Edit Profile (opens in new tab) Tataru, Daniel Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications 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 0972.35084Koch, Herbert; Tataru, Daniel 374 2001 Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping. Zbl 0803.35088Lasiecka, I.; Tataru, D. 286 1993 Unique continuation for solutions to PDE’s; between Hörmander’s theorem and Holmgren’s theorem. Zbl 0846.35021Tataru, Daniel 123 1995 Renormalization and blow up for charge one equivariant critical wave maps. Zbl 1139.35021Krieger, J.; Schlag, W.; Tataru, D. 91 2008 Dispersive estimates for principally normal pseudodifferential operators. Zbl 1078.35143Koch, Herbert; Tataru, Daniel 85 2005 Global well-posedness of the KP-I initial-value problem in the energy space. Zbl 1188.35163Ionescu, A. D.; Kenig, C. E.; Tataru, D. 75 2008 Strichartz estimates for a Schrödinger operator with nonsmooth coefficients. Zbl 1010.35015Staffilani, Gigliola; Tataru, Daniel 72 2002 On the regularity of boundary traces for the wave equation. Zbl 0932.35136Tataru, Daniel 72 1998 Slow blow-up solutions for the \(H^1(\mathbb R^3)\) critical focusing semilinear wave equation. Zbl 1170.35066Krieger, Joachim; Schlag, Wilhelm; Tataru, Daniel 72 2009 A local energy estimate on Kerr black hole backgrounds. Zbl 1209.83028Tataru, Daniel; Tohaneanu, Mihai 71 2011 Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients. Zbl 1033.35025Koch, Herbert; Tataru, Daniel 70 2001 Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation. Zbl 0956.35088Tataru, Daniel 67 2001 A priori bounds for the 1D cubic NLS in negative Sobolev spaces. Zbl 1169.35055Koch, Herbert; Tataru, Daniel 66 2007 Local decay of waves on asymptotically flat stationary space-times. Zbl 1266.83033Tataru, Daniel 62 2013 Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in \(H^1(\mathbb T^3)\). Zbl 1230.35130Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay 62 2011 Viscosity solutions of Hamilton-Jacobi equations with unbounded nonlinear terms. Zbl 0757.35034Tataru, Daniel 61 1992 Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces. Zbl 1233.35112Bejenaru, I.; Ionescu, A. D.; Kenig, C. E.; Tataru, D. 60 2011 On global existence and scattering for the wave maps equation. Zbl 0979.35100Tataru, Daniel 58 2001 Local and global results for wave maps. I. Zbl 0914.35083Tataru, Daniel 58 1998 Regularity of wave-maps in dimension \(2+1\). Zbl 1218.35057Sterbenz, Jacob; Tataru, Daniel 57 2010 Uniqueness in Calderón’s problem with Lipschitz conductivities. Zbl 1260.35251Haberman, Boaz; Tataru, Daniel 57 2013 On the 2D Zakharov system with \(L^{2}\) Schrödinger data. Zbl 1173.35651Bejenaru, I.; Herr, S.; Holmer, J.; Tataru, D. 56 2009 Two dimensional water waves in holomorphic coordinates. Zbl 1358.35121Hunter, John K.; Ifrim, Mihaela; Tataru, Daniel 55 2016 Global existence, uniqueness and regularity of solutions to a von Kármán system with nonlinear boundary dissipation. Zbl 0847.35070Favini, Angelo; Horn, Mary Ann; Lasiecka, Irena; Tataru, Daniel 51 1996 Strichartz estimates on Schwarzschild black hole backgrounds. Zbl 1202.35327Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai 49 2010 Rough solutions for the wave maps equations. Zbl 1330.58021Tataru, Daniel 47 2005 On the optimal local regularity for the Yang-Mills equations in \(\mathbb{R}^{4+1}\). Zbl 0924.58010Klainerman, Sergiu; Tataru, Daniel 47 1999 Energy dispersed large data wave maps in \(2+1\) dimensions. Zbl 1218.35129Sterbenz, Jacob; Tataru, Daniel 46 2010 Two dimensional water waves in holomorphic coordinates. II: Global solutions. (Ondes aquatiques de dimension 2 en coordonnées holomorphes II : solutions globales.) Zbl 1360.35179Ifrim, Mihaela; Tataru, Daniel 46 2016 Price’s law on nonstationary space-times. Zbl 1246.83070Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai 46 2012 Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. III. Zbl 0990.35027Tataru, Daniel 45 2002 \(L^p\) eigenfunction bounds for the Hermite operator. Zbl 1075.35020Koch, Herbert; Tataru, Daniel 45 2005 Carleman estimates and absence of embedded eigenvalues. Zbl 1151.35025Koch, Herbert; Tataru, Daniel 45 2006 Uniqueness and stability in the Cauchy problem for Maxwell and elasticity systems. Zbl 1038.35159Eller, M.; Isakov, V.; Nakamura, G.; Tataru, D. 42 2002 Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations. Zbl 1180.35187Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel 40 2008 Unique continuation for operators with partially analytic coefficients. Zbl 0936.35038Tataru, Daniel 39 1999 Carleman estimates and unique continuation for solutions to boundary value problems. Zbl 0896.35023Tataru, D. 39 1996 Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. II. Zbl 0988.35037Tataru, Daniel 39 2001 Sharp local well-posedness results for the nonlinear wave equation. Zbl 1098.35113Smith, Hart F.; Tataru, Daniel 38 2005 The lifespan of small data solutions in two dimensional capillary water waves. Zbl 1375.35347Ifrim, Mihaela; Tataru, Daniel 34 2017 Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation. Zbl 0959.35125Tataru, Daniel 33 2000 Carleman estimates and unique continuation for second order parabolic equations with nonsmooth coefficients. Zbl 1178.35107Koch, Herbert; Tataru, Daniel 33 2009 Remark on Strichartz-type inequalities. (Appendices by Jean Bourgain and Daniel Tataru). Zbl 0853.35062Klainerman, Sergiu; Machedon, Matei 32 1996 Local wellposedness of Chern-Simons-Schrödinger. Zbl 1304.35649Liu, Baoping; Smith, Paul; Tataru, Daniel 32 2014 Semiclassical \(L^p\) estimates. Zbl 1133.58025Koch, Herbert; Tataru, Daniel; Zworski, Maciej 31 2007 The wave maps equation. Zbl 1065.35199Tataru, Daniel 31 2004 Phase space transforms and microlocal analysis. Zbl 1111.35143Tataru, Daniel 30 2004 Global parametrices and dispersive estimates for variable coefficient wave equations. Zbl 1259.35006Metcalfe, Jason; Tataru, Daniel 29 2012 Dispersive equations and nonlinear waves. Generalized Korteweg-de Vries, nonlinear Schrödinger, wave and Schrödinger maps. Zbl 1304.35003Koch, Herbert; Tataru, Daniel; Vişan, Monica 29 2014 Long time solutions for a Burgers-Hilbert equation via a modified energy method. Zbl 1320.35071Hunter, John K.; Ifrim, Mihaela; Tataru, Daniel; Wong, Tak Kwong 27 2015 Strichartz estimates for partially periodic solutions to Schrödinger equations in \(4d\) and applications. Zbl 1293.35299Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay 25 2014 Parametrices and dispersive estimates for Schrödinger operators with variable coefficients. Zbl 1159.35315Tataru, Daniel 24 2008 Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system. Zbl 0958.93012Albano, Paolo; Tataru, Daniel 23 2000 Boundary controllability for conservative PDEs. Zbl 0836.35085Tataru, D. 23 1995 A priori estimates of Carleman’s type in domains with boundary. Zbl 0835.35031Tataru, D. 22 1994 Renormalization and blow up for the critical Yang-Mills problem. Zbl 1183.35203Krieger, J.; Schlag, W.; Tataru, D. 21 2009 Sharp counterexamples in unique continuation for second order elliptic equations. Zbl 1222.35050Koch, Herbert; Tataru, Daniel 21 2002 Global bounds for the cubic nonlinear Schrödinger equation (NLS) in one space dimension. Zbl 1330.35402Ifrim, Mihaela; Tataru, Daniel 21 2015 The \(X\theta^ s\) spaces and unique continuation for solutions to the semilinear wave equation. Zbl 0853.35017Tataru, Daniel 20 1996 Energy and local energy bounds for the 1-d cubic NLS equation in \(H^{-\frac{1}{4}}\). Zbl 1280.35137Koch, Herbert; Tataru, Daniel 19 2012 A convolution estimate for two-dimensional hypersurfaces. Zbl 1203.42033Bejenaru, Ioan; Herr, Sebastian; Tataru, Daniel 18 2010 Unique continuation problems for partial differential equations. Zbl 1071.35027Tataru, Daniel 18 2003 On the Fefferman-Phong inequality and related problems. Zbl 1045.35115Tataru, Daniel 18 2002 Conserved energies for the cubic nonlinear Schrödinger equation in one dimension. Zbl 1434.35181Koch, Herbert; Tataru, Daniel 18 2018 Local energy decay for Maxwell fields. I: Spherically symmetric black-hole backgrounds. Zbl 1318.83006Sterbenz, Jacob; Tataru, Daniel 16 2015 Decay estimates for variable coefficient wave equations in exterior domains. Zbl 1201.35047Metcalfe, Jason; Tataru, Daniel 15 2009 Global well-posedness and scattering of the (4+1)-dimensional Maxwell-Klein-Gordon equation. Zbl 1364.35198Oh, Sung-Jin; Tataru, Daniel 15 2016 Carleman estimates, unique continuation and controllability for anisotropic PDE’s. Zbl 0906.35017Tataru, Daniel 15 1997 Well-posedness and dispersive decay of small data solutions for the Benjamin-Ono equation. Zbl 1423.35350Ifrim, Mihaela; Tataru, Daniel 14 2019 Low regularity a priori bounds for the modified Korteweg-de Vries equation. Zbl 1284.35367Christ, Michael; Holmer, Justin; Tataru, Daniel 13 2012 Equivariant Schrödinger maps in two spatial dimensions. Zbl 1326.35087Bejenaru, I.; Ionescu, A.; Kenig, C.; Tataru, D. 13 2013 Viscosity solutions for Hamilton-Jacobi equations with unbounded nonlinear term: A simplified approach. Zbl 0810.34060Tataru, Daniel 12 1994 Quasilinear Schrödinger equations. I: Small data and quadratic interactions. Zbl 1248.35196Marzuola, Jeremy L.; Metcalfe, Jason; Tataru, Daniel 12 2012 Large data local solutions for the derivative NLS equation. Zbl 1250.35160Bejenaru, Ioan; Tataru, Daniel 12 2008 On the equation \(\square u=|\nabla u|^2\) in \(5+1\) dimensions. Zbl 0949.35093Tataru, Daniel 11 1999 Pointwise decay for the Maxwell field on black hole space-times. Zbl 1381.35182Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai 11 2017 Null controllability for the dissipative semilinear heat equation. Zbl 1031.93018Aniţa, Sebastian; Tataru, Daniel 11 2002 Finite depth gravity water waves in holomorphic coordinates. Zbl 1403.35237Harrop-Griffiths, Benjamin; Ifrim, Mihaela; Tataru, Daniel 11 2017 Global well-posedness for the Yang-Mills equation in \(4+1\) dimensions. Small energy. Zbl 1377.58007Krieger, Joachim; Tataru, Daniel 10 2017 Strong uniqueness for second order elliptic operators with Gevrey coefficients. Zbl 1174.35335Colombini, Ferruccio; Grammatico, Cataldo; Tataru, Daniel 9 2006 On the Cauchy problem for the full von Kármán system. Zbl 0882.35122Tataru, Daniel; Tucsnak, Marius 9 1997 Wave packet parametrices for evolutions governed by PDO’s with rough symbols. Zbl 1137.35091Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel 9 2008 Near soliton evolution for equivariant Schrödinger maps in two spatial dimensions. Zbl 1303.58009Bejenaru, Ioan; Tataru, Daniel 9 2014 Global wellposedness in the energy space for the Maxwell-Schrödinger system. Zbl 1171.81006Bejenaru, Ioan; Tataru, Daniel 9 2009 Two-dimensional gravity water waves with constant vorticity. I: Cubic lifespan. With appendices by Mihaela Ifrim and Daniel Tataru. Zbl 1403.35238Ifrim, Mihaela; Tataru, Daniel 9 2019 Quasilinear Schrödinger equations. II: Small data and cubic nonlinearities. Zbl 1309.35140Marzuola, Jeremy L.; Metcalfe, Jason; Tataru, Daniel 9 2014 Global well-posedness for the Maxwell-Klein-Gordon equation in \(4+1\) dimensions: small energy. Zbl 1329.35209Krieger, Joachim; Sterbenz, Jacob; Tataru, Daniel 9 2015 Sharp counterexamples for Strichartz estimates for low regularity metrics. Zbl 1003.35075Smith, Hart F.; Tataru, Daniel 8 2002 Viscosity solutions for the dynamic programming equations. Zbl 0760.49017Tataru, Daniel 8 1992 On the spectrum of hyperbolic semigroups. Zbl 0823.35108Koch, Herbert; Tataru, Daniel 8 1995 Local well-posedness of the \((4 + 1)\)-dimensional Maxwell-Klein-Gordon equation at energy regularity. Zbl 1402.35273Oh, Sung-Jin; Tataru, Daniel 7 2016 Uniform boundary stabilization of semilinear wave equation with nonlinear boundary damping. Zbl 0819.35098Lasiecka, I.; Tataru, D. 6 1993 Equivariant Schrödinger maps in two spatial dimensions: the \(\mathbb{H}^2\) target. Zbl 1370.35235Bejenaru, Ioan; Ionescu, Alexandru; Kenig, Carlos; Tataru, Daniel 6 2016 A phase space transform adapted to the wave equation. Zbl 1221.35457Geba, Dan-Andrei; Tataru, Daniel 6 2007 Local energy decay for scalar fields on time dependent non-trapping backgrounds. Zbl 1445.35069Metcalfe, Jason; Sterbenz, Jacob; Tataru, Daniel 6 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 1436.35058Nachman, Adrian; Regev, Idan; Tataru, Daniel 6 2020 Energy dispersed solutions for the \((4 + 1)\)-dimensional Maxwell-Klein-Gordon equation. Zbl 1392.35309Oh, Sung-Jin; Tataru, Daniel 5 2018 Carleman estimates and unique continuation for the Schrödinger equation. Zbl 0828.35021Tataru, Daniel 5 1995 Recent results on unique continuation for second order elliptic equations. Zbl 1194.35119Koch, Herbert; Tataru, Daniel 5 2001 Uniform decay rates and attractors for evolution PDE’s with boundary dissipation. Zbl 0831.35022Tataru, Daniel 4 1995 Quasilinear Schrödinger equations. III: Large data and short time. Zbl 07456153Marzuola, Jeremy L.; Metcalfe, Jason; Tataru, Daniel 1 2021 Local energy decay for scalar fields on time dependent non-trapping backgrounds. Zbl 1445.35069Metcalfe, Jason; Sterbenz, Jacob; Tataru, Daniel 6 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 1436.35058Nachman, Adrian; Regev, Idan; Tataru, Daniel 6 2020 The hyperbolic Yang-Mills equation in the caloric gauge: local well-posedness and control of energy-dispersed solutions. Zbl 1446.35150Oh, Sung-Jin; Tataru, Daniel 3 2020 No solitary waves in 2D gravity and capillary waves in deep water. Zbl 1459.76029Ifrim, Mihaela; Tataru, Daniel 3 2020 Morawetz inequalities for water waves. Zbl 1458.35077Alazard, Thomas; Ifrim, Mihaela; Tataru, Daniel 1 2020 Well-posedness and dispersive decay of small data solutions for the Benjamin-Ono equation. Zbl 1423.35350Ifrim, Mihaela; Tataru, Daniel 14 2019 Two-dimensional gravity water waves with constant vorticity. I: Cubic lifespan. With appendices by Mihaela Ifrim and Daniel Tataru. Zbl 1403.35238Ifrim, Mihaela; Tataru, Daniel 9 2019 The hyperbolic Yang-Mills equation for connections in an arbitrary topological class. Zbl 1412.58007Oh, Sung-Jin; Tataru, Daniel 3 2019 The threshold theorem for the \((4+1)\)-dimensional Yang-Mills equation: an overview of the proof. Zbl 1420.35273Oh, Sung-Jin; Tataru, Daniel 2 2019 The NLS approximation for two dimensional deep gravity waves. Zbl 1415.76070Ifrim, Mihaela; Tataru, Daniel 2 2019 Conserved energies for the cubic nonlinear Schrödinger equation in one dimension. Zbl 1434.35181Koch, Herbert; Tataru, Daniel 18 2018 Energy dispersed solutions for the \((4 + 1)\)-dimensional Maxwell-Klein-Gordon equation. Zbl 1392.35309Oh, Sung-Jin; Tataru, Daniel 5 2018 The lifespan of small data solutions in two dimensional capillary water waves. Zbl 1375.35347Ifrim, Mihaela; Tataru, Daniel 34 2017 Pointwise decay for the Maxwell field on black hole space-times. Zbl 1381.35182Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai 11 2017 Finite depth gravity water waves in holomorphic coordinates. Zbl 1403.35237Harrop-Griffiths, Benjamin; Ifrim, Mihaela; Tataru, Daniel 11 2017 Global well-posedness for the Yang-Mills equation in \(4+1\) dimensions. Small energy. Zbl 1377.58007Krieger, Joachim; Tataru, Daniel 10 2017 The lifespan of small data solutions to the KP-I. Zbl 1405.35185Harrop-Griffiths, Benjamin; Ifrim, Mihaela; Tataru, Daniel 2 2017 Two dimensional water waves in holomorphic coordinates. Zbl 1358.35121Hunter, John K.; Ifrim, Mihaela; Tataru, Daniel 55 2016 Two dimensional water waves in holomorphic coordinates. II: Global solutions. (Ondes aquatiques de dimension 2 en coordonnées holomorphes II : solutions globales.) Zbl 1360.35179Ifrim, Mihaela; Tataru, Daniel 46 2016 Global well-posedness and scattering of the (4+1)-dimensional Maxwell-Klein-Gordon equation. Zbl 1364.35198Oh, Sung-Jin; Tataru, Daniel 15 2016 Local well-posedness of the \((4 + 1)\)-dimensional Maxwell-Klein-Gordon equation at energy regularity. Zbl 1402.35273Oh, Sung-Jin; Tataru, Daniel 7 2016 Equivariant Schrödinger maps in two spatial dimensions: the \(\mathbb{H}^2\) target. Zbl 1370.35235Bejenaru, Ioan; Ionescu, Alexandru; Kenig, Carlos; Tataru, Daniel 6 2016 Long time solutions for a Burgers-Hilbert equation via a modified energy method. Zbl 1320.35071Hunter, John K.; Ifrim, Mihaela; Tataru, Daniel; Wong, Tak Kwong 27 2015 Global bounds for the cubic nonlinear Schrödinger equation (NLS) in one space dimension. Zbl 1330.35402Ifrim, Mihaela; Tataru, Daniel 21 2015 Local energy decay for Maxwell fields. I: Spherically symmetric black-hole backgrounds. Zbl 1318.83006Sterbenz, Jacob; Tataru, Daniel 16 2015 Global well-posedness for the Maxwell-Klein-Gordon equation in \(4+1\) dimensions: small energy. Zbl 1329.35209Krieger, Joachim; Sterbenz, Jacob; Tataru, Daniel 9 2015 Decay of linear waves on black hole spacetimes. Zbl 1339.83014Tataru, Daniel 3 2015 Local wellposedness of Chern-Simons-Schrödinger. Zbl 1304.35649Liu, Baoping; Smith, Paul; Tataru, Daniel 32 2014 Dispersive equations and nonlinear waves. Generalized Korteweg-de Vries, nonlinear Schrödinger, wave and Schrödinger maps. Zbl 1304.35003Koch, Herbert; Tataru, Daniel; Vişan, Monica 29 2014 Strichartz estimates for partially periodic solutions to Schrödinger equations in \(4d\) and applications. Zbl 1293.35299Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay 25 2014 Near soliton evolution for equivariant Schrödinger maps in two spatial dimensions. Zbl 1303.58009Bejenaru, Ioan; Tataru, Daniel 9 2014 Quasilinear Schrödinger equations. II: Small data and cubic nonlinearities. Zbl 1309.35140Marzuola, Jeremy L.; Metcalfe, Jason; Tataru, Daniel 9 2014 Local decay of waves on asymptotically flat stationary space-times. Zbl 1266.83033Tataru, Daniel 62 2013 Uniqueness in Calderón’s problem with Lipschitz conductivities. Zbl 1260.35251Haberman, Boaz; Tataru, Daniel 57 2013 Equivariant Schrödinger maps in two spatial dimensions. Zbl 1326.35087Bejenaru, I.; Ionescu, A.; Kenig, C.; Tataru, D. 13 2013 A codimension-two stable manifold of near soliton equivariant wave maps. Zbl 1350.35108Bejenaru, Ioan; Krieger, Joachim; Tataru, Daniel 4 2013 Price’s law on nonstationary space-times. Zbl 1246.83070Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai 46 2012 Global parametrices and dispersive estimates for variable coefficient wave equations. Zbl 1259.35006Metcalfe, Jason; Tataru, Daniel 29 2012 Energy and local energy bounds for the 1-d cubic NLS equation in \(H^{-\frac{1}{4}}\). Zbl 1280.35137Koch, Herbert; Tataru, Daniel 19 2012 Low regularity a priori bounds for the modified Korteweg-de Vries equation. Zbl 1284.35367Christ, Michael; Holmer, Justin; Tataru, Daniel 13 2012 Quasilinear Schrödinger equations. I: Small data and quadratic interactions. Zbl 1248.35196Marzuola, Jeremy L.; Metcalfe, Jason; Tataru, Daniel 12 2012 A local energy estimate on Kerr black hole backgrounds. Zbl 1209.83028Tataru, Daniel; Tohaneanu, Mihai 71 2011 Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in \(H^1(\mathbb T^3)\). Zbl 1230.35130Herr, Sebastian; Tataru, Daniel; Tzvetkov, Nikolay 62 2011 Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces. Zbl 1233.35112Bejenaru, I.; Ionescu, A. D.; Kenig, C. E.; Tataru, D. 60 2011 Regularity of wave-maps in dimension \(2+1\). Zbl 1218.35057Sterbenz, Jacob; Tataru, Daniel 57 2010 Strichartz estimates on Schwarzschild black hole backgrounds. Zbl 1202.35327Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai 49 2010 Energy dispersed large data wave maps in \(2+1\) dimensions. Zbl 1218.35129Sterbenz, Jacob; Tataru, Daniel 46 2010 A convolution estimate for two-dimensional hypersurfaces. Zbl 1203.42033Bejenaru, Ioan; Herr, Sebastian; Tataru, Daniel 18 2010 Slow blow-up solutions for the \(H^1(\mathbb R^3)\) critical focusing semilinear wave equation. Zbl 1170.35066Krieger, Joachim; Schlag, Wilhelm; Tataru, Daniel 72 2009 On the 2D Zakharov system with \(L^{2}\) Schrödinger data. Zbl 1173.35651Bejenaru, I.; Herr, S.; Holmer, J.; Tataru, D. 56 2009 Carleman estimates and unique continuation for second order parabolic equations with nonsmooth coefficients. Zbl 1178.35107Koch, Herbert; Tataru, Daniel 33 2009 Renormalization and blow up for the critical Yang-Mills problem. Zbl 1183.35203Krieger, J.; Schlag, W.; Tataru, D. 21 2009 Decay estimates for variable coefficient wave equations in exterior domains. Zbl 1201.35047Metcalfe, Jason; Tataru, Daniel 15 2009 Global wellposedness in the energy space for the Maxwell-Schrödinger system. Zbl 1171.81006Bejenaru, Ioan; Tataru, Daniel 9 2009 Renormalization and blow up for charge one equivariant critical wave maps. Zbl 1139.35021Krieger, J.; Schlag, W.; Tataru, D. 91 2008 Global well-posedness of the KP-I initial-value problem in the energy space. Zbl 1188.35163Ionescu, A. D.; Kenig, C. E.; Tataru, D. 75 2008 Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations. Zbl 1180.35187Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel 40 2008 Parametrices and dispersive estimates for Schrödinger operators with variable coefficients. Zbl 1159.35315Tataru, Daniel 24 2008 Large data local solutions for the derivative NLS equation. Zbl 1250.35160Bejenaru, Ioan; Tataru, Daniel 12 2008 Wave packet parametrices for evolutions governed by PDO’s with rough symbols. Zbl 1137.35091Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel 9 2008 Subcritical \(L^p\) bounds on spectral clusters for Lipschitz metrics. Zbl 1159.58017Koch, Herbert; Smith, Hart F.; Tataru, Daniel 1 2008 A priori bounds for the 1D cubic NLS in negative Sobolev spaces. Zbl 1169.35055Koch, Herbert; Tataru, Daniel 66 2007 Semiclassical \(L^p\) estimates. Zbl 1133.58025Koch, Herbert; Tataru, Daniel; Zworski, Maciej 31 2007 A phase space transform adapted to the wave equation. Zbl 1221.35457Geba, Dan-Andrei; Tataru, Daniel 6 2007 Sharp \(L^q\) bounds on spectral clusters for Hölder metrics. Zbl 1128.58014Koch, Herbert; Smith, Hart F.; Tataru, Daniel 2 2007 Carleman estimates and absence of embedded eigenvalues. Zbl 1151.35025Koch, Herbert; Tataru, Daniel 45 2006 Strong uniqueness for second order elliptic operators with Gevrey coefficients. Zbl 1174.35335Colombini, Ferruccio; Grammatico, Cataldo; Tataru, Daniel 9 2006 Outgoing parametrices and global Strichartz estimates for Schrödinger equations with variable coefficients. Zbl 1120.81030Tataru, Daniel 2 2006 Dispersive estimates for principally normal pseudodifferential operators. Zbl 1078.35143Koch, Herbert; Tataru, Daniel 85 2005 Rough solutions for the wave maps equations. Zbl 1330.58021Tataru, Daniel 47 2005 \(L^p\) eigenfunction bounds for the Hermite operator. Zbl 1075.35020Koch, Herbert; Tataru, Daniel 45 2005 Sharp local well-posedness results for the nonlinear wave equation. Zbl 1098.35113Smith, Hart F.; Tataru, Daniel 38 2005 Dispersive estimates for wave equations. Zbl 1078.35024Tataru, Daniel; Geba, Dan-Andrei 2 2005 The wave maps equation. Zbl 1065.35199Tataru, Daniel 31 2004 Phase space transforms and microlocal analysis. Zbl 1111.35143Tataru, Daniel 30 2004 Unique continuation for second-order parabolic operators at the initial time. Zbl 1039.35046Albano, Paolo; Tataru, Daniel 2 2004 Unique continuation problems for partial differential equations. Zbl 1071.35027Tataru, Daniel 18 2003 Null form estimates for second order hyperbolic operators with rough coefficients. Zbl 1052.35134Tataru, Daniel 2 2003 Strichartz estimates for a Schrödinger operator with nonsmooth coefficients. Zbl 1010.35015Staffilani, Gigliola; Tataru, Daniel 72 2002 Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. III. Zbl 0990.35027Tataru, Daniel 45 2002 Uniqueness and stability in the Cauchy problem for Maxwell and elasticity systems. Zbl 1038.35159Eller, M.; Isakov, V.; Nakamura, G.; Tataru, D. 42 2002 Sharp counterexamples in unique continuation for second order elliptic equations. Zbl 1222.35050Koch, Herbert; Tataru, Daniel 21 2002 On the Fefferman-Phong inequality and related problems. Zbl 1045.35115Tataru, Daniel 18 2002 Null controllability for the dissipative semilinear heat equation. Zbl 1031.93018Aniţa, Sebastian; Tataru, Daniel 11 2002 Sharp counterexamples for Strichartz estimates for low regularity metrics. Zbl 1003.35075Smith, Hart F.; Tataru, Daniel 8 2002 Nonlinear wave equations. Zbl 1136.35417Tataru, Daniel 1 2002 Well-posedness for the Navier-Stokes equations. Zbl 0972.35084Koch, Herbert; Tataru, Daniel 374 2001 Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients. Zbl 1033.35025Koch, Herbert; Tataru, Daniel 70 2001 Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation. Zbl 0956.35088Tataru, Daniel 67 2001 On global existence and scattering for the wave maps equation. Zbl 0979.35100Tataru, Daniel 58 2001 Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. II. Zbl 0988.35037Tataru, Daniel 39 2001 Recent results on unique continuation for second order elliptic equations. Zbl 1194.35119Koch, Herbert; Tataru, Daniel 5 2001 Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation. Zbl 0959.35125Tataru, Daniel 33 2000 Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system. Zbl 0958.93012Albano, Paolo; Tataru, Daniel 23 2000 On the optimal local regularity for the Yang-Mills equations in \(\mathbb{R}^{4+1}\). Zbl 0924.58010Klainerman, Sergiu; Tataru, Daniel 47 1999 Unique continuation for operators with partially analytic coefficients. Zbl 0936.35038Tataru, Daniel 39 1999 On the equation \(\square u=|\nabla u|^2\) in \(5+1\) dimensions. Zbl 0949.35093Tataru, Daniel 11 1999 On the regularity of boundary traces for the wave equation. Zbl 0932.35136Tataru, Daniel 72 1998 Local and global results for wave maps. I. Zbl 0914.35083Tataru, Daniel 58 1998 ...and 22 more Documents all cited Publications top 5 cited Publications 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. 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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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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