| Publication | Date of Publication | Type |
|---|
| New non degenerate invariant measures for the Benjamin-Ono equation | 2024-03-13 | Paper |
| Blow-up for the 1D cubic NLS | 2024-02-01 | Paper |
| Existence, uniqueness, and universality of global dynamics for the fractional hyperbolic $\Phi^4_3$-model | 2023-11-01 | Paper |
| Modified energies for the periodic generalized KdV equation and applications | 2023-10-20 | Paper |
| Nonlinear PDE in the presence of singular randomness | 2023-10-13 | Paper |
| Transport of Gaussian measures with exponential cut-off for Hamiltonian PDEs | 2023-10-05 | Paper |
| A remark on randomization of a general function of negative regularity | 2023-09-28 | Paper |
| Two dimensional nonlinear Schrödinger equation with spatial white noise potential and fourth order nonlinearity | 2023-09-27 | Paper |
| Global dynamics of the \(2d\) NLS with white noise potential and generic polynomial nonlinearity | 2023-07-28 | Paper |
| Growth of Sobolev norms for \(2 d\) NLS with harmonic potential | 2023-07-20 | Paper |
| Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation | 2023-07-18 | Paper |
| Stochastic nonlinear wave dynamics on compact surfaces | 2023-06-19 | Paper |
| \(H^1\) scattering for mass-subcritical NLS with short-range nonlinearity and initial data in \(\Sigma\) | 2023-04-26 | Paper |
| Global well-posedness of the 2D nonlinear Schr\"odinger equation with multiplicative spatial white noise on the full space | 2023-01-25 | Paper |
| Universality results for a class of nonlinear wave equations and their Gibbs measures | 2022-11-08 | Paper |
| Random Data Wave Equations | 2022-09-30 | Paper |
| Quasi-invariant Gaussian measures for the nonlinear wave equation in three dimensions | 2022-07-20 | Paper |
| Probabilistic local Cauchy theory of the cubic nonlinear wave equation in negative Sobolev spaces | 2022-07-08 | Paper |
| Weak universality results for a class of nonlinear wave equations | 2022-06-13 | Paper |
| Uniqueness and non-uniqueness of the Gaussian free field evolution under the two-dimensional Wick ordered cubic wave equation | 2022-06-01 | Paper |
| Growing Sobolev norms for the cubic defocusing Schrödinger equation | 2022-01-17 | Paper |
| $H^1$ scattering for mass-subcritical NLS with short-range nonlinearity and initial data in $\Sigma$ | 2021-11-15 | Paper |
| Quasi-invariance of low regularity Gaussian measures under the gauge map of the periodic derivative NLS | 2021-11-11 | Paper |
| Refined probabilistic global well-posedness for the weakly dispersive NLS | 2021-09-29 | Paper |
| On the Nonlinear Wave Equation with Time-periodic Potential | 2021-08-13 | Paper |
| On the asymptotic behavior of high order moments for a family of Schrödinger equations | 2021-07-19 | Paper |
| Concerning the pathological set in the context of probabilistic well-posedness | 2021-01-21 | Paper |
| Solving the 4NLS with white noise initial data | 2020-11-20 | Paper |
| Gibbs Measure Dynamics for the Fractional NLS | 2020-09-30 | Paper |
| Transport of Gaussian measures by the flow of the nonlinear Schrödinger equation | 2020-09-22 | Paper |
| Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation | 2020-05-07 | Paper |
| Stochastic quantization of Liouville conformal field theory | 2020-04-08 | Paper |
| Polynomial bounds on the Sobolev norms of the solutions of the nonlinear wave equation with time dependent potential | 2020-01-16 | Paper |
| New examples of probabilistic well-posedness for nonlinear wave equations | 2019-11-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5231143 | 2019-08-23 | Paper |
| On the periodic Zakharov-Kuznetsov equation | 2019-06-20 | Paper |
| Quasi-invariant Gaussian measures for the cubic nonlinear Schrödinger equation with third-order dispersion | 2019-06-14 | Paper |
| An optimal regularity result on the quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation | 2018-12-04 | Paper |
| Remarks on the Gibbs measures for nonlinear dispersive equations | 2018-11-15 | Paper |
| Transverse stability issues in Hamiltonian PDE | 2018-11-14 | Paper |
| Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation | 2017-11-30 | Paper |
| On the growth of Sobolev norms for NLS on 2- and 3-dimensional manifolds | 2017-07-07 | Paper |
| The Cauchy Problem for the Nonlinear Schrödinger Equation on a Compact Manifold | 2017-05-30 | Paper |
| Well-posedness and scattering for nonlinear Schrödinger equations on \(\mathbb{R}^d \times \mathbb{T}\) in the energy space | 2017-03-13 | Paper |
| On the transport of Gaussian measures under the flow of Hamiltonian PDEs | 2017-03-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2990278 | 2016-07-29 | Paper |
| On the regularity of the flow map associated with the 1D cubic periodic half-wave equation. | 2016-04-01 | Paper |
| QUASIINVARIANT GAUSSIAN MEASURES FOR ONE-DIMENSIONAL HAMILTONIAN PARTIAL DIFFERENTIAL EQUATIONS | 2016-01-25 | Paper |
| Invariant measures and long time behaviour for the Benjamin-Ono equation. III | 2015-09-21 | Paper |
| MODIFIED SCATTERING FOR THE CUBIC SCHRÖDINGER EQUATION ON PRODUCT SPACES AND APPLICATIONS | 2015-08-27 | Paper |
| Multi-solitons and Related Solutions for the Water-waves System | 2015-07-21 | Paper |
| Weakly nonlinear surface waves | 2015-07-10 | Paper |
| Strichartz Estimates for Non-Elliptic Schrödinger Equations on Compact Manifolds | 2015-06-22 | Paper |
| Global infinite energy solutions for the cubic wave equation | 2015-06-16 | Paper |
| Quasi-invariant gaussian measures for one dimensional Hamiltonian PDE's | 2015-06-11 | Paper |
| $L^2$-stability of solitary waves for the KdV equation via Pego and Weinstein's method | 2015-03-16 | Paper |
| Invariant measures and long time behaviour for the Benjamin-Ono equation. II. | 2014-11-28 | Paper |
| Invariant Measures and Long-Time Behavior for the Benjamin–Ono Equation | 2014-10-21 | Paper |
| Global regularity for the energy-critical NLS on \(\mathbb S^3\) | 2014-09-24 | Paper |
| Long time dynamics for the one dimensional non linear Schrödinger equation | 2014-08-06 | Paper |
| The nonlinear Schrödinger equation ground states on product spaces | 2014-07-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5494580 | 2014-07-28 | Paper |
| On the propagation of weakly nonlinear random dispersive waves | 2014-06-06 | Paper |
| Strichartz estimates for partially periodic solutions to Schrödinger equations in \(4d\) and applications | 2014-05-16 | Paper |
| Probabilistic well-posedness for the cubic wave equation | 2014-02-21 | Paper |
| Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation | 2013-10-18 | Paper |
| Oscillatory integral estimates and global well-posedness for the 2D Boussinesq equation | 2013-01-03 | Paper |
| Strichartz estimates for the periodic non-elliptic Schrödinger equation | 2012-12-13 | Paper |
| Stability and instability of the KdV solitary wave under the KP-I flow | 2012-08-13 | Paper |
| Small Data Scattering for the Nonlinear Schrödinger Equation on Product Spaces | 2012-04-21 | Paper |
| Stability of the line soliton of the KP-II equation under periodic transverse perturbations | 2012-02-22 | Paper |
| Global well-posedness for the KP-II equation on the background of a non-localized solution | 2011-10-28 | Paper |
| Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in \(H^1(\mathbb T^3)\) | 2011-09-14 | Paper |
| A simple criterion of transverse linear instability for solitary waves | 2011-08-09 | Paper |
| Ill-posedness of nonlocal Burgers equations | 2011-07-08 | Paper |
| Transverse instability of the line solitary water-waves | 2011-05-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3074321 | 2011-02-08 | Paper |
| Gibbs measure for the periodic derivative nonlinear Schrödinger equation | 2010-11-24 | Paper |
| On the transverse instability of one dimensional capillary-gravity waves | 2010-06-02 | Paper |
| High frequency solutions of the nonlinear Schrödinger equation on surfaces | 2010-03-22 | Paper |
| Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation | 2010-02-09 | Paper |
| Transverse nonlinear instability for two-dimensional dispersive models | 2009-04-16 | Paper |
| Sharp well-posedness results for the BBM equation | 2009-03-03 | Paper |
| Invariant measures for the defocusing nonlinear Schrödinger equation | 2009-02-10 | Paper |
| Transverse nonlinear instability of solitary waves for some Hamiltonian PDE's | 2009-01-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3532271 | 2008-11-03 | Paper |
| Random data Cauchy theory for supercritical wave equations. II. A global existence result | 2008-08-21 | Paper |
| Random data Cauchy theory for supercritical wave equations I: Local theory | 2008-08-21 | Paper |
| $L^p$ properties for Gaussian random series | 2008-08-07 | Paper |
| On global Strichartz estimates for non-trapping metrics | 2008-04-22 | Paper |
| Remarks on the Mass Constraint for KP-Type Equations | 2008-03-27 | Paper |
| Invariant measures for the nonlinear Schrödinger equation on the disc | 2008-03-06 | Paper |
| Invariant Measure for a Three Dimensional Nonlinear Wave Equation | 2008-01-30 | Paper |
| Strichartz estimates for long range perturbations | 2008-01-14 | Paper |
| On finite energy solutions of the KP-I equation | 2007-12-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5430046 | 2007-12-05 | Paper |
| Global well-posedness for the KP-I equation on the background of a non-localized solution | 2007-10-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5294572 | 2007-07-25 | Paper |
| Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds | 2007-07-20 | Paper |
| Invariant measures for the defocusing NLS | 2007-01-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5714604 | 2006-01-03 | Paper |
| A smoothing effect and polynomial growth of the Sobolev norms for the KP-II equation | 2005-12-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5695382 | 2005-10-12 | Paper |
| Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations | 2005-09-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5316238 | 2005-09-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4663135 | 2005-03-30 | Paper |
| Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces | 2005-02-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4831543 | 2005-01-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4831567 | 2005-01-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4831690 | 2005-01-03 | Paper |
| Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds | 2005-01-03 | Paper |
| On nonlinear Schrödinger equations in exterior domains | 2004-11-23 | Paper |
| Correction: ``Global well-posedness for the KP-I equation | 2004-07-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4467758 | 2004-06-10 | Paper |
| Multilinear estimates for the Laplace spectral projectors on compact manifolds. | 2004-03-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4808272 | 2003-10-14 | Paper |
| Multilinear eigenfunction estimates for the Laplace spectral projectors on compact manifolds | 2003-10-02 | Paper |
| Two singular dynamics of the nonlinear Schrödinger equation on a plane domain | 2003-08-27 | Paper |
| Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation | 2003-06-29 | Paper |
| Global well-posedness for the KP-I equation | 2002-12-01 | Paper |
| An instability property of the nonlinear Schrödinger equation on \(S^d\) | 2002-11-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3150080 | 2002-09-29 | Paper |
| Ill-Posedness Issues for the Benjamin--Ono and Related Equations | 2002-04-08 | Paper |
| On periodic KP-I type equations | 2002-01-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2708377 | 2002-01-17 | Paper |
| On a model system for the oblique interaction of internal gravity waves | 2001-07-09 | Paper |
| Global low-regularity solutions for Kadomtsev-Petviashvili equation | 2001-06-14 | Paper |
| Low regularity solutions for a generalized Zakharov system | 2001-06-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3150051 | 2001-01-01 | Paper |
| On 2D nonlinear Schrödinger equations with data on \(\mathbb{R} \times \mathbb{T}\) | 2001-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4504265 | 2000-09-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4951068 | 2000-07-19 | Paper |
| The Cauchy problem for the fifth order KP equations | 2000-06-22 | Paper |
| Remark on the local ill-posedness for KdV equation | 2000-04-10 | Paper |
| Existence of global solutions to nonlinear massless Dirac system and wave equation with small data | 2000-01-04 | Paper |
| On the cauchy problem for kadomtsev-petviashvili equation | 1999-11-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4700333 | 1999-11-01 | Paper |
| The Cauchy problem for higher-order KP equations | 1999-05-25 | Paper |
| Remarque sur la régularité locale de l'équation de Kadomtsev-Petviashvili-II | 1999-02-03 | Paper |