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Mathematics
Spain
2026

D-Index & Metrics

Mathematics

D-Index
58
Citations
13463
World Ranking
632
National Ranking
9

Research.com Recognitions

  • 2026 - Research.com Mathematics in Spain Leader Award
  • 2025 - Research.com Mathematics in Spain Leader Award
  • 2022 - Research.com Mathematics in Spain Leader Award
  • 2013 - Fellow of the American Mathematical Society

Overview

Luis Vega is affiliated with the University of the Basque Country in Spain. Their research primarily focuses on the field of mathematics, with a strong concentration in mathematical physics. They have contributed extensively to various subfields, including mathematical physics, applied mathematics, statistical and nonlinear physics, computational mechanics, and computational theory and mathematics.

Their scholarly work covers several main topics of interest:

  • Advanced Mathematical Physics Problems
  • Spectral Theory in Mathematical Physics
  • Nonlinear Waves and Solitons
  • Fluid Dynamics and Turbulent Flows
  • Numerical methods in inverse problems
  • Navier-Stokes equation solutions
  • Stability and Controllability of Differential Equations

Luis Vega has published in a range of academic venues that often include:

  • arXiv (Cornell University)
  • Communications in Partial Differential Equations
  • Communications in Mathematical Physics
  • Annals of Hepatology
  • Vietnam Journal of Mathematics

Several recent papers by Luis Vega highlight their ongoing contributions to the field:

  • "Riemann's Non-differentiable Function and the Binormal Curvature Flow," 2022, published in Archive for Rational Mechanics and Analysis
  • "A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator," 2020, published in CINECA IRIS Institutional Research Information System (University of Bari Aldo Moro)
  • "On the improvement of the Hardy inequality due to singular magnetic fields," 2020, published in IRIS Research product catalog (Sapienza University of Rome)
  • "Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation," 2020, published in Journal de Mathématiques Pures et Appliquées
  • "Eigenvalue Curves for Generalized MIT Bag Models," 2022, published in Communications in Mathematical Physics

Luis Vega has collaborated frequently with other researchers in the field. Their most common co-authors include:

  • Valeria Banica
  • Gustavo Ponce
  • Daniel Eceizabarrena
  • Andrea R. Nahmod
  • Carlos E. Kenig

In recognition of their contributions to mathematics, Luis Vega was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • A bilinear estimate with applications to the KdV equation

    Carlos Kenig;Gustavo Ponce;Luis Vega

  • Oscillatory integrals and regularity of dispersive equations

    C. E. Kenig;G. Ponce;L. Vega

  • Well-posedness of the initial value problem for the Korteweg-de Vries equation

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • On the ill-posedness of some canonical dispersive equations

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • Schrödinger equations: pointwise convergence to the initial data

    Luis Vega

  • Small solutions to nonlinear Schrödinger equations

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • A bilinear approach to the restriction and Kakeya conjectures

    Terence Tao;Ana Vargas;Luis Vega

  • Compactness at blow-up time for L2 solutions of the critical nonlinear Schrödinger equation in 2D

    F. Merle;L. Vega

  • Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • On the (generalized) Korteweg-de Vries equation

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • Quadratic forms for the 1-D semilinear Schrödinger equation

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • BILINEAR VIRIAL IDENTITIES AND APPLICATIONS

    Fabrice Planchon;Luis Vega

  • The Cauchy problem for quasi-linear Schrödinger equations

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • Schrödinger maximal function and restriction properties of the Fourier transform

    A. Moyua;A. Vargas;L. Vega

  • A semilinear Dirac equation in H S ( R 3 ) for s >1

    M. Escobedo;L. Vega

  • Restriction theorems and maximal operators related to oscillatory integrals in $\mathbb{R}^3$

    A. Moyua;A. Vargas;L. Vega

  • Higher-order nonlinear dispersive equations

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • On the Zakharov and Zakharov-Schulman Systems

    C.E. Kenig;G. Ponce;L. Vega

Frequent Co-Authors

Carlos E. Kenig
Carlos E. Kenig University of Chicago
Gustavo Ponce
Gustavo Ponce University of California, Santa Barbara
Luis Escauriaza
Luis Escauriaza University of the Basque Country
Benoît Perthame
Benoît Perthame Sorbonne University
Fabrice Planchon
Fabrice Planchon Sorbonne University
Jean Dolbeault
Jean Dolbeault Paris Dauphine University
Maria J. Esteban
Maria J. Esteban Paris Dauphine University
Michael Cowling
Michael Cowling University of New South Wales
Michael Loss
Michael Loss Georgia Institute of Technology
Terence Tao
Terence Tao University of California, Los Angeles

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