- Home
- Best Scientists - Mathematics
- Nikolay Tzvetkov

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
38
Citations
5,187
100
World Ranking
1596
National Ranking
89

- Mathematical analysis
- Algebra
- Partial differential equation

Mathematical analysis, Nonlinear Schrödinger equation, Schrödinger equation, Eigenfunction and Mathematical physics are his primary areas of study. Many of his studies on Mathematical analysis involve topics that are commonly interrelated, such as Invariant measure. Nikolay Tzvetkov interconnects Kadomtsev–Petviashvili equation, Instability and Invariant in the investigation of issues within Nonlinear Schrödinger equation.

His study looks at the relationship between Eigenfunction and topics such as Laplace transform, which overlap with Geodesic, Riemannian surface and Norm. His work on Renormalization as part of general Mathematical physics research is often related to Work, thus linking different fields of science. He combines subjects such as Dispersion and Independent equation, Partial differential equation with his study of Benjamin–Ono equation.

- Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds (308 citations)
- Ill-Posedness Issues for the Benjamin--Ono and Related Equations (203 citations)
- On the local well-posedness of the Benjamin-Ono equation in Hs(ℝ) (174 citations)

Nikolay Tzvetkov mainly focuses on Mathematical analysis, Sobolev space, Mathematical physics, Nonlinear Schrödinger equation and Schrödinger equation. The concepts of his Mathematical analysis study are interwoven with issues in Korteweg–de Vries equation and Invariant. His studies deal with areas such as Norm, Invariant and Applied mathematics as well as Sobolev space.

His study explores the link between Mathematical physics and topics such as Derivative that cross with problems in Gibbs measure. He has researched Nonlinear Schrödinger equation in several fields, including Invariant measure and Eigenfunction. His Schrödinger equation research incorporates elements of Cauchy problem, Initial value problem, Ball and Euclidean space.

- Mathematical analysis (63.89%)
- Sobolev space (27.78%)
- Mathematical physics (25.00%)

- Sobolev space (27.78%)
- Applied mathematics (13.19%)
- Probabilistic logic (6.25%)

His primary areas of investigation include Sobolev space, Applied mathematics, Probabilistic logic, Nonlinear wave equation and Mathematical physics. Nikolay Tzvetkov has included themes like Initial value problem, Norm, Renormalization and Invariant in his Sobolev space study. His work carried out in the field of Applied mathematics brings together such families of science as Almost surely, Invariant measure and Nonlinear Schrödinger equation.

In his study, Schrödinger equation, Probability measure, Cauchy problem and Absolute continuity is strongly linked to Flow, which falls under the umbrella field of Nonlinear Schrödinger equation. His Time derivative study necessitates a more in-depth grasp of Mathematical analysis. Nikolay Tzvetkov studies Schrödinger's cat, a branch of Mathematical analysis.

- Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation (13 citations)
- Random Data Wave Equations (13 citations)
- Quasi-invariant Gaussian measures for the cubic nonlinear Schrödinger equation with third order dispersion (11 citations)

- Mathematical analysis
- Algebra
- Partial differential equation

His main research concerns Sobolev space, Mathematical analysis, Applied mathematics, Renormalization and Gibbs measure. His studies in Sobolev space integrate themes in fields like Flow and Invariant. His research on Invariant concerns the broader Mathematical physics.

His is doing research in Energy functional and Stochastic partial differential equation, both of which are found in Mathematical analysis. His Gibbs measure study combines topics from a wide range of disciplines, such as Function, Schrödinger's cat, Riemannian manifold and Dynamics. His work focuses on many connections between Invariant measure and other disciplines, such as Fourier transform, that overlap with his field of interest in Nonlinear Schrödinger equation.

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

Ill-Posedness Issues for the Benjamin--Ono and Related Equations

Luc Molinet;Jean-Claude Saut;Nikolay Tzvetkov.

Siam Journal on Mathematical Analysis **(2001)**

324 Citations

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

Nicolas Burq;Nicolas Burq;Nikolay Tzvetkov.

Inventiones Mathematicae **(2008)**

280 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

On the local well-posedness of the Benjamin-Ono equation in Hs(ℝ)

H. Koch;N. Tzvetkov.

International Mathematics Research Notices **(2003)**

188 Citations

An instability property of the nonlinear Schrödinger equation on $S^{d}$

N. Burq;P. Gerard;N. Tzvetkov.

Mathematical Research Letters **(2002)**

164 Citations

Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds

N. Burq;P. Gérard;N. Tzvetkov.

Duke Mathematical Journal **(2007)**

157 Citations

On nonlinear Schrödinger equations in exterior domains

N Burq;P Gérard;N Tzvetkov.

Annales De L Institut Henri Poincare-analyse Non Lineaire **(2004)**

150 Citations

Nonlinear wave interactions for the Benjamin-Ono equation.

Herbert Koch;Nikolay Tzvetkov.

International Mathematics Research Notices **(2005)**

150 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

University of Paris-Saclay

University of Paris-Saclay

University of Turin

California Institute of Technology

University of Dundee

Georgia Institute of Technology

University of Michigan–Ann Arbor

Intel (United States)

University of Arkansas at Fayetteville

Engelhardt Institute of Molecular Biology

Czech Academy of Sciences

Kyushu University

University of Montpellier

University of Birmingham

University of California, Santa Cruz

Goddard Space Flight Center

Vrije Universiteit Brussel

Medical University of Vienna

University of Basel

Something went wrong. Please try again later.