What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (63.89%)
- Sobolev space (27.78%)
- Mathematical physics (25.00%)
What were the highlights of his more recent work (between 2018-2021)?
- Sobolev space (27.78%)
- Applied mathematics (13.19%)
- Probabilistic logic (6.25%)
In recent papers he was focusing on the following fields of study:
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.
Between 2018 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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