What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Partial differential equation
His primary areas of investigation include Mathematical analysis, Wave equation, Schrödinger equation, Cauchy distribution and Nonlinear system.
His Mathematical analysis research incorporates themes from Surface tension and Eigenfunction.
His studies in Schrödinger equation integrate themes in fields like Schrödinger's cat and Mathematical physics.
His biological study spans a wide range of topics, including Instability and Resolvent.
In his study, Uniqueness, Well-posed problem, Scale and Domain is strongly linked to Type, which falls under the umbrella field of Cauchy distribution.
He combines subjects such as Hadamard transform, Large set and Spherical harmonics with his study of Riemannian manifold.
His most cited work include:
- Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds (308 citations)
- Décroissance de l'énergie locale de l'équation des ondes pour le problème extérieur et absence de résonance au voisinage du réel (213 citations)
- Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential (211 citations)
What are the main themes of his work throughout his whole career to date?
The scientist’s investigation covers issues in Mathematical analysis, Wave equation, Schrödinger equation, Mathematical physics and Eigenfunction.
The various areas that Nicolas Burq examines in his Mathematical analysis study include Energy and Nonlinear system.
Nicolas Burq interconnects Dimension, Strong solutions and Riemannian manifold in the investigation of issues within Wave equation.
His Schrödinger equation research integrates issues from Open set, Square and Benjamin–Ono equation.
The Eigenfunction study combines topics in areas such as Laplace transform, Multilinear map, Pure mathematics, Norm and Spherical harmonics.
His studies deal with areas such as Domain and Shape resonance as well as Boundary value problem.
He most often published in these fields:
- Mathematical analysis (77.03%)
- Wave equation (27.03%)
- Schrödinger equation (18.92%)
What were the highlights of his more recent work (between 2014-2021)?
- Mathematical analysis (77.03%)
- Damped wave (10.81%)
- Torus (9.46%)
In recent papers he was focusing on the following fields of study:
Nicolas Burq spends much of his time researching Mathematical analysis, Damped wave, Torus, Geometric control and Resolvent.
His study deals with a combination of Mathematical analysis and Gravity.
His Damped wave research includes elements of Laplace transform, Eigenfunction and Mathematical physics.
His Torus research is multidisciplinary, incorporating elements of Simple, Wave equation and Pure mathematics.
His Resolvent study combines topics in areas such as Partial differential equation and Euclidean geometry.
His study looks at the intersection of Cauchy distribution and topics like Infinity with Work.
Between 2014 and 2021, his most popular works were:
- Cauchy theory for the gravity water waves system with non-localized initial data (48 citations)
- Cauchy theory for the gravity water waves system with non-localized initial data (48 citations)
- Remarks on the Gibbs measures for nonlinear dispersive equations (33 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Partial differential equation
Nicolas Burq mainly investigates Mathematical analysis, Damped wave, Geometric control, Sobolev space and Eigenfunction.
His research integrates issues of Energy and Curvature in his study of Mathematical analysis.
His Sobolev space research is multidisciplinary, relying on both Infinity, Cauchy distribution, Cauchy problem and Work.
His Eigenfunction study incorporates themes from Laplace transform, Modulo and Mathematical physics.
His study looks at the relationship between Modulo and fields such as Torus, as well as how they intersect with chemical problems.
His Manifold research incorporates elements of Simple and Generalization.
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.
