LUIS
VEGA GONZALEZ
PROFESORADO CATEDRATICO/A DE UNIVERSIDAD
Basque Center for Applied Mathematics
Bilbao, EspañaPublications en collaboration avec des chercheurs de Basque Center for Applied Mathematics (36)
2024
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Blow-Up for the 1D Cubic NLS
Communications in Mathematical Physics, Vol. 405, Núm. 1
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Multifractality and intermittency in the limit evolution of polygonal vortex filaments
Mathematische Annalen
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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
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Steady solutions for the Schrödinger map equation
Communications in Partial Differential Equations, Vol. 49, Núm. 5-6, pp. 505-542
2023
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A Master in Harmony and Differential Equations: A tribute to Carlos E. Kenig on his 70th birthday
Vietnam Journal of Mathematics
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Eigenvalue Curves for Generalized MIT Bag Models
Communications in Mathematical Physics, Vol. 397, Núm. 1, pp. 337-392
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Reconnection of Infinitely Thin Antiparallel Vortices and Coherent Structures
Journal of Nonlinear Science, Vol. 33, Núm. 6
2022
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ON THE ONE DIMENSIONAL CUBIC NLS IN A CRITICAL SPACE
Discrete and Continuous Dynamical Systems- Series A, Vol. 42, Núm. 6, pp. 2563-2584
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Riemann’s Non-differentiable Function and the Binormal Curvature Flow
Archive for Rational Mechanics and Analysis, Vol. 244, Núm. 2, pp. 501-540
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STATIC AND DYNAMICAL, FRACTIONAL UNCERTAINTY PRINCIPLES
Transactions of the American Mathematical Society, Vol. 375, Núm. 8, pp. 5691-5725
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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
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Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane
Journal of Nonlinear Science, Vol. 32, Núm. 1
2021
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Self-Similar Dynamics for the Modified Korteweg-de Vries Equation
International Mathematics Research Notices, Vol. 2021, Núm. 13, pp. 9958-10013
2020
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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
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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
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Evolution of Polygonal Lines by the Binormal Flow
Annals of PDE, Vol. 6, Núm. 1
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On the energy of critical solutions of the binormal flow
Communications in Partial Differential Equations, Vol. 45, Núm. 7, pp. 820-845
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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
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On the improvement of the Hardy inequality due to singular magnetic fields
Communications in Partial Differential Equations, Vol. 45, Núm. 9, pp. 1202-1212
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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