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- Luis Vega

Mathematics

Spain

2022

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
55
Citations
11,949
169
World Ranking
574
National Ranking
12

2022 - Research.com Mathematics in Spain Leader Award

2013 - Fellow of the American Mathematical Society

- Mathematical analysis
- Quantum mechanics
- Algebra

His primary areas of study are Mathematical analysis, Schrödinger equation, Initial value problem, Mathematical physics and Sobolev space. Luis Vega regularly ties together related areas like Korteweg–de Vries equation in his Mathematical analysis studies. Luis Vega combines subjects such as Uniqueness and Oscillatory integral with his study of Korteweg–de Vries equation.

His work in Schrödinger equation addresses issues such as Nonlinear system, which are connected to fields such as Constant, Quadratic equation and Boundary value problem. Luis Vega interconnects Polynomial, Type, Group and Pure mathematics in the investigation of issues within Initial value problem. The Mathematical physics study which covers Nonlinear Schrödinger equation that intersects with Linear equation.

- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle (1145 citations)
- A bilinear estimate with applications to the KdV equation (718 citations)
- Oscillatory integrals and regularity of dispersive equations (615 citations)

His primary areas of investigation include Mathematical analysis, Mathematical physics, Schrödinger equation, Initial value problem and Pure mathematics. His studies deal with areas such as Korteweg–de Vries equation, Nonlinear system, Vortex and Flow as well as Mathematical analysis. Korteweg–de Vries equation is often connected to Well posedness in his work.

His Mathematical physics study integrates concerns from other disciplines, such as Type and Magnetic field. His Schrödinger equation study also includes

- Uniqueness which is related to area like Upper and lower bounds,
- Singularity together with Classical mechanics. His work deals with themes such as Conservation law, Boundary value problem, Applied mathematics and Sobolev space, which intersect with Initial value problem.

- Mathematical analysis (55.45%)
- Mathematical physics (40.00%)
- Schrödinger equation (25.00%)

- Mathematical physics (40.00%)
- Mathematical analysis (55.45%)
- Flow (13.18%)

Luis Vega mostly deals with Mathematical physics, Mathematical analysis, Flow, Schrödinger's cat and Pure mathematics. In general Mathematical physics, his work in Dirac is often linked to Self-adjoint operator linking many areas of study. The Mathematical analysis study combines topics in areas such as Vortex and Vorticity.

His work carried out in the field of Flow brings together such families of science as Korteweg–de Vries equation, Inviscid flow and Dynamics. His Schrödinger's cat research is multidisciplinary, incorporating elements of Point, Spectrum and Schrödinger equation. His Open set study incorporates themes from Initial value problem, Benjamin–Ono equation, Class, Uniqueness and Wave equation.

- Spectral stability of Schroedinger operators with subordinated complex potentials (34 citations)
- A strategy for self-adjointness of Dirac operators: Applications to the MIT bag model and delta-shell interactions (31 citations)
- Absence of eigenvalues of two-dimensional magnetic Schrödinger operators (23 citations)

- Mathematical analysis
- Quantum mechanics
- Algebra

Luis Vega mainly investigates Mathematical physics, Schrödinger's cat, Dirac, Type and Talbot effect. His research combines Pure mathematics and Mathematical physics. The concepts of his Schrödinger's cat study are interwoven with issues in Point and Spectrum.

He has included themes like Surface and Sobolev space in his Dirac study. His Type research includes elements of Benjamin–Ono equation, Open set, Boundary value problem, Class and Uniqueness. His Nonlinear system research includes themes of Mathematical analysis, Superposition principle, Infinitesimal, Multifractal system and Polygon.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

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

Carlos E. Kenig;Gustavo Ponce;Luis Vega.

Communications on Pure and Applied Mathematics **(1993)**

1442 Citations

A bilinear estimate with applications to the KdV equation

Carlos Kenig;Gustavo Ponce;Luis Vega.

Journal of the American Mathematical Society **(1996)**

870 Citations

Oscillatory integrals and regularity of dispersive equations

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

Indiana University Mathematics Journal **(1991)**

823 Citations

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

Carlos E. Kenig;Gustavo Ponce;Luis Vega.

Journal of the American Mathematical Society **(1991)**

693 Citations

Schrödinger equations: pointwise convergence to the initial data

Luis Vega.

Proceedings of the American Mathematical Society **(1988)**

476 Citations

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

Carlos E. Kenig;Gustavo Ponce;Luis Vega.

Duke Mathematical Journal **(1993)**

444 Citations

On the ill-posedness of some canonical dispersive equations

Carlos E. Kenig;Gustavo Ponce;Luis Vega.

Duke Mathematical Journal **(2001)**

439 Citations

Small solutions to nonlinear Schrödinger equations

Carlos E. Kenig;Gustavo Ponce;Luis Vega.

Annales De L Institut Henri Poincare-analyse Non Lineaire **(1993)**

355 Citations

A bilinear approach to the restriction and Kakeya conjectures

Terence Tao;Ana Vargas;Luis Vega.

Journal of the American Mathematical Society **(1998)**

274 Citations

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

F. Merle;L. Vega.

International Mathematics Research Notices **(1998)**

257 Citations

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