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- Nicolas Burq

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
42
Citations
6,508
109
World Ranking
1230
National Ranking
63

- 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.

- 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)

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.

- Mathematical analysis (77.03%)
- Wave equation (27.03%)
- Schrödinger equation (18.92%)

- Mathematical analysis (77.03%)
- Damped wave (10.81%)
- Torus (9.46%)

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.

- 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)

- 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.

Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds

Nicolas Burq;P Gerard;N Tzvetkov.

American Journal of Mathematics **(2004)**

479 Citations

Décroissance de l'énergie locale de l'équation des ondes pour le problème extérieur et absence de résonance au voisinage du réel

Nicolas Burq.

Acta Mathematica **(1998)**

347 Citations

Random data Cauchy theory for supercritical wave equations I: local theory

Nicolas Burq;Nicolas Burq;Nikolay Tzvetkov.

Inventiones Mathematicae **(2008)**

280 Citations

Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential

Nicolas Burq;Fabrice Planchon;John G. Stalker;A.Shadi Tahvildar-Zadeh.

Journal of Functional Analysis **(2003)**

265 Citations

Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes

Nicolas Burq;Patrick Gérard.

Comptes Rendus De L Academie Des Sciences Serie I-mathematique **(1997)**

257 Citations

Geometric control in the presence of a black box

Nicolas Burq;Maciej Zworski.

Journal of the American Mathematical Society **(2004)**

223 Citations

Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces

N. Burq;P. Gérard;N. Tzvetkov.

Inventiones Mathematicae **(2005)**

201 Citations

Random data Cauchy theory for supercritical wave equations II: a global existence result

Nicolas Burq;Nicolas Burq;Nikolay Tzvetkov.

Inventiones Mathematicae **(2008)**

194 Citations

Strichartz estimates for the wave and Schrödinger equations with potentials of critical decay

Nicolas Burq;Fabrice Planchon;John G. Stalker;A. Shadi Tahvildar-Zadeh.

Indiana University Mathematics Journal **(2004)**

188 Citations

On the Cauchy problem for gravity water waves

Thomas Alazard;Nicolas Burq;Claude Zuily.

Inventiones Mathematicae **(2014)**

186 Citations

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