Publications in collaboration with researchers from Basque Center for Applied Mathematics (36)

2024

  1. Blow-Up for the 1D Cubic NLS

    Communications in Mathematical Physics, Vol. 405, Núm. 1

  2. Multifractality and intermittency in the limit evolution of polygonal vortex filaments

    Mathematische Annalen

  3. New Conservation Laws and Energy Cascade for 1d Cubic NLS and the Schrödinger Map

    Vietnam Journal of Mathematics, Vol. 52, Núm. 4, pp. 985-999

  4. Steady solutions for the Schrödinger map equation

    Communications in Partial Differential Equations, Vol. 49, Núm. 5-6, pp. 505-542

2023

  1. A Master in Harmony and Differential Equations: A tribute to Carlos E. Kenig on his 70th birthday

    Vietnam Journal of Mathematics

  2. Eigenvalue Curves for Generalized MIT Bag Models

    Communications in Mathematical Physics, Vol. 397, Núm. 1, pp. 337-392

  3. Reconnection of Infinitely Thin Antiparallel Vortices and Coherent Structures

    Journal of Nonlinear Science, Vol. 33, Núm. 6

2022

  1. ON THE ONE DIMENSIONAL CUBIC NLS IN A CRITICAL SPACE

    Discrete and Continuous Dynamical Systems- Series A, Vol. 42, Núm. 6, pp. 2563-2584

  2. Riemann’s Non-differentiable Function and the Binormal Curvature Flow

    Archive for Rational Mechanics and Analysis, Vol. 244, Núm. 2, pp. 501-540

  3. STATIC AND DYNAMICAL, FRACTIONAL UNCERTAINTY PRINCIPLES

    Transactions of the American Mathematical Society, Vol. 375, Núm. 8, pp. 5691-5725

  4. Unbounded growth of the energy density associated to the Schrödinger map and the binormal flow

    Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, Vol. 39, Núm. 4, pp. 927-946

  5. Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane

    Journal of Nonlinear Science, Vol. 32, Núm. 1

2021

  1. Self-Similar Dynamics for the Modified Korteweg-de Vries Equation

    International Mathematics Research Notices, Vol. 2021, Núm. 13, pp. 9958-10013

2020

  1. Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation

    Journal des Mathematiques Pures et Appliquees, Vol. 137, pp. 101-142

  2. Bilinear identities involving the k-plane transform and Fourier extension operators

    Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 150, Núm. 6, pp. 3349-3377

  3. Evolution of Polygonal Lines by the Binormal Flow

    Annals of PDE, Vol. 6, Núm. 1

  4. On the energy of critical solutions of the binormal flow

    Communications in Partial Differential Equations, Vol. 45, Núm. 7, pp. 820-845

  5. On the evolution of the vortex filament equation for regular m-polygons with nonzero torsion

    SIAM Journal on Applied Mathematics, Vol. 80, Núm. 2, pp. 1034-1056

  6. On the improvement of the Hardy inequality due to singular magnetic fields

    Communications in Partial Differential Equations, Vol. 45, Núm. 9, pp. 1202-1212

  7. On the unique continuation of solutions to non-local non-linear dispersive equations

    Communications in Partial Differential Equations, Vol. 45, Núm. 8, pp. 872-886