru, Daniel
2000
Boundary controllability for conservative PDEs. Zbl 0836.35085
Tataru, D.
1995
A priori estimates of Carleman’s type in domains with boundary. Zbl 0835.35031
Tataru, D.
1994
Renormalization and blow up for the critical Yang-Mills problem. Zbl 1183.35203
Krieger, J.; Schlag, W.; Tataru, D.
2009
Sharp counterexamples in unique continuation for second order elliptic equations. Zbl 1222.35050
Koch, Herbert; Tataru, Daniel
2002
Global bounds for the cubic nonlinear Schrödinger equation (NLS) in one space dimension. Zbl 1330.35402
Ifrim, Mihaela; Tataru, Daniel
2015
The $$X\theta^ s$$ spaces and unique continuation for solutions to the semilinear wave equation. Zbl 0853.35017
Tataru, Daniel
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
2012
A convolution estimate for two-dimensional hypersurfaces. Zbl 1203.42033
Bejenaru, Ioan; Herr, Sebastian; Tataru, Daniel
2010
Unique continuation problems for partial differential equations. Zbl 1071.35027
Tataru, Daniel
2003
On the Fefferman-Phong inequality and related problems. Zbl 1045.35115
Tataru, Daniel
2002
Conserved energies for the cubic nonlinear Schrödinger equation in one dimension. Zbl 1434.35181
Koch, Herbert; Tataru, Daniel
2018
Local energy decay for Maxwell fields. I: Spherically symmetric black-hole backgrounds. Zbl 1318.83006
Sterbenz, Jacob; Tataru, Daniel
2015
Decay estimates for variable coefficient wave equations in exterior domains. Zbl 1201.35047
Metcalfe, Jason; Tataru, Daniel
2009
Global well-posedness and scattering of the (4+1)-dimensional Maxwell-Klein-Gordon equation. Zbl 1364.35198
Oh, Sung-Jin; Tataru, Daniel
2016
Carleman estimates, unique continuation and controllability for anisotropic PDE’s. Zbl 0906.35017
Tataru, Daniel
1997
Well-posedness and dispersive decay of small data solutions for the Benjamin-Ono equation. Zbl 1423.35350
Ifrim, Mihaela; Tataru, Daniel
2019
Low regularity a priori bounds for the modified Korteweg-de Vries equation. Zbl 1284.35367
Christ, Michael; Holmer, Justin; Tataru, Daniel
2012
Equivariant Schrödinger maps in two spatial dimensions. Zbl 1326.35087
Bejenaru, I.; Ionescu, A.; Kenig, C.; Tataru, D.
2013
Viscosity solutions for Hamilton-Jacobi equations with unbounded nonlinear term: A simplified approach. Zbl 0810.34060
Tataru, Daniel
1994
Quasilinear Schrödinger equations. I: Small data and quadratic interactions. Zbl 1248.35196
Marzuola, Jeremy L.; Metcalfe, Jason; Tataru, Daniel
2012
Large data local solutions for the derivative NLS equation. Zbl 1250.35160
Bejenaru, Ioan; Tataru, Daniel
2008
On the equation $$\square u=|\nabla u|^2$$ in $$5+1$$ dimensions. Zbl 0949.35093
Tataru, Daniel
1999
Pointwise decay for the Maxwell field on black hole space-times. Zbl 1381.35182
Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai
2017
Null controllability for the dissipative semilinear heat equation. Zbl 1031.93018
Aniţa, Sebastian; Tataru, Daniel
2002
Finite depth gravity water waves in holomorphic coordinates. Zbl 1403.35237
Harrop-Griffiths, Benjamin; Ifrim, Mihaela; Tataru, Daniel
2017
Global well-posedness for the Yang-Mills equation in $$4+1$$ dimensions. Small energy. Zbl 1377.58007
Krieger, Joachim; Tataru, Daniel
2017
Strong uniqueness for second order elliptic operators with Gevrey coefficients. Zbl 1174.35335
Colombini, Ferruccio; Grammatico, Cataldo; Tataru, Daniel
2006
On the Cauchy problem for the full von Kármán system. Zbl 0882.35122
Tataru, Daniel; Tucsnak, Marius
1997
Wave packet parametrices for evolutions governed by PDO’s with rough symbols. Zbl 1137.35091
Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel
2008
Near soliton evolution for equivariant Schrödinger maps in two spatial dimensions. Zbl 1303.58009
Bejenaru, Ioan; Tataru, Daniel
2014
Global wellposedness in the energy space for the Maxwell-Schrödinger system. Zbl 1171.81006
Bejenaru, Ioan; Tataru, Daniel
2009
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
2019
Quasilinear Schrödinger equations. II: Small data and cubic nonlinearities. Zbl 1309.35140
Marzuola, Jeremy L.; Metcalfe, Jason; Tataru, Daniel
2014
Global well-posedness for the Maxwell-Klein-Gordon equation in $$4+1$$ dimensions: small energy. Zbl 1329.35209
Krieger, Joachim; Sterbenz, Jacob; Tataru, Daniel
2015
Sharp counterexamples for Strichartz estimates for low regularity metrics. Zbl 1003.35075
Smith, Hart F.; Tataru, Daniel
2002
Viscosity solutions for the dynamic programming equations. Zbl 0760.49017
Tataru, Daniel
1992
On the spectrum of hyperbolic semigroups. Zbl 0823.35108
Koch, Herbert; Tataru, Daniel
1995
Local well-posedness of the $$(4 + 1)$$-dimensional Maxwell-Klein-Gordon equation at energy regularity. Zbl 1402.35273
Oh, Sung-Jin; Tataru, Daniel
2016
Uniform boundary stabilization of semilinear wave equation with nonlinear boundary damping. Zbl 0819.35098
Lasiecka, I.; Tataru, D.
1993
Equivariant Schrödinger maps in two spatial dimensions: the $$\mathbb{H}^2$$ target. Zbl 1370.35235
Bejenaru, Ioan; Ionescu, Alexandru; Kenig, Carlos; Tataru, Daniel
2016
A phase space transform adapted to the wave equation. Zbl 1221.35457
Geba, Dan-Andrei; Tataru, Daniel
2007
Local energy decay for scalar fields on time dependent non-trapping backgrounds. Zbl 1445.35069
Metcalfe, Jason; Sterbenz, Jacob; Tataru, Daniel
2020
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
2020
Energy dispersed solutions for the $$(4 + 1)$$-dimensional Maxwell-Klein-Gordon equation. Zbl 1392.35309
Oh, Sung-Jin; Tataru, Daniel
2018
Carleman estimates and unique continuation for the Schrödinger equation. Zbl 0828.35021
Tataru, Daniel
1995
Recent results on unique continuation for second order elliptic equations. Zbl 1194.35119
Koch, Herbert; Tataru, Daniel
2001
Uniform decay rates and attractors for evolution PDE’s with boundary dissipation. Zbl 0831.35022
Tataru, Daniel
1995
Quasilinear Schrödinger equations. III: Large data and short time. Zbl 07456153
Marzuola, Jeremy L.; Metcalfe, Jason; Tataru, Daniel
2021
Local energy decay for scalar fields on time dependent non-trapping backgrounds. Zbl 1445.35069
Metcalfe, Jason; Sterbenz, Jacob; Tataru, Daniel
2020
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
2020
The hyperbolic Yang-Mills equation in the caloric gauge: local well-posedness and control of energy-dispersed solutions. Zbl 1446.35150
Oh, Sung-Jin; Tataru, Daniel
2020
No solitary waves in 2D gravity and capillary waves in deep water. Zbl 1459.76029
Ifrim, Mihaela; Tataru, Daniel
2020
Morawetz inequalities for water waves. Zbl 1458.35077
Alazard, Thomas; Ifrim, Mihaela; Tataru, Daniel
2020
Well-posedness and dispersive decay of small data solutions for the Benjamin-Ono equation. Zbl 1423.35350
Ifrim, Mihaela; Tataru, Daniel
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
2019
The hyperbolic Yang-Mills equation for connections in an arbitrary topological class. Zbl 1412.58007
Oh, Sung-Jin; Tataru, Daniel
2019
The threshold theorem for the $$(4+1)$$-dimensional Yang-Mills equation: an overview of the proof. Zbl 1420.35273
Oh, Sung-Jin; Tataru, Daniel
2019
The NLS approximation for two dimensional deep gravity waves. Zbl 1415.76070
Ifrim, Mihaela; Tataru, Daniel
2019
Conserved energies for the cubic nonlinear Schrödinger equation in one dimension. Zbl 1434.35181
Koch, Herbert; Tataru, Daniel
2018
Energy dispersed solutions for the $$(4 + 1)$$-dimensional Maxwell-Klein-Gordon equation. Zbl 1392.35309
Oh, Sung-Jin; Tataru, Daniel
2018
The lifespan of small data solutions in two dimensional capillary water waves. Zbl 1375.35347
Ifrim, Mihaela; Tataru, Daniel
2017
Pointwise decay for the Maxwell field on black hole space-times. Zbl 1381.35182
Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai
2017
Finite depth gravity water waves in holomorphic coordinates. Zbl 1403.35237
Harrop-Griffiths, Benjamin; Ifrim, Mihaela; Tataru, Daniel
2017
Global well-posedness for the Yang-Mills equation in $$4+1$$ dimensions. Small energy. Zbl 1377.58007
Krieger, Joachim; Tataru, Daniel
2017
The lifespan of small data solutions to the KP-I. Zbl 1405.35185
Harrop-Griffiths, Benjamin; Ifrim, Mihaela; Tataru, Daniel
2017
Two dimensional water waves in holomorphic coordinates. Zbl 1358.35121
Hunter, John K.; Ifrim, Mihaela; Tataru, Daniel
2016
Two dimensional water waves in holomorphic coordinates. II: Global solutions. (Ondes aquatiques de dimension 2 en coordonnées holomorphes II : solutions globales.) Zbl 1360.35179
Ifrim, Mihaela; Tataru, Daniel
2016
Global well-posedness and scattering of the (4+1)-dimensional Maxwell-Klein-Gordon equation. Zbl 1364.35198
Oh, Sung-Jin; Tataru, Daniel
2016
Local well-posedness of the $$(4 + 1)$$-dimensional Maxwell-Klein-Gordon equation at energy regularity. Zbl 1402.35273
Oh, Sung-Jin; Tataru, Daniel
2016
Equivariant Schrödinger maps in two spatial dimensions: the $$\mathbb{H}^2$$ target. Zbl 1370.35235
Bejenaru, Ioan; Ionescu, Alexandru; Kenig, Carlos; Tataru, Daniel
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
2015
Global bounds for the cubic nonlinear Schrödinger equation (NLS) in one space dimension. Zbl 1330.35402
Ifrim, Mihaela; Tataru, Daniel
2015
Local energy decay for Maxwell fields. I: Spherically symmetric black-hole backgrounds. Zbl 1318.83006
Sterbenz, Jacob; Tataru, Daniel
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
2015
Decay of linear waves on black hole spacetimes. Zbl 1339.83014
Tataru, Daniel
2015
Local wellposedness of Chern-Simons-Schrödinger. Zbl 1304.35649
Liu, Baoping; Smith, Paul; Tataru, Daniel
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
2014
Strichartz estimates for partially periodic solutions to Schrödinger equations in $$4d$$ and applications. Zbl 1293.35299
Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay
2014
Near soliton evolution for equivariant Schrödinger maps in two spatial dimensions. Zbl 1303.58009
Bejenaru, Ioan; Tataru, Daniel
2014
Quasilinear Schrödinger equations. II: Small data and cubic nonlinearities. Zbl 1309.35140
Marzuola, Jeremy L.; Metcalfe, Jason; Tataru, Daniel
2014
Local decay of waves on asymptotically flat stationary space-times. Zbl 1266.83033
Tataru, Daniel
2013
Uniqueness in Calderón’s problem with Lipschitz conductivities. Zbl 1260.35251
Haberman, Boaz; Tataru, Daniel
2013
Equivariant Schrödinger maps in two spatial dimensions. Zbl 1326.35087
Bejenaru, I.; Ionescu, A.; Kenig, C.; Tataru, D.
2013
A codimension-two stable manifold of near soliton equivariant wave maps. Zbl 1350.35108
Bejenaru, Ioan; Krieger, Joachim; Tataru, Daniel
2013
Price’s law on nonstationary space-times. Zbl 1246.83070
Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai
2012
Global parametrices and dispersive estimates for variable coefficient wave equations. Zbl 1259.35006
Metcalfe, Jason; Tataru, Daniel
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
2012
Low regularity a priori bounds for the modified Korteweg-de Vries equation. Zbl 1284.35367
Christ, Michael; Holmer, Justin; Tataru, Daniel
2012
Quasilinear Schrödinger equations. I: Small data and quadratic interactions. Zbl 1248.35196
Marzuola, Jeremy L.; Metcalfe, Jason; Tataru, Daniel
2012
A local energy estimate on Kerr black hole backgrounds. Zbl 1209.83028
Tataru, Daniel; Tohaneanu, Mihai
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
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.
2011
Regularity of wave-maps in dimension $$2+1$$. Zbl 1218.35057
Sterbenz, Jacob; Tataru, Daniel
2010
Strichartz estimates on Schwarzschild black hole backgrounds. Zbl 1202.35327
Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai
2010
Energy dispersed large data wave maps in $$2+1$$ dimensions. Zbl 1218.35129
Sterbenz, Jacob; Tataru, Daniel
2010
A convolution estimate for two-dimensional hypersurfaces. Zbl 1203.42033
Bejenaru, Ioan; Herr, Sebastian; Tataru, Daniel
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
2009
On the 2D Zakharov system with $$L^{2}$$ Schrödinger data. Zbl 1173.35651
Bejenaru, I.; Herr, S.; Holmer, J.; Tataru, D.
2009
Carleman estimates and unique continuation for second order parabolic equations with nonsmooth coefficients. Zbl 1178.35107
Koch, Herbert; Tataru, Daniel
2009
Renormalization and blow up for the critical Yang-Mills problem. Zbl 1183.35203
Krieger, J.; Schlag, W.; Tataru, D.
2009
Decay estimates for variable coefficient wave equations in exterior domains. Zbl 1201.35047
Metcalfe, Jason; Tataru, Daniel
2009
Global wellposedness in the energy space for the Maxwell-Schrödinger system. Zbl 1171.81006
Bejenaru, Ioan; Tataru, Daniel
2009
Renormalization and blow up for charge one equivariant critical wave maps. Zbl 1139.35021
Krieger, J.; Schlag, W.; Tataru, D.
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.
2008
Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations. Zbl 1180.35187
Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel
2008
Parametrices and dispersive estimates for Schrödinger operators with variable coefficients. Zbl 1159.35315
Tataru, Daniel
2008
Large data local solutions for the derivative NLS equation. Zbl 1250.35160
Bejenaru, Ioan; Tataru, Daniel
2008
Wave packet parametrices for evolutions governed by PDO’s with rough symbols. Zbl 1137.35091
Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel
2008
Subcritical $$L^p$$ bounds on spectral clusters for Lipschitz metrics. Zbl 1159.58017
Koch, Herbert; Smith, Hart F.; Tataru, Daniel
2008
A priori bounds for the 1D cubic NLS in negative Sobolev spaces. Zbl 1169.35055
Koch, Herbert; Tataru, Daniel
2007
Semiclassical $$L^p$$ estimates. Zbl 1133.58025
Koch, Herbert; Tataru, Daniel; Zworski, Maciej
2007
A phase space transform adapted to the wave equation. Zbl 1221.35457
Geba, Dan-Andrei; Tataru, Daniel
2007
Sharp $$L^q$$ bounds on spectral clusters for Hölder metrics. Zbl 1128.58014
Koch, Herbert; Smith, Hart F.; Tataru, Daniel
2007
Carleman estimates and absence of embedded eigenvalues. Zbl 1151.35025
Koch, Herbert; Tataru, Daniel
2006
Strong uniqueness for second order elliptic operators with Gevrey coefficients. Zbl 1174.35335
Colombini, Ferruccio; Grammatico, Cataldo; Tataru, Daniel
2006
Outgoing parametrices and global Strichartz estimates for Schrödinger equations with variable coefficients. Zbl 1120.81030
Tataru, Daniel
2006
Dispersive estimates for principally normal pseudodifferential operators. Zbl 1078.35143
Koch, Herbert; Tataru, Daniel
2005
Rough solutions for the wave maps equations. Zbl 1330.58021
Tataru, Daniel
2005
$$L^p$$ eigenfunction bounds for the Hermite operator. Zbl 1075.35020
Koch, Herbert; Tataru, Daniel
2005
Sharp local well-posedness results for the nonlinear wave equation. Zbl 1098.35113
Smith, Hart F.; Tataru, Daniel
2005
Dispersive estimates for wave equations. Zbl 1078.35024
Tataru, Daniel; Geba, Dan-Andrei
2005
The wave maps equation. Zbl 1065.35199
Tataru, Daniel
2004
Phase space transforms and microlocal analysis. Zbl 1111.35143
Tataru, Daniel
2004
Unique continuation for second-order parabolic operators at the initial time. Zbl 1039.35046
Albano, Paolo; Tataru, Daniel
2004
Unique continuation problems for partial differential equations. Zbl 1071.35027
Tataru, Daniel
2003
Null form estimates for second order hyperbolic operators with rough coefficients. Zbl 1052.35134
Tataru, Daniel
2003
Strichartz estimates for a Schrödinger operator with nonsmooth coefficients. Zbl 1010.35015
Staffilani, Gigliola; Tataru, Daniel
2002
Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. III. Zbl 0990.35027
Tataru, Daniel
2002
Uniqueness and stability in the Cauchy problem for Maxwell and elasticity systems. Zbl 1038.35159
Eller, M.; Isakov, V.; Nakamura, G.; Tataru, D.
2002
Sharp counterexamples in unique continuation for second order elliptic equations. Zbl 1222.35050
Koch, Herbert; Tataru, Daniel
2002
On the Fefferman-Phong inequality and related problems. Zbl 1045.35115
Tataru, Daniel
2002
Null controllability for the dissipative semilinear heat equation. Zbl 1031.93018
Aniţa, Sebastian; Tataru, Daniel
2002
Sharp counterexamples for Strichartz estimates for low regularity metrics. Zbl 1003.35075
Smith, Hart F.; Tataru, Daniel
2002
Nonlinear wave equations. Zbl 1136.35417
Tataru, Daniel
2002
Well-posedness for the Navier-Stokes equations. Zbl 0972.35084
Koch, Herbert; Tataru, Daniel
2001
Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients. Zbl 1033.35025
Koch, Herbert; Tataru, Daniel
2001
Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation. Zbl 0956.35088
Tataru, Daniel
2001
On global existence and scattering for the wave maps equation. Zbl 0979.35100
Tataru, Daniel
2001
Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. II. Zbl 0988.35037
Tataru, Daniel
2001
Recent results on unique continuation for second order elliptic equations. Zbl 1194.35119
Koch, Herbert; Tataru, Daniel
2001
Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation. Zbl 0959.35125
Tataru, Daniel
2000
Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system. Zbl 0958.93012
Albano, Paolo; Tataru, Daniel
2000
On the optimal local regularity for the Yang-Mills equations in $$\mathbb{R}^{4+1}$$. Zbl 0924.58010
Klainerman, Sergiu; Tataru, Daniel
1999
Unique continuation for operators with partially analytic coefficients. Zbl 0936.35038
Tataru, Daniel
1999
On the equation $$\square u=|\nabla u|^2$$ in $$5+1$$ dimensions. Zbl 0949.35093
Tataru, Daniel
1999
On the regularity of boundary traces for the wave equation. Zbl 0932.35136
Tataru, Daniel
1998
Local and global results for wave maps. I. Zbl 0914.35083
Tataru, Daniel
1998
...and 22 more Documents
all top 5

### Cited by 2,030 Authors

 57 Tataru, Daniel 56 Lasiecka, Irena 35 Cavalcanti, Marcelo Moreira 28 Domingos Cavalcanti, Valéria Neves 26 Kenig, Carlos Eduardo 25 Krieger, Joachim 24 Lassas, Matti J. 21 Uhlmann, Gunther Alberto 21 Wang, Chengbo 20 Ionescu, Alexandru D. 19 Donninger, Roland 19 Herr, Sebastian 19 Merle, Frank 19 Metcalfe, Jason L. 19 Oksanen, Lauri 19 Schlag, Wilhelm 19 Tzvetkov, Nikolay 18 Guo, Zihua 18 Rodnianski, Igor 17 Koch, Herbert 17 Toundykov, Daniel 16 Bejenaru, Ioan 16 Gallagher, Isabelle 16 Kian, Yavar 16 Kukavica, Igor 16 Messaoudi, Salim A. 15 Burq, Nicolas 15 D’Ancona, Piero 15 Kurylëv, Yaroslav Vadimovich 15 Oh, Sung-Jin 15 Planchon, Fabrice 15 Raphael, Pierre 15 Yamamoto, Masahiro 15 Zhang, Ting 14 Klainerman, Sergiu 14 Oh, Tadahiro 14 Triggiani, Roberto 14 Zhou, Yi 13 Guo, Boling 13 Mustafa, Muhammad Islam 13 Plebaniak, Robert 13 Saut, Jean-Claude 13 Sogge, Christopher D. 13 Yan, Wei 12 Feng, Baowei 12 Nicola, Fabio 12 Park, SunHye 12 Rüland, Angkana 12 Wang, Yuzhao 12 Włodarczyk, Kazimierz 11 Algharabli, Mohammad M. 11 Belishev, Mikhail Igorevitch 11 Chemin, Jean-Yves 11 Cui, Shangbin 11 Germain, Pierre 11 Liu, Qiao 11 Molinet, Luc 11 Pilod, Didier 11 Soffer, Avraham 11 Šverák, Vladimír 11 Tao, Terence 11 Tohaneanu, Mihai 11 Wang, Baoxiang 11 Yao, Pengfei 11 Zhao, Jihong 10 Alabau-Boussouira, Fatiha 10 Aretakis, Stefanos 10 Avalos, George 10 Bellassoued, Mourad 10 Ha, Tae Gab 10 Killip, Rowan 10 Lemarié-Rieusset, Pierre Gilles 10 Martel, Yvan 10 Okamoto, Mamoru 10 Salo, Mikko 10 Stefanov, Plamen D. 10 Visan, Monica 10 Wei, Juncheng 10 Zhang, Junyong 10 Zhang, Ping 9 Angelopoulos, Yannis 9 Bociu, Lorena 9 Cordero, Elena 9 de Hoop, Maarten V. 9 Duyckaerts, Thomas 9 Fang, Daoyuan 9 Gajic, Dejan 9 Galkowski, Jeffrey 9 Kang, Jum-Ran 9 Léautaud, Matthieu 9 Li, Yongsheng 9 Marzuola, Jeremy L. 9 Mizutani, Haruya 9 Park, Jong Yeoul 9 Pausader, Benoît 9 Pusateri, Fabio 9 Staffilani, Gigliola 9 Sterbenz, Jacob 9 Tacy, Melissa 9 Tsai, Tai-Peng ...and 1,930 more Authors
all top 5

### Cited in 299 Serials

 150 Journal of Differential Equations 123 Journal of Mathematical Analysis and Applications 106 Communications in Mathematical Physics 89 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 88 Journal of Functional Analysis 86 Communications in Partial Differential Equations 51 Discrete and Continuous Dynamical Systems 50 SIAM Journal on Mathematical Analysis 48 Transactions of the American Mathematical Society 46 Archive for Rational Mechanics and Analysis 44 Advances in Mathematics 40 Journal de Mathématiques Pures et Appliquées. Neuvième Série 39 ZAMP. Zeitschrift für angewandte Mathematik und Physik 39 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 37 Communications on Pure and Applied Analysis 35 Journal of Mathematical Physics 33 Journal of Evolution Equations 32 Proceedings of the American Mathematical Society 31 Annales Henri Poincaré 30 Mathematische Annalen 28 Annals of PDE 26 Duke Mathematical Journal 25 Applied Mathematics and Optimization 24 Inventiones Mathematicae 24 Nonlinear Analysis. Real World Applications 23 Journal of Hyperbolic Differential Equations 22 Applicable Analysis 22 Nonlinearity 22 Comptes Rendus. Mathématique. Académie des Sciences, Paris 21 Calculus of Variations and Partial Differential Equations 21 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 21 Analysis & PDE 20 Mathematical Methods in the Applied Sciences 19 Séminaire Laurent Schwartz. EDP et Applications 17 Revista Matemática Iberoamericana 17 The Journal of Geometric Analysis 17 Journal of Mathematical Fluid Mechanics 17 Journal of the European Mathematical Society (JEMS) 17 Communications in Contemporary Mathematics 15 Computers & Mathematics with Applications 15 Journal of Mathematical Sciences (New York) 15 NoDEA. Nonlinear Differential Equations and Applications 14 Applied Mathematics Letters 14 Fixed Point Theory and Applications 14 Inverse Problems and Imaging 13 Communications on Pure and Applied Mathematics 13 Inverse Problems 13 Mathematische Zeitschrift 13 Memoirs of the American Mathematical Society 13 Boundary Value Problems 13 Science China. Mathematics 12 Annals of Mathematics. Second Series 11 Bulletin of the American Mathematical Society. New Series 11 Acta Mathematica Sinica. English Series 11 Discrete and Continuous Dynamical Systems. Series B 10 Journal d’Analyse Mathématique 10 Chinese Annals of Mathematics. Series B 10 Journal of Dynamics and Differential Equations 10 Evolution Equations and Control Theory 9 Annales de l’Institut Fourier 9 Abstract and Applied Analysis 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Applied Mathematics and Computation 8 Journal of Computational and Applied Mathematics 8 Numerische Mathematik 8 SIAM Journal on Control and Optimization 8 The Journal of Fourier Analysis and Applications 8 Journal of Dynamical and Control Systems 8 Journal of Spectral Theory 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Journal für die Reine und Angewandte Mathematik 7 Systems & Control Letters 7 Journal of the American Mathematical Society 7 Forum Mathematicum 7 SIAM Journal on Applied Mathematics 7 Discrete and Continuous Dynamical Systems. Series S 7 Nonlinear Analysis. Theory, Methods & Applications 6 Letters in Mathematical Physics 6 Geometric and Functional Analysis. GAFA 6 Journal of Inverse and Ill-Posed Problems 6 Advances in Nonlinear Analysis 5 Mathematische Nachrichten 5 Physica D 5 Acta Mathematicae Applicatae Sinica. English Series 5 Journal of Nonlinear Science 5 St. Petersburg Mathematical Journal 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Journal of the Institute of Mathematics of Jussieu 5 Mediterranean Journal of Mathematics 5 Bulletin of Mathematical Sciences 5 Journal de l’École Polytechnique – Mathématiques 5 Water Waves 4 Classical and Quantum Gravity 4 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 4 Journal of Computational Physics 4 Acta Mathematica 4 Quarterly of Applied Mathematics 4 Acta Applicandae Mathematicae 4 Selecta Mathematica. New Series 4 Journal of Inequalities and Applications ...and 199 more Serials
all top 5

### Cited in 52 Fields

 2,201 Partial differential equations (35-XX) 447 Fluid mechanics (76-XX) 237 Systems theory; control (93-XX) 221 Global analysis, analysis on manifolds (58-XX) 219 Mechanics of deformable solids (74-XX) 149 Operator theory (47-XX) 143 Quantum theory (81-XX) 138 Harmonic analysis on Euclidean spaces (42-XX) 110 Relativity and gravitational theory (83-XX) 101 Dynamical systems and ergodic theory (37-XX) 82 Differential geometry (53-XX) 71 Functional analysis (46-XX) 69 Numerical analysis (65-XX) 58 Calculus of variations and optimal control; optimization (49-XX) 53 Probability theory and stochastic processes (60-XX) 49 Optics, electromagnetic theory (78-XX) 42 Statistical mechanics, structure of matter (82-XX) 31 General topology (54-XX) 29 Real functions (26-XX) 27 Ordinary differential equations (34-XX) 24 Mechanics of particles and systems (70-XX) 17 Integral equations (45-XX) 16 Biology and other natural sciences (92-XX) 15 Geophysics (86-XX) 11 Potential theory (31-XX) 9 Functions of a complex variable (30-XX) 9 Abstract harmonic analysis (43-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Difference and functional equations (39-XX) 8 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 Measure and integration (28-XX) 6 Special functions (33-XX) 6 Astronomy and astrophysics (85-XX) 5 General and overarching topics; collections (00-XX) 5 Topological groups, Lie groups (22-XX) 5 Approximations and expansions (41-XX) 5 Operations research, mathematical programming (90-XX) 4 Computer science (68-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Convex and discrete geometry (52-XX) 3 Manifolds and cell complexes (57-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Associative rings and algebras (16-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Geometry (51-XX) 1 Statistics (62-XX)

### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.