Daniel Tătaru | Academic Influence

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Daniel Tătaru

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Geometry

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Mathematics

Daniel Tătaru's Degrees

PhD Mathematics Paris-Saclay University
Masters Mathematics University of Bucharest
Bachelors Mathematics University of Bucharest

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According to Wikipedia, Daniel Ioan Tătaru is a Romanian mathematician at University of California, Berkeley. He earned his doctorate from the University of Virginia in 1992, under supervision of Irena Lasiecka. He won the 2002 Bôcher Memorial Prize for his research on partial differential equations. In 2012 he became a fellow of the American Mathematical Society. In 2013 he was selected as a Simons Investigator in mathematics.

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Daniel Tătaru's Published Works

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Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping (1993) (570)
Well-posedness for the Navier–Stokes Equations (2001) (449)
Renormalization and blow up for charge one equivariant critical wave maps (2006) (219)
STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS (2002) (210)
Dispersive estimates for principally normal pseudodifferential operators (2004) (200)
Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients, II (2001) (186)
ON THE REGULARITY OF BOUNDARY TRACES FOR THE WAVE EQUATION (1998) (182)
A Local Energy Estimate on Kerr Black Hole Backgrounds (2008) (177)
Local decay of waves on asymptotically flat stationary space-times (2009) (176)
Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation (2000) (173)
On global existence and scattering for the wave maps equation (2001) (172)
Local and global results for wave maps I (1998) (163)
Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients (2001) (163)
A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces (2006) (159)
Carleman estimates and unique continuation for solutions to boundary value problems (1996) (153)
Two Dimensional Water Waves in Holomorphic Coordinates (2014) (148)
Global Schrödinger maps in dimensions $d≥ 2$: Small data in the critical Sobolev spaces (2011) (148)
Regularity of Wave-Maps in Dimension 2 + 1 (2009) (148)
Viscosity solutions of Hamilton-Jacobi equations with unbounded nonlinear terms (1992) (148)
Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation (2000) (146)
Uniqueness in Calderón’s problem with Lipschitz conductivities (2011) (143)
Sharp local well-posedness results for the nonlinear wave equation (2005) (136)
Strichartz Estimates on Schwarzschild Black Hole Backgrounds (2008) (131)
Energy Dispersed Large Data Wave Maps in 2 + 1 Dimensions (2009) (129)
Global well-posedness of the KP-I initial-value problem in the energy space (2007) (129)
Rough solutions for the wave maps equation (2005) (124)
SLOW BLOW-UP SOLUTIONS FOR THE H(R) CRITICAL FOCUSING SEMI-LINEAR WAVE EQUATION (2007) (121)
Two dimensional water waves in holomorphic coordinates II: global solutions (2014) (121)
Price's Law on Nonstationary Space-Times (2011) (120)
L^p eigenfunction bounds for the Hermite operator (2004) (120)
On the 2D Zakharov system with L2 Schrödinger data (2008) (120)
Global existence, uniqueness and regularity of solutions to a von Kármán system with nonlinear boundary dissipation (1996) (120)
Uniqueness and stability in the Cauchy problem for Maxwell and elasticity systems (2002) (111)
Strichartz estimates and local smoothing estimates for asymptotically flat Schr (2007) (108)
Carleman Estimates and Absence of Embedded Eigenvalues (2005) (104)
Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in $H^1(\mathbb{T}^3)$ (2010) (102)
On the optimal local regularity for the Yang-Mills equations in ℝ⁴⁺¹ (1999) (96)
Slow blow-up solutions for the $H^1({\mathbb R}^3)$ critical focusing semilinear wave equation (2009) (94)
Unique continuation for operatorswith partially analytic coefficients (1999) (93)
Global parametrices and dispersive estimates for variable coefficient wave equations (2007) (91)
Boundary controllability for conservative PDEs (1995) (88)
A priori estimates of Carleman's type in domains with boundary (1994) (86)
The wave maps equation (2004) (86)
On the optimal local regularity for Yang-Mills equations in R 4 + 1 (2007) (85)
The Lifespan of Small Data Solutions in Two Dimensional Capillary Water Waves (2014) (84)
Strichartz estimates for partially periodic solutions to Schr (2010) (83)
Global bounds for the cubic nonlinear Schrödinger equation (NLS) in one space dimension (2014) (72)
Dispersive Equations and Nonlinear Waves (2014) (71)
Local wellposedness of Chern-Simons-Schrödinger (2012) (69)
Parametrices and dispersive estimates for Schrödinger operators with variable coefficients (2008) (69)
Carleman Estimates and Unique Continuation for Second Order Parabolic Equations with Nonsmooth Coefficients (2007) (69)
LONG TIME SOLUTIONS FOR A BURGERS-HILBERT EQUATION VIA A MODIFIED ENERGY METHOD (2013) (68)
PHASE SPACE TRANSFORMS AND MICROLOCAL ANALYSIS (2005) (63)
Semiclassical Lp Estimates (2006) (62)
ON THE FEFFERMAN–PHONG INEQUALITY AND RELATED PROBLEMS (2002) (60)
Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system (2000) (58)
Renormalization and blow up for the critical Yang-Mills problem (2008) (54)
Sharp counterexamples in unique continuation for second order elliptic equations (2002) (53)
Unique Continuation Problems for Partial Differential Equations (2004) (53)
Energy and local energy bounds for the 1-d cubic NLS equation in H−14 (2010) (49)
Conserved energies for the cubic nonlinear Schrödinger equation in one dimension (2018) (49)
SEMICLASSICAL L p ESTIMATES (2014) (47)
The Xs θ spaces and unique continuation for solutions to the semilinear wave equation (1996) (47)
Viscosity Solutions for Hamilton-Jacobi Equations with Unbounded Nonlinear Term: A Simplified Approach (1994) (44)
On the 2 d Zakharov system with L 2 Schrödinger data (2009) (43)
Decay estimates for variable coefficient wave equations in exterior domains (2008) (42)
Sharp counterexamples for Strichartz estimates for low regularity metrics (2002) (41)
Equivariant schrödinger maps in two spatial dimensions (2011) (40)
A convolution estimate for two-dimensional hypersurfaces (2008) (40)
Well-posedness and dispersive decay of small data solutions for the Benjamin-Ono equation (2017) (39)
Near soliton evolution for equivariant Schroedinger Maps in two spatial dimensions (2010) (38)
Global Wellposedness in the Energy Space for the Maxwell-Schrödinger System (2007) (38)
Finite Depth Gravity Water Waves in Holomorphic Coordinates (2016) (36)
Dispersive Equations and Nonlinear Waves: Generalized Korteweg–de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps (2014) (33)
Quasilinear Schrödinger equations I: Small data and quadratic interactions (2011) (32)
Pointwise decay for the Maxwell field on black hole space-times (2014) (32)
Local Well-Posedness of the (4 + 1)-Dimensional Maxwell–Klein–Gordon Equation at Energy Regularity (2015) (30)
GLOBAL WELL-POSEDNESS FOR THE MAXWELL-KLEIN GORDON EQUATION IN 4 + 1 DIMENSIONS. SMALL ENERGY. (2012) (30)
Two-dimensional gravity water waves with constant vorticity, I: Cubic lifespan (2015) (29)
Global well-posedness and scattering of the (4+1)-dimensional Maxwell-Klein-Gordon equation (2015) (29)
GLOBAL WELL-POSEDNESS FOR THE YANG-MILLS EQUATION IN 4 + 1 DIMENSIONS (27)
Null Controllability for the Dissipative Semilinear Heat Equation (2002) (26)
Viscosity solutions for the dynamic programming equations (1992) (26)
ON THE EQUATION ✷u = |∇u| 2 IN 5+1 DIMENSIONS (1999) (25)
Quasilinear Schrödinger equations, II: Small data and cubic nonlinearities (2012) (24)
Low regularity a priori bounds for the modified Korteweg-de Vries equation (2012) (24)
On the spectrum of hyperbolic semigroups (1995) (24)
Local Energy Decay for Maxwell Fields Part I: Spherically Symmetric Black-Hole Backgrounds (2013) (23)
Large data local solutions for the derivative NLS equation (2006) (23)
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 (2017) (23)
On the Cauchy problem for the full von Kármán system (1997) (22)
Local energy decay for scalar fields on time dependent non-trapping backgrounds (2017) (22)
The lifespan of small data solutions to the KP-I (2014) (20)
Conserved energies for the cubic NLS in 1-d (2016) (19)
Wave packet parametrices for evolutions governed by pdo’s with rough symbols (2006) (19)
On the equation $\Box u = |\nabla u|^2$ in $5+1$ dimensions (1999) (18)
Unique continuation for second-order parabolic operators at the initial time (2003) (17)
Global well-posedness for the Yang-Mills equation in $4+1$ dimensions. Small energy (2015) (16)
A Phase Space Transform Adapted to the Wave Equation (2007) (16)
A P ] 1 5 N ov 2 01 2 GLOBAL WELL-POSEDNESS FOR THE MAXWELL-KLEIN GORDON EQUATION IN 4 + 1 DIMENSIONS (2012) (16)
Null form estimates for second order hyperbolic operators with rough coefficients (2007) (15)
The threshold conjecture for the energy critical hyperbolic Yang–Mills equation (2017) (15)
Energy dispersed solutions for the (4 + 1)-dimensional Maxwell-Klein-Gordon equation (2015) (15)
The Yang--Mills heat flow and the caloric gauge (2017) (15)
Carleman estimates and unique continuation for the Schroedinger equation (1995) (14)
A codimension-two stable manifold of near soliton equivariant wave maps (2011) (14)
The Hyperbolic Yang–Mills Equation for Connections in an Arbitrary Topological Class (2017) (14)
The threshold theorem for the $(4+1)$-dimensional Yang–Mills equation: An overview of the proof (2017) (14)
The hyperbolic Yang–Mills equation in the caloric gauge : local well-posedness and control of energy-dispersed solutions (2017) (14)
Local well-posedness for quasilinear problems: a primer. (2020) (14)
Strong uniqueness for second order elliptic operators with Gevrey coefficients (2006) (14)
Quasilinear Schrödinger Equations III: Large Data and Short Time (2020) (13)
Uniform Decay Rates and Attractors for Evolution PDE′s with Boundary Dissipation (1995) (13)
Dispersive Estimates for Wave Equations (2005) (12)
Two dimensional gravity waves at low regularity I: Energy estimates (2019) (11)
Equivariant Schrödinger maps in two spatial dimensions: The $\mathbb{H}^{2}$ target (2012) (11)
The compressible Euler equations in a physical vacuum: a comprehensive Eulerian approach (2020) (11)
Slow blow-up solutions for the H^1(R^3) critical focusing semi-linear wave equation in R^3 (2007) (10)
Global Schrödinger maps (2008) (10)
The NLS approximation for two dimensional deep gravity waves (2018) (10)
Recent Results on Unique Continuation for Second Order Elliptic Equations (2001) (9)
Global Schr\"{o}dinger maps (2008) (8)
A Morawetz inequality for water waves (2018) (8)
Two-dimensional gravity waves at low regularity II: Global solutions (2020) (7)
Sharp $L^q$ bounds on spectral clusters for Holder metrics (2007) (7)
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion (2020) (7)
Equivariant Schr\"odinger Maps in two spatial dimensions (2011) (6)
Decay of linear waves on black hole space-times (2015) (6)
Testing by wave packets and modified scattering in nonlinear dispersive pde's (2022) (5)
Subcritical Lp bounds on spectral clusters for Lipschitz metrics (2007) (5)
A P ] 2 N ov 2 01 0 STRICHARTZ ESTIMATES FOR PARTIALLY PERIODIC SOLUTIONS TO SCHRÖDINGER EQUATIONS IN 4 d AND APPLICATIONS (2010) (5)
Dispersive decay of small data solutions for the KdV equation (2019) (4)
The FBI transform, operators with nonsmooth coefficients and the nonlinear wave equation (1999) (4)
Multisolitons for the cubic NLS in 1-d and their stability (2020) (4)
Time dependent $m$-accretive operators generating differential evolutions (1991) (4)
No solitary waves in 2D gravity and capillary waves in deep water (2018) (4)
Boundary value problems for first order Hamilton-Jacobi equations (1992) (4)
On the equivalence between the dynamic programming principle and the dynamic programming equation (1991) (4)
Two Dimensional Water Waves in Holomorphic Coordinates (2016) (3)
Wellposedness and Uniform Decay Rates of Weak Solutions to a von Kármán System with Nonlinear Dissipative Boundary Conditions (1993) (3)
Gradient NLW on curved background in 4+1 dimensions (2008) (3)
Nonlinear Wave Equations (2003) (3)
Boundary Observability and Controllability for Evolutions Governed by Higher Order PDE (1995) (3)
Outgoing parametrices and global Strichartz estimates for Schrödinger equations with variable coefficients (2006) (3)
Sharp Lp Bounds on Spectral Clusters for Lipschitz Metrics (2012) (2)
Functions of bounded p-variation (2014) (2)
Stabilizing second order differential equations (1989) (2)
Local Well-Posedness of Skew Mean Curvature Flow for Small Data in d ≥ 4 Dimensions. (2021) (2)
Local well-posedness for quasi-linear problems: A primer (2022) (2)
Wave maps on (1+2)-dimensional curved spacetimes (2018) (1)
The Wave Equation with Neuman Controls: On Lions’s F Space (1998) (1)
DISPERSIVE ESTIMATES FOR WAVE EQUATIONS WITH ROUGH COEFFICIENTS (2004) (1)
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 (2019) (1)
Nonlinear geometric dispersive equations: an overview (2011) (1)
Dispersive estimates and absence of embedded eigenvalues (2005) (1)
A Morawetz Inequality for Gravity-Capillary Water Waves at Low Bond Number (2019) (1)
Low regularity bounds for mKdV (2012) (1)
BOUNDS ON SPECTRAL CLUSTERS FOR HOLDER METRICS (2006) (1)
The time-like minimal surface equation in Minkowski space: low regularity solutions (2021) (1)
Uniform Decay Rates for Semilinear Wave Equations with Nonlinear and Nonmonotone Boundary Feedback, Without Geometric Conditions (2020) (1)
Key performance indicators evaluation for LTE networks implementation (2014) (1)
Global solutions for 1D cubic defocusing dispersive equations: Part I (2022) (1)
Title Local well-posedness of the ( 4 + 1 )-dimensional (2015) (0)
The energy critical Maxwell-Klein-Gordon equations (2012) (0)
Title Global well-posedness and scattering of the ( 4 + 1 )-dimensional (2015) (0)
No Pure Capillary Solitary Waves Exist in 2D Finite Depth (2021) (0)
Local Well-Posedness of the (4 + 1)-Dimensional Maxwell–Klein–Gordon Equation at Energy Regularity (2016) (0)
Appendix A: Background material (2014) (0)
A P ] 5 M ar 2 01 5 ENERGY DISPERSED SOLUTIONS FOR THE ( 4 + 1 )-DIMENSIONAL MAXWELL-KLEIN-GORDON EQUATION (2015) (0)
The threshold theorem for geometric nonlinear wave equations (2018) (0)
Works Title Two Dimensional Water Waves in Holomorphic Coordinates Permalink (2014) (0)
Frequency-localized interaction Morawetz inequalities and applications (2014) (0)
Stability theory for the energy-critical NLS (2014) (0)
Title Sharp L ^ p bounds on spectral clusters for Lipschitz metrics Permalink (2012) (0)
Communications in Mathematical Physics Strichartz Estimates on Schwarzschild Black Hole Backgrounds (2009) (0)
Morawetz Inequalities for Water Waves (2020) (0)
Maps into manifolds (2014) (0)
Appendic C: The Fourier transform (2014) (0)
Global parametrices and dispersive estimates for variable coefficient wave equations (2011) (0)
Existence of minimal blowup solutions and their properties (2014) (0)
OBERWOLFACH SEMINAR: DISPERSIVE EQUATIONS GEOMETRIC DISPERSIVE EVOLUTIONS (2013) (0)
Strichartz estimates and small data for the nonlinear Schrödinger equation (2014) (0)
Nonlinear Waves and Dispersive Equations (2023) (0)
The NLS approximation for two dimensional deep gravity waves (2019) (0)
Dispersive and Strichartz estimates (2014) (0)
An inverse Strichartz inequality (2014) (0)
Stationary phase and dispersive estimates (2014) (0)
On the Cauchy Problem for the Full Von Kk Armm an System (1996) (0)
Well-posedness for nonlinear dispersive equations (2014) (0)
VIA A MODIFIED ENERGY METHOD (2013) (0)
Local well-posedness of the Skew mean curvature flow for small data in $d\geq 2$ dimensions (2022) (0)
Appendix B: Bessel functions (2014) (0)
The Hyperbolic Yang–Mills Equation for Connections in an Arbitrary Topological Class (2018) (0)
A Palais–Smale type condition (2014) (0)
Title: Schroedinger Maps (2012) (0)
Finite Depth Gravity Water Waves in Holomorphic Coordinates (2017) (0)
Long-time Strichartz estimates and applications (2014) (0)
Long time solutions for 1D cubic dispersive equations, Part II: the focusing case (2022) (0)
Global well-posedness and scattering of the (4+1)-dimensional Maxwell-Klein-Gordon equation (2016) (0)
Works Title Energy dispersed solutions for the ( 4 + 1 )-dimensional (2015) (0)
Local Well-Posedness of Skew Mean Curvature Flow for Small Data in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d\g (2022) (0)
The Lifespan of Small Data Solutions in Two Dimensional Capillary Water Waves (2017) (0)
Index to Volume 136 2014 (2014) (0)
Ju l 2 01 2 LOW REGULARITY A PRIORI BOUNDS FOR THE MODIFIED KORTEWEG (2012) (0)
Appendix A: Young’s inequality and interpolation (2014) (0)
The Benjamin-Ono approximation for 2D gravity water waves with constant vorticity (2021) (0)
Null Structures and Degenerate Dispersion Relations in Two Space Dimensions (2017) (0)
Convolution of measures on hypersurfaces, bilinear estimates, and local smoothing (2014) (0)
Price’s Law on Black Hole Space-Times (2013) (0)
A P ] 2 8 D ec 2 01 1 EQUIVARIANT SCHRÖDINGER MAPS IN TWO SPATIAL DIMENSIONS (2011) (0)
A REGULARITY THEOREM FOR ENERGY CRITICAL WAVE-MAPS (2010) (0)
A large data critical problem (2014) (0)
A ug 2 00 9 DECAY ESTIMATES FOR VARIABLE COEFFICIENT WAVE EQUATIONS IN EXTERIOR DOMAINS (2009) (0)
Title Equivariant schrödinger maps in two spatial dimensions Permalink (0)
Mathematisches Forschungsinstitut Oberwolfach Report No . 44 / 2007 Nonlinear Waves and Dispersive Equations (2008) (0)
Title Subcritical Lp bounds on spectral clusters for Lipschitz metrics Permalink (2013) (0)
Title Conserved energies for the cubic NLS in 1-d Permalink (0)
Title Pointwise decay for the Maxwell field on black hole spacetimes (0)
ON THE INITIAL VALUE PROBLEM FOR THE ZAKHAROV SYSTEM IN 2 (2009) (0)
A linear profile decomposition (2014) (0)

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