| Publication | Date of Publication | Type |
|---|
| Blow-up for the 1D cubic NLS | 2024-02-01 | Paper |
| Evolution of viscous vortex filaments and desingularization of the Biot-Savart integral | 2023-11-20 | Paper |
| Eigenvalue curves for generalized MIT bag models | 2023-04-19 | Paper |
| Unbounded growth of the energy density associated to the Schrödinger map and the binormal flow | 2023-03-21 | Paper |
| New Conservation Laws and Energy Cascade for 1d Cubic NLS and the Schr\"odinger map | 2023-03-15 | Paper |
| Steady solutions for the Schr\"odinger map equation | 2023-02-07 | Paper |
| Riemann's non-differentiable function and the binormal curvature flow | 2022-04-21 | Paper |
| The Frisch--Parisi formalism for fluctuations of the Schr\"odinger equation | 2022-02-14 | Paper |
| Self-Similar Dynamics for the Modified Korteweg–de Vries Equation | 2022-01-12 | Paper |
| Eigenvalue curves for generalized MIT bag models | 2021-06-15 | Paper |
| Evolution of polygonal lines by the binormal flow | 2021-03-23 | Paper |
| Unbounded growth of the energy density associated to the Schr\"odinger map and the binormal flow | 2021-03-23 | Paper |
| Bilinear identities involving thek-plane transform and Fourier extension operators | 2021-03-01 | Paper |
| On the energy of critical solutions of the binormal flow | 2020-11-09 | Paper |
| On the unique continuation of solutions to non-local non-linear dispersive equations | 2020-11-09 | Paper |
| On the improvement of the Hardy inequality due to singular magnetic fields | 2020-09-29 | Paper |
| Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation | 2020-04-21 | Paper |
| A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator | 2020-03-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5208347 | 2020-01-15 | Paper |
| Uniqueness properties of solutions to the Benjamin-Ono equation and related models | 2020-01-10 | Paper |
| Carleman type inequalities for fractional relativistic operators | 2019-09-22 | Paper |
| Some Lower Bounds for Solutions of Schrödinger Evolutions | 2019-08-26 | Paper |
| On the relationship between the one-corner problem and the \(M\)-corner problem for the vortex filament equation | 2018-12-06 | Paper |
| Absence of eigenvalues of two-dimensional magnetic Schrödinger operators | 2018-09-06 | Paper |
| Erratum: “Self-adjoint extensions of Dirac operators with Coulomb type singularity” [J. Math. Phys. 54, 041504 (2013)] | 2018-08-27 | Paper |
| Singularity formation for the 1-D cubic NLS and the Schrödinger map on \(\mathbb{S}^2\) | 2018-08-22 | Paper |
| A strategy for self-adjointness of Dirac operators: applications to the MIT bag model and \(\delta\)-shell interactions | 2018-08-16 | Paper |
| On the regularity of solutions to the 𝑘-generalized Korteweg-de Vries equation | 2018-07-17 | Paper |
| Spectral stability of Schrödinger operators with subordinated complex potentials | 2018-07-02 | Paper |
| Shell interactions for Dirac operators | 2017-11-22 | Paper |
| Uniqueness properties for discrete equations and Carleman estimates | 2017-05-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2969018 | 2017-03-22 | Paper |
| Hardy uncertainty principle, convexity and parabolic evolutions | 2017-02-01 | Paper |
| A strategy for self-adjointness of Dirac operators: Applications to the MIT bag model and delta-shell interactions | 2016-12-21 | Paper |
| An isoperimetric-type inequality for electrostatic shell interactions for Dirac operators | 2016-06-10 | Paper |
| The initial value problem for the binormal flow with rough data | 2016-02-19 | Paper |
| The Evolution of the Local Induction Approximation for a Regular Polygon | 2016-01-29 | Paper |
| The vortex filament equation as a pseudorandom generator | 2015-07-28 | Paper |
| The dynamics of vortex filaments with corners | 2015-06-26 | Paper |
| Erratum to: ``Relativistic Hardy inequalities in magnetic fields | 2015-06-26 | Paper |
| Shell Interactions for Dirac Operators: On the Point Spectrum and the Confinement | 2015-05-26 | Paper |
| Vortex filament equation for a regular polygon | 2015-01-05 | Paper |
| A theorem of Paley-Wiener type for Schrödinger evolutions | 2014-12-12 | Paper |
| Shell interactions for Dirac operators | 2014-09-12 | Paper |
| Selfsimilar solutions of the binormal flow and their stability | 2014-07-03 | Paper |
| Discrete conservation laws and the convergence of long time simulations of the mKdV equation | 2014-07-01 | Paper |
| Relativistic Hardy inequalities in magnetic fields | 2014-06-20 | Paper |
| Stability of the self-similar dynamics of a vortex filament | 2014-02-24 | Paper |
| Self-adjoint extensions of Dirac operators with Coulomb type singularity | 2014-02-24 | Paper |
| The forward problem for the electromagnetic Helmholtz equation with critical singularities | 2014-01-08 | Paper |
| On the stability of self-similar solutions of 1D cubic Schrödinger equations | 2013-05-30 | Paper |
| Scattering for solutions of NLS in the exterior of a 2D star-shaped obstacle | 2013-05-24 | Paper |
| Carleman estimates and necessary conditions for the existence of waveguides | 2013-04-25 | Paper |
| The Gardner equation and the 𝐿²-stability of the 𝑁-soliton solution of the Korteweg-de Vries equation | 2013-04-10 | Paper |
| Uniqueness properties of solutions to Schrödinger equations | 2013-01-10 | Paper |
| Lower bounds for non-trivial travelling wave solutions of equations of KdV type | 2012-06-01 | Paper |
| The Hardy uncertainty principle revisited | 2012-04-10 | Paper |
| Existence of maximizers for Sobolev-Strichartz inequalities | 2012-03-02 | Paper |
| Scattering for 1D cubic NLS and singular vortex dynamics | 2012-01-09 | Paper |
| Unique continuation for Schrödinger evolutions, with applications to profiles of concentration and traveling waves | 2011-08-16 | Paper |
| On the existence of maximizers for a family of restriction theorems | 2011-08-16 | Paper |
| Uncertainty principle of Morgan type and Schrödinger evolutions | 2011-02-09 | Paper |
| The sharp Hardy uncertainty principle for Schrödinger evolutions | 2010-11-15 | Paper |
| A Numerical Study of the Self-Similar Solutions of the Schrödinger Map | 2010-09-06 | Paper |
| Endpoint Strichartz estimates for the magnetic Schrödinger equation | 2010-05-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3559346 | 2010-05-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3560550 | 2010-05-14 | Paper |
| Stability in 𝐿¹ of circular vortex patches | 2009-11-24 | Paper |
| Local well-posedness for the modified KdV equation in almost critical $\widehat {H^r_s}$-spaces | 2009-11-06 | Paper |
| On the stability of a singular vortex dynamics | 2009-09-25 | Paper |
| Bilinear virial identities and applications | 2009-06-12 | Paper |
| Weak Dispersive Estimates for Schrödinger Equations with Long Range Potentials | 2009-05-20 | Paper |
| The effect of surface tension on the Moore singularity of vortex sheet dynamics | 2009-05-08 | Paper |
| Magnetic virial identities, weak dispersion and Strichartz inequalities | 2009-04-27 | Paper |
| Convexity properties of solutions to the free Schrödinger equation with Gaussian decay | 2009-02-10 | Paper |
| Asymptotic lower bounds for a class of Schrödinger equations | 2009-01-12 | Paper |
| Hardy's uncertainty principle, convexity and Schrödinger evolutions | 2008-11-12 | Paper |
| Scaling-sharp dispersive estimates for the Korteweg-de Vries group | 2008-09-10 | Paper |
| On the equipartition of energy for the critical \(NLW\) | 2008-09-01 | Paper |
| On the Dirac delta as initial condition for nonlinear Schrödinger equations | 2008-08-06 | Paper |
| Hardy-type estimates for Dirac operators | 2008-06-19 | Paper |
| Bounds for the maximal function associated to periodic solutions of one-dimensional dispersive equations | 2008-04-25 | Paper |
| Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity | 2008-04-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5447234 | 2008-03-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5439462 | 2008-02-11 | Paper |
| Schrodinger Maps and their Associated Frame Systems | 2007-12-10 | Paper |
| On the local smoothing for a class of conformally invariant Schrodinger equations | 2007-11-27 | Paper |
| Some weighted Gagliardo-Nirenberg inequalities and applications | 2007-06-19 | Paper |
| On uniqueness properties of solutions of the \(k\)-generalized KdV equations | 2007-05-10 | Paper |
| Self-similar planar curves related to modified Korteweg-de Vries equation | 2007-04-19 | Paper |
| Decay at infinity of caloric functions within characteristic hyperplanes | 2007-02-15 | Paper |
| Uniqueness properties of solutions of Schrödinger equations | 2007-02-15 | Paper |
| Pointwise convergence of solutions to the nonelliptic Schr\"odinger equation | 2007-02-13 | Paper |
| On the local smoothing for the Schrödinger equation | 2007-02-01 | Paper |
| The general quasilinear ultrahyperbolic Schrödinger equation | 2006-11-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5490988 | 2006-09-26 | Paper |
| Counterexamples of Strichartz inequalities for Schrodinger equations with repulsive potentials | 2006-07-10 | Paper |
| Some dispersive estimates for Schrödinger equations with repulsive potentials | 2006-06-30 | Paper |
| Uniqueness properties of solutions of Schrödinger equations | 2006-04-28 | Paper |
| Variable coefficient Schrödinger flows for ultrahyperbolic operators | 2005-10-10 | Paper |
| On the interaction of nearly parallel vortex filaments | 2005-10-05 | Paper |
| On unique continuation of solutions of Schr\"odinger equations | 2005-09-08 | Paper |
| A real space method for averaging lemmas | 2005-05-04 | Paper |
| Self-similar solutions of the localized induction approximation: singularity formation | 2005-02-28 | Paper |
| The Cauchy problem for quasi-linear Schrödinger equations | 2005-02-02 | Paper |
| An analytical proof of Hardy-like inequalities related to the Dirac operator | 2004-11-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4471409 | 2004-07-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4474877 | 2004-07-22 | Paper |
| On the unique continuation of solutions to the generalized KdV equation | 2004-05-18 | Paper |
| Energy concentration and Sommerfeld condition for Helmholtz and Liouville equations. | 2004-01-28 | Paper |
| Averaging lemmas and the X-ray transform | 2003-12-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4795902 | 2003-10-19 | Paper |
| On unique continuation for nonlinear Schrödinger equations | 2003-09-15 | Paper |
| Formation of Singularities and Self-Similar Vortex Motion Under the Localized Induction Approximation† | 2003-06-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3150093 | 2003-03-20 | Paper |
| Sommerfeld condition for a Liouville equation and concentration of trajectories | 2003-01-01 | Paper |
| On the support of solutions to the generalized KdV equation | 2002-12-19 | Paper |
| On the ill-posedness of some canonical dispersive equations. | 2002-10-27 | Paper |
| Carleman inequalities and the heat operator II | 2002-08-14 | Paper |
| Global wellposedness for 1D nonlinear Schrödinger equation for data with an infinite \(L^2\) norm | 2002-07-24 | Paper |
| A NOTE ON THE NONLINEAR SCHRÖDINGER EQUATION IN WEAK LpSPACES | 2002-05-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4523974 | 2001-10-10 | Paper |
| Global well-posedness for semi-linear wave equations | 2001-05-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4943985 | 2001-02-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4523705 | 2001-01-14 | Paper |
| On the initial value problem for the Ishimori system | 2000-12-04 | Paper |
| Restriction theorems and maximal operators related to oscillatory integrals in \(\mathbf R^3\) | 2000-03-27 | Paper |
| Morrey-Campanato estimates for Helmholtz equations | 1999-11-25 | Paper |
| Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations | 1999-11-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4213407 | 1999-03-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4212811 | 1998-10-06 | Paper |
| A bilinear approach to the restriction and Kakeya conjectures | 1998-09-10 | Paper |
| Weighted estimates for the Helmholtz equation and some applications | 1998-06-29 | Paper |
| Global solutions for the KdV equation with unbounded data | 1998-03-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4370073 | 1998-01-14 | Paper |
| A Semilinear Dirac Equation inHs(R3) fors> 1 | 1997-12-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4717378 | 1997-08-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4288576 | 1997-06-03 | Paper |
| Quadratic forms for the 1-D semilinear Schrödinger equation | 1997-05-26 | Paper |
| On the Ill-Posedness of the IVP for the Generalized Korteweg-De Vries and Nonlinear Schrödinger Equations | 1997-02-03 | Paper |
| Spherical Means and Weighted Inequalities | 1997-01-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4883432 | 1996-11-14 | Paper |
| A bilinear estimate with applications to the KdV equation | 1996-10-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4855902 | 1996-09-29 | Paper |
| Corrigenda to ``Unique continuation for Schrödinger operators and a remark on interpolation of Morrey spaces | 1996-08-04 | Paper |
| On the Zakharov and Zakharov-Schulman systems | 1995-11-01 | Paper |
| Local regularity of solutions to wave equations with time-dependent potentials | 1995-06-11 | Paper |
| On the Generalized Benjamin-Ono Equation | 1995-01-15 | Paper |
| Higher-Order Nonlinear Dispersive Equations | 1994-10-26 | Paper |
| Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle | 1994-06-02 | Paper |
| The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices | 1994-02-07 | Paper |
| Small solutions to nonlinear Schrödinger equations | 1993-12-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5287483 | 1993-08-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4039228 | 1993-08-09 | Paper |
| Unique continuation for the solutions of the Laplacian plus a drift | 1992-09-26 | Paper |
| Unique continuation for Schrödinger operators with potential in Morrey spaces | 1992-06-25 | Paper |
| On the (generalized) Korteweg-de Vries equation | 1992-06-25 | Paper |
| Nonlinear small data scattering for the generalized Korteweg-de Vries equation | 1992-06-25 | Paper |
| Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation | 1992-06-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3974678 | 1992-06-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5751317 | 1990-01-01 | Paper |
| Almost Everywhere Summability of Fourier Integrals | 1988-01-01 | Paper |
| Schrodinger Equations: Pointwise Convergence to the Initial Data | 1988-01-01 | Paper |
