What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (55.45%)
- Mathematical physics (40.00%)
- Schrödinger equation (25.00%)
What were the highlights of his more recent work (between 2017-2021)?
- Mathematical physics (40.00%)
- Mathematical analysis (55.45%)
- Flow (13.18%)
In recent papers he was focusing on the following fields of study:
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.
Between 2017 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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