H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 83 Citations 27,320 275 World Ranking 53 National Ranking 32

Research.com Recognitions

Awards & Achievements

2014 - Member of the National Academy of Sciences

2013 - Fellow of the American Mathematical Society

2002 - Fellow of the American Academy of Arts and Sciences

1986 - Fellow of John Simon Guggenheim Memorial Foundation

1981 - Fellow of Alfred P. Sloan Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Pure mathematics

Carlos E. Kenig spends much of his time researching Mathematical analysis, Pure mathematics, Sobolev space, Initial value problem and Lipschitz continuity. His studies examine the connections between Mathematical analysis and genetics, as well as such issues in Nonlinear system, with regards to Constant. The study incorporates disciplines such as Dirichlet L-function, Uniqueness, Degenerate energy levels and General Dirichlet series in addition to Pure mathematics.

In the field of Sobolev space, his study on Sobolev inequality overlaps with subjects such as Homogeneous. His Initial value problem research is multidisciplinary, incorporating perspectives in Korteweg–de Vries equation and Well posedness. Carlos E. Kenig has researched Lipschitz continuity in several fields, including Neumann boundary condition, Elliptic operator and Eigenvalues and eigenvectors.

His most cited work include:

  • Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle (1145 citations)
  • The local regularity of solutions of degenerate elliptic equations (734 citations)
  • Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case (720 citations)

What are the main themes of his work throughout his whole career to date?

Carlos E. Kenig mostly deals with Mathematical analysis, Pure mathematics, Wave equation, Bounded function and Mathematical physics. The Mathematical analysis study combines topics in areas such as Boundary and Nonlinear system. Within one scientific family, Carlos E. Kenig focuses on topics pertaining to Dirichlet problem under Pure mathematics, and may sometimes address concerns connected to Measure.

His Wave equation research focuses on Energy and how it connects with Space. His Bounded function research incorporates elements of Norm, Elliptic operator and Scaling. His research integrates issues of Korteweg–de Vries equation, Benjamin–Ono equation and Well posedness in his study of Mathematical physics.

He most often published in these fields:

  • Mathematical analysis (61.97%)
  • Pure mathematics (19.95%)
  • Wave equation (14.10%)

What were the highlights of his more recent work (between 2014-2021)?

  • Mathematical analysis (61.97%)
  • Wave equation (14.10%)
  • Energy (9.31%)

In recent papers he was focusing on the following fields of study:

Carlos E. Kenig mainly investigates Mathematical analysis, Wave equation, Energy, Mathematical physics and Bounded function. His research in Mathematical analysis intersects with topics in Work and Conjecture. His Wave equation research includes elements of Space, Soliton, Sequence and Schrödinger equation.

Carlos E. Kenig works mostly in the field of Energy, limiting it down to topics relating to Scattering and, in certain cases, Mathematical proof, as a part of the same area of interest. His Mathematical physics research includes themes of Korteweg–de Vries equation, Vries equation and Beta. His study in Bounded function is interdisciplinary in nature, drawing from both Norm, Scaling and Ground state.

Between 2014 and 2021, his most popular works were:

  • Characterization of large energy solutions of the equivariant wave map problem: II (66 citations)
  • Soliton resolution along a sequence of times for the focusing energy critical wave equation (48 citations)
  • The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients (34 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

The scientist’s investigation covers issues in Mathematical analysis, Wave equation, Bounded function, Energy and Conjecture. His research ties Equivariant map and Mathematical analysis together. His studies deal with areas such as Space, Soliton, Sequence and Compact space as well as Wave equation.

His Bounded function study combines topics from a wide range of disciplines, such as Jacobi elliptic functions, Pure mathematics, Dirichlet problem, Measure and Quarter period. His work deals with themes such as Initial value problem, Benjamin–Ono equation and Uniqueness, which intersect with Pure mathematics. His study looks at the relationship between Energy and fields such as Scattering, as well as how they intersect with chemical problems.

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.

Top Publications

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)

1271 Citations

The local regularity of solutions of degenerate elliptic equations

Eugene B. Fabes;Carlos E. Kenig;Raul P. Serapioni.
Communications in Statistics-theory and Methods (1982)

1071 Citations

The Inhomogeneous Dirichlet Problem in Lipschitz Domains

D. Jerison;C.E. Kenig.
Journal of Functional Analysis (1995)

800 Citations

A bilinear estimate with applications to the KdV equation

Carlos E. Kenig;Gustavo Ponce;Luis Vega.
Journal of the American Mathematical Society (1996)

799 Citations

Oscillatory integrals and regularity of dispersive equations

C. E. Kenig;G. Ponce;L. Vega.
Indiana University Mathematics Journal (1991)

771 Citations

Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case

Carlos E. Kenig;Frank Merle.
Inventiones Mathematicae (2006)

695 Citations

Boundary behavior of harmonic functions in non-tangentially accessible domains

David S Jerison;Carlos E Kenig.
Advances in Mathematics (1982)

690 Citations

Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems

Carlos E. Kenig.
(1994)

627 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)

606 Citations

Unique continuation and absence of positive eigenvalues for Schrodinger operators

David Jerison;Carlos E. Kenig;E. M. Stein.
Annals of Mathematics (1985)

454 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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