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Global Regularity of Skew Mean Curvature Flow for Small Data in d ≥ 4 Dimensions.
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- IMRN: International Mathematics Research Notices, 2024, v. 2024, n. 5, p. 3748, doi. 10.1093/imrn/rnad104
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- Article
The time-like minimal surface equation in Minkowski space: low regularity solutions.
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- Inventiones Mathematicae, 2024, v. 235, n. 3, p. 745, doi. 10.1007/s00222-023-01231-3
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Local Well-Posedness of the Skew Mean Curvature Flow for Small Data in d≧2 Dimensions.
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- Archive for Rational Mechanics & Analysis, 2024, v. 248, n. 1, p. 1, doi. 10.1007/s00205-023-01952-y
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Testing by wave packets and modified scattering in nonlinear dispersive pde's.
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- Transactions of the American Mathematical Society, Series B, 2024, v. 11, p. 164, doi. 10.1090/btran/148
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- Article
Global solutions for 1D cubic defocusing dispersive equations: Part I.
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- Forum of Mathematics, Pi, 2023, v. 11, p. 1, doi. 10.1017/fmp.2023.30
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Local well-posedness for quasi-linear problems: A primer.
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- Bulletin (New Series) of the American Mathematical Society, 2023, v. 60, n. 2, p. 167, doi. 10.1090/bull/1775
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- Article
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion.
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- Archive for Rational Mechanics & Analysis, 2022, v. 245, n. 1, p. 127, doi. 10.1007/s00205-022-01783-3
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A MORAWETZ INEQUALITY FOR WATER WAVES.
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- American Journal of Mathematics, 2022, v. 144, n. 3, p. 607, doi. 10.1353/ajm.2022.0013
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- Article
Local Well-Posedness of Skew Mean Curvature Flow for Small Data in d≥4 Dimensions.
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- Communications in Mathematical Physics, 2022, v. 389, n. 3, p. 1569, doi. 10.1007/s00220-021-04303-8
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- Article
Quasilinear Schrödinger Equations III: Large Data and Short Time.
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- Archive for Rational Mechanics & Analysis, 2021, v. 242, n. 2, p. 1119, doi. 10.1007/s00205-021-01701-z
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Null Structures and Degenerate Dispersion Relations in Two Space Dimensions.
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- IMRN: International Mathematics Research Notices, 2021, v. 2021, n. 10, p. 7299, doi. 10.1093/imrn/rnz033
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- Article
LOCAL ENERGY DECAY FOR SCALAR FIELDS ON TIME DEPENDENT NON-TRAPPING BACKGROUNDS.
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- American Journal of Mathematics, 2020, v. 142, n. 3, p. 821, doi. 10.1353/ajm.2020.0019
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- Article
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.
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- Inventiones Mathematicae, 2020, v. 220, n. 2, p. 395, doi. 10.1007/s00222-019-00930-0
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- Article
THE THRESHOLD THEOREM FOR THE (4+1)-DIMENSIONAL YANG-MILLS EQUATION: AN OVERVIEW OF THE PROOF.
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- Bulletin (New Series) of the American Mathematical Society, 2019, v. 56, n. 2, p. 171, doi. 10.1090/bull/1640
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The Hyperbolic Yang-Mills Equation for Connections in an Arbitrary Topological Class.
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- Communications in Mathematical Physics, 2019, v. 365, n. 2, p. 685, doi. 10.1007/s00220-018-3205-x
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ENERGY DISPERSED SOLUTIONS FOR THE (4+1)-DIMENSIONAL MAXWELL-KLEIN-GORDON EQUATION.
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- American Journal of Mathematics, 2018, v. 140, n. 1, p. 1, doi. 10.1353/ajm.2018.0000
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- Article
The Lifespan of Small Data Solutions in Two Dimensional Capillary Water Waves.
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- Archive for Rational Mechanics & Analysis, 2017, v. 225, n. 3, p. 1279, doi. 10.1007/s00205-017-1126-z
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- Article
The Lifespan of Small Data Solutions to the KP-I.
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- IMRN: International Mathematics Research Notices, 2017, v. 2017, n. 1, p. 1, doi. 10.1093/imrn/rnw017
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- Article
Two Dimensional Water Waves in Holomorphic Coordinates.
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- Communications in Mathematical Physics, 2016, v. 346, n. 2, p. 483, doi. 10.1007/s00220-016-2708-6
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Global well-posedness and scattering of the (4+1)-dimensional Maxwell-Klein-Gordon equation.
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- Inventiones Mathematicae, 2016, v. 205, n. 3, p. 781, doi. 10.1007/s00222-016-0646-8
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- Article
Local Energy Decay for Maxwell Fields Part I: Spherically Symmetric Black-Hole Backgrounds.
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- IMRN: International Mathematics Research Notices, 2015, v. 2015, n. 11, p. 3298, doi. 10.1093/imrn/rnu034
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SHARP L<sup>p</sup> BOUNDS ON SPECTRAL CLUSTERS FOR LIPSCHITZ METRICS.
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- American Journal of Mathematics, 2014, v. 136, n. 6, p. 1629, doi. 10.1353/ajm.2014.0039
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Local Wellposedness of Chern–Simons–Schrödinger.
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- IMRN: International Mathematics Research Notices, 2014, v. 2014, n. 23, p. 6341, doi. 10.1093/imrn/rnt161
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Strichartz estimates for partially periodic solutions to Schrödinger equations in and applications.
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- Journal für die Reine und Angewandte Mathematik, 2014, v. 2014, n. 690, p. 65, doi. 10.1515/crelle-2012-0013
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- Article
Local decay of waves on asymptotically flat stationary space-times.
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- American Journal of Mathematics, 2013, v. 135, n. 2, p. 361, doi. 10.1353/ajm.2013.0012
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Global parametrices and dispersive estimates for variable coefficient wave equations.
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- Mathematische Annalen, 2012, v. 353, n. 4, p. 1183, doi. 10.1007/s00208-011-0714-8
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- Article
A Local Energy Estimate on Kerr Black Hole Backgrounds.
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- IMRN: International Mathematics Research Notices, 2011, v. 2011, n. 2, p. 248, doi. 10.1093/imrn/rnq069
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- Article
Energy Dispersed Large Data Wave Maps in 2 + 1 Dimensions.
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- Communications in Mathematical Physics, 2010, v. 298, n. 1, p. 139, doi. 10.1007/s00220-010-1061-4
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- Article
Regularity of Wave-Maps in Dimension 2 + 1.
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- Communications in Mathematical Physics, 2010, v. 298, n. 1, p. 231, doi. 10.1007/s00220-010-1062-3
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Strichartz Estimates on Schwarzschild Black Hole Backgrounds.
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- Communications in Mathematical Physics, 2010, v. 293, n. 1, p. 37, doi. 10.1007/s00220-009-0940-z
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- Article
Global Wellposedness in the Energy Space for the Maxwell-Schrödinger System.
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- Communications in Mathematical Physics, 2009, v. 288, n. 1, p. 145, doi. 10.1007/s00220-009-0765-9
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- Article
PARAMETRICES AND DISPERSIVE ESTIMATES FOR SCHRÖDINGER OPERATORS WITH VARIABLE COEFFICIENTS.
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- American Journal of Mathematics, 2008, v. 130, n. 3, p. 571, doi. 10.1353/ajm.0.0000
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- Article
Gradient NLW on Curved Background in 4+1 Dimensions.
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- IMRN: International Mathematics Research Notices, 2008, v. 2008, p. 1, doi. 10.1093/imrn/rnn108
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- Article
A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces.
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- IMRN: International Mathematics Research Notices, 2007, v. 2007, p. 1, doi. 10.1093/imrn/rnm053
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- Article
Carleman Estimates and Absence of Embedded Eigenvalues.
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- Communications in Mathematical Physics, 2006, v. 267, n. 2, p. 419, doi. 10.1007/s00220-006-0060-y
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- Article
ROUGH SOLUTIONS FOR THE WAVE MAPS EQUATION.
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- American Journal of Mathematics, 2005, v. 127, n. 2, p. 293, doi. 10.1353/ajm.2005.0014
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Dispersive estimates for principally normal pseudodifferential operators.
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- Communications on Pure & Applied Mathematics, 2005, v. 58, n. 2, p. 217, doi. 10.1002/cpa.20067
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THE WAVE MAPS EQUATION.
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- Bulletin (New Series) of the American Mathematical Society, 2004, v. 41, n. 2, p. 185, doi. 10.1090/S0273-0979-04-01005-5
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- Article
Null Controllability for the Dissipative Semilinear Heat Equation.
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- Applied Mathematics & Optimization, 2002, v. 46, n. 2/3, p. 97, doi. 10.1007/s00245-002-0746-2
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- Article
STRICHARTZ ESTIMATES FOR SECOND ORDER HYPERBOLIC OPERATORS WITH NONSMOOTH COEFFICIENTS, II.
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- American Journal of Mathematics, 2001, v. 123, n. 3, p. 385, doi. 10.1353/ajm.2001.0021
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Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients.
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- Communications on Pure & Applied Mathematics, 2001, v. 54, n. 3, p. 339, doi. 10.1002/1097-0312(200103)54:3<339::AID-CPA3>3.0.CO;2-D
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Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation.
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- American Journal of Mathematics, 2000, v. 122, n. 2, p. 349, doi. 10.1353/ajm.2000.0014
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