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Solitons and Scattering for the Cubic-Quintic Nonlinear Schrödinger Equation on $${\mathbb{R}^3}$$.
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- Archive for Rational Mechanics & Analysis, 2017, v. 225, n. 1, p. 469, doi. 10.1007/s00205-017-1109-0
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- Article
HIGHER ORDER EXPANSIONS FOR THE PROBABILISTIC LOCAL CAUCHY THEORY OF THE CUBIC NONLINEAR SCHRÖDINGER EQUATION ON R³.
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- Transactions of the American Mathematical Society, Series B, 2019, v. 6, n. 4, p. 114, doi. 10.1090/btran/29
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ON THE PROBABILISTIC CAUCHY THEORY OF THE CUBIC NONLINEAR SCHRÖDINGER EQUATION ON ℝ<sup>d</sup>, d ≥ 3.
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- Transactions of the American Mathematical Society, Series B, 2015, p. 1, doi. 10.1090/btran/6
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- Article
Intermediate long wave equation in negative Sobolev spaces.
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- Proceedings of the American Mathematical Society, Series B, 2024, v. 11, p. 452, doi. 10.1090/bproc/206
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On the local linearization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing.
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- Proceedings of the American Mathematical Society, Series B, 2024, v. 11, p. 378, doi. 10.1090/bproc/226
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LINEAR AND BILINEAR T(b) THEOREMS À LA STEIN.
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- Proceedings of the American Mathematical Society, Series B, 2015, v. 2, n. 1, p. 1, doi. 10.1090/bproc/18
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- Article
On global well-posedness of the modified KdV equation in modulation spaces.
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- Discrete & Continuous Dynamical Systems: Series A, 2021, v. 41, n. 6, p. 2971, doi. 10.3934/dcds.2020393
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On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities.
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- Discrete & Continuous Dynamical Systems: Series A, 2019, v. 39, n. 6, p. 3479, doi. 10.3934/dcds.2019144
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- Article
Discrete Bilinear Operators and Commutators.
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- Journal of Geometric Analysis, 2023, v. 33, n. 3, p. 1, doi. 10.1007/s12220-022-01136-2
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- Article
Poincaré-Dulac Normal Form Reduction for Unconditional Well-Posedness of the Periodic Cubic NLS.
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- Communications in Mathematical Physics, 2013, v. 322, n. 1, p. 19, doi. 10.1007/s00220-013-1755-5
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- Article
Invariance of the White Noise for KdV.
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- Communications in Mathematical Physics, 2009, v. 292, n. 1, p. 217, doi. 10.1007/s00220-009-0856-7
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- Article
DIOPHANTINE CONDITIONS IN GLOBAL WELL-POSEDNESS FOR COUPLED KDV-TYPE SYSTEMS.
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- Electronic Journal of Differential Equations, 2009, v. 2009, p. 1
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Global Dynamics for the Two-dimensional Stochastic Nonlinear Wave Equations.
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- IMRN: International Mathematics Research Notices, 2022, v. 2022, n. 21, p. 16954, doi. 10.1093/imrn/rnab084
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Non-Existence of Solutions for the Periodic Cubic NLS below L².
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- IMRN: International Mathematics Research Notices, 2018, v. 2018, n. 6, p. 1656, doi. 10.1093/imrn/rnw271
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- Article
Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation.
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- Probability Theory & Related Fields, 2017, v. 169, n. 3/4, p. 1121, doi. 10.1007/s00440-016-0748-7
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BEST CONSTANTS FOR CERTAIN MULTILINEAR INTEGRAL OPERATORS.
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- Journal of Inequalities & Applications, 2006, v. 2006, p. 1, doi. 10.1155/JIA/2006/28582
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STOCHASTIC NONLINEAR SCHRÖDINGER EQUATION WITH ALMOST SPACE–TIME WHITE NOISE.
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- Journal of the Australian Mathematical Society, 2020, v. 109, n. 1, p. 44, doi. 10.1017/S1446788719000156
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- Article
Strichartz estimates for Schrödinger equations on irrational tori.
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- Proceedings of the London Mathematical Society, 2014, v. 109, n. 4, p. 975, doi. 10.1112/plms/pdu025
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- Article
Paracontrolled approach to the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity.
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- Journal of the European Mathematical Society (EMS Publishing), 2024, v. 26, n. 3, p. 817, doi. 10.4171/JEMS/1294
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Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation.
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- Journal of the European Mathematical Society (EMS Publishing), 2020, v. 22, n. 6, p. 1785, doi. 10.4171/JEMS/956
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Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS.
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- Journal of the European Mathematical Society (EMS Publishing), 2012, v. 14, n. 4, p. 1275, doi. 10.4171/JEMS/333
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Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus.
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- Inventiones Mathematicae, 2022, v. 227, n. 3, p. 1323, doi. 10.1007/s00222-021-01080-y
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Invariant Gibbs dynamics for the dynamical sine-Gordon model.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2021, v. 151, n. 5, p. 1450, doi. 10.1017/prm.2020.68
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GLOBAL EXISTENCE FOR THE DEFOCUSING NONLINEAR SCHRÖDINGER EQUATIONS WITH LIMIT PERIODIC INITIAL DATA.
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- Communications on Pure & Applied Analysis, 2015, v. 14, n. 4, p. 1563, doi. 10.3934/cpaa.2015.14.1563
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On the ill-posedness of the cubic nonlinear Schrödinger equation on the circle.
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- Analele Ştiinţifice ale Universităţii 'Al.I. Cuza' din Iaşi. Matematică, 2018, v. 64, n. 1, p. 53
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On Unconditional Well-Posedness of Modified KdV.
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- IMRN: International Mathematics Research Notices, 2012, v. 2012, n. 15, p. 3509, doi. 10.1093/imrn/rnr156
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Diophantine Conditions in Well-Posedness Theory of Coupled KdV-Type Systems: Local Theory.
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- IMRN: International Mathematics Research Notices, 2009, v. 2009, n. 18, p. 3516, doi. 10.1093/imrn/rnp063
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On the Parabolic and Hyperbolic Liouville Equations.
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- Communications in Mathematical Physics, 2021, v. 387, n. 3, p. 1281, doi. 10.1007/s00220-021-04125-8
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Global dynamics for the stochastic KdV equation with white noise as initial data.
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- Transactions of the American Mathematical Society, Series B, 2024, v. 11, p. 420, doi. 10.1090/btran/178
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On a Class of Bilinear Pseudodifferential Operators.
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- Journal of Function Spaces & Applications, 2013, p. 1, doi. 10.1155/2013/560976
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