What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Hilbert space
Viorel Barbu mostly deals with Mathematical analysis, Mathematical optimization, Uniqueness, Nonlinear system and Applied mathematics.
He regularly links together related areas like Controllability in his Mathematical analysis studies.
His work in Mathematical optimization addresses issues such as Convex analysis, which are connected to fields such as Subderivative, Dynamic programming, Variational principle and Differential dynamic programming.
His Uniqueness research includes themes of Monotone polygon, Forcing, Convex function, Bounded function and Wiener process.
His study looks at the intersection of Nonlinear system and topics like Banach space with Stochastic partial differential equation, Dissipative operator and Sobolev space.
His Optimal control research incorporates elements of Type and Omega.
His most cited work include:
- Nonlinear semigroups and differential equations in Banach spaces (1622 citations)
- Convexity and optimization in Banach spaces (643 citations)
- Analysis and control of nonlinear infinite dimensional systems (458 citations)
What are the main themes of his work throughout his whole career to date?
His primary scientific interests are in Mathematical analysis, Nonlinear system, Applied mathematics, Uniqueness and Optimal control.
As part of one scientific family, Viorel Barbu deals mainly with the area of Mathematical analysis, narrowing it down to issues related to the Controllability, and often Parabolic partial differential equation.
His Nonlinear system research is multidisciplinary, incorporating perspectives in Monotone polygon, Type, Fokker–Planck equation, Stochastic differential equation and Space.
His biological study spans a wide range of topics, including Stochastic partial differential equation and Brownian motion.
The concepts of his Uniqueness study are interwoven with issues in Wiener process and Bounded function.
Optimal control is often connected to Variational inequality in his work.
He most often published in these fields:
- Mathematical analysis (54.71%)
- Nonlinear system (27.66%)
- Applied mathematics (21.28%)
What were the highlights of his more recent work (between 2015-2021)?
- Nonlinear system (27.66%)
- Mathematical analysis (54.71%)
- Applied mathematics (21.28%)
In recent papers he was focusing on the following fields of study:
His primary areas of study are Nonlinear system, Mathematical analysis, Applied mathematics, Stochastic differential equation and Uniqueness.
The Nonlinear system study combines topics in areas such as Semigroup, Type, Fokker–Planck equation, Space and Wiener process.
His Mathematical analysis study frequently links to other fields, such as Controllability.
His work carried out in the field of Applied mathematics brings together such families of science as Representation, Nonlinear stochastic differential equations, Optimal control and Bellman equation.
Viorel Barbu has researched Stochastic differential equation in several fields, including Monotone polygon, Hilbert space, Brownian motion, Stochastic partial differential equation and Weak solution.
His Monotone polygon research is multidisciplinary, incorporating elements of Partial differential equation and Pure mathematics.
Between 2015 and 2021, his most popular works were:
- Stochastic nonlinear Schrödinger equations (33 citations)
- Stochastic Porous Media Equations (32 citations)
- Probabilistic Representation for Solutions to Nonlinear Fokker--Planck Equations (27 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Hilbert space
Nonlinear system, Mathematical analysis, Uniqueness, Fokker–Planck equation and Wiener process are his primary areas of study.
His Nonlinear system research includes elements of Cauchy problem, Applied mathematics and Schrödinger equation.
The study of Mathematical analysis is intertwined with the study of Type in a number of ways.
His Uniqueness study combines topics from a wide range of disciplines, such as Stochastic differential equation and Gaussian noise.
His Stochastic differential equation study incorporates themes from Stochastic partial differential equation, Monotone polygon and Brownian motion.
The study incorporates disciplines such as Term and Mathematical physics in addition to Fokker–Planck equation.
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