2026 Luis Vega: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	58	632	535	9	9	174	13463

Luis Vega publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Luis Vega sits on this spectrum.

42 publications 537+

This scientist: 174 publications — 51st percentile

51% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Luis Vega D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Luis Vega sits on this spectrum.

30 D-Index 86+

This scientist: 58 D-Index — 83rd percentile

83% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

1601
Citations
A bilinear estimate with applications to the KdV equation

Carlos Kenig;Gustavo Ponce;Luis Vega

965
Citations
Oscillatory integrals and regularity of dispersive equations

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

823
Citations
Well-posedness of the initial value problem for the Korteweg-de Vries equation

Carlos E. Kenig;Gustavo Ponce;Luis Vega

791
Citations
On the ill-posedness of some canonical dispersive equations

Carlos E. Kenig;Gustavo Ponce;Luis Vega

490
Citations
The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices

Carlos E. Kenig;Gustavo Ponce;Luis Vega

486
Citations
Schrödinger equations: pointwise convergence to the initial data

Luis Vega

484
Citations
Small solutions to nonlinear Schrödinger equations

Carlos E. Kenig;Gustavo Ponce;Luis Vega

368
Citations
A bilinear approach to the restriction and Kakeya conjectures

Terence Tao;Ana Vargas;Luis Vega

307
Citations
Compactness at blow-up time for L2 solutions of the critical nonlinear Schrödinger equation in 2D

F. Merle;L. Vega

277
Citations
Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations

Carlos E. Kenig;Gustavo Ponce;Luis Vega

247
Citations
On the (generalized) Korteweg-de Vries equation

Carlos E. Kenig;Gustavo Ponce;Luis Vega

206
Citations
Quadratic forms for the 1-D semilinear Schrödinger equation

Carlos E. Kenig;Gustavo Ponce;Luis Vega

192
Citations
BILINEAR VIRIAL IDENTITIES AND APPLICATIONS

Fabrice Planchon;Luis Vega

176
Citations
The Cauchy problem for quasi-linear Schrödinger equations

Carlos E. Kenig;Gustavo Ponce;Luis Vega

165
Citations
Schrödinger maximal function and restriction properties of the Fourier transform

A. Moyua;A. Vargas;L. Vega

162
Citations
A semilinear Dirac equation in H S ( R 3 ) for s >1

M. Escobedo;L. Vega

160
Citations
Restriction theorems and maximal operators related to oscillatory integrals in $\mathbb{R}^3$

A. Moyua;A. Vargas;L. Vega

159
Citations
Higher-order nonlinear dispersive equations

Carlos E. Kenig;Gustavo Ponce;Luis Vega

149
Citations
On the Zakharov and Zakharov-Schulman Systems

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

136
Citations

Frequent Co-Authors

Carlos E. Kenig University of Chicago

Gustavo Ponce University of California, Santa Barbara

Luis Escauriaza University of the Basque Country

Benoît Perthame Sorbonne University

Fabrice Planchon Sorbonne University

Jean Dolbeault Paris Dauphine University

Maria J. Esteban Paris Dauphine University

Michael Cowling University of New South Wales

Michael Loss Georgia Institute of Technology

Terence Tao University of California, Los Angeles

External Links

Wikipedia of Luis Vega Personal website of Luis Vega Google Scholar page

If you think any of the details on this page are incorrect, let us know.

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