What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Geometry
His scientific interests lie mostly in Mathematical analysis, Calculus of variations, Shape optimization, Sobolev space and Calculus.
His Mathematical analysis research incorporates elements of Classical mechanics, Pure mathematics, Applied mathematics and Relaxation.
His Calculus of variations research includes themes of Elasticity, Coercive function, Nonlinear system and Of the form.
His Shape optimization research is multidisciplinary, incorporating elements of Optimization problem and Dirichlet boundary condition.
His Sobolev space research is multidisciplinary, incorporating perspectives in Borel measure and Combinatorics.
The concepts of his Calculus study are interwoven with issues in Cylinder, Motion, Compressibility and Inviscid flow.
His most cited work include:
- Variational Analysis in Sobolev and BV Spaces: Applications to PDEs and Optimization (322 citations)
- Variational methods in shape optimization problems (318 citations)
- Semicontinuity, Relaxation and Integral Representation in the Calculus of Variations (263 citations)
What are the main themes of his work throughout his whole career to date?
Giuseppe Buttazzo spends much of his time researching Mathematical analysis, Shape optimization, Mathematical optimization, Applied mathematics and Pure mathematics.
The study incorporates disciplines such as Eigenvalues and eigenvectors and Nonlinear system in addition to Mathematical analysis.
His Shape optimization study incorporates themes from Dirichlet's energy, Bounded function, Elliptic operator, Domain and Scaling.
In general Mathematical optimization study, his work on Optimal control often relates to the realm of Mass transportation, Transportation cost and Population, thereby connecting several areas of interest.
His study on Applied mathematics also encompasses disciplines like
- Optimization problem that connect with fields like Function,
- Class and related Open set.
His Pure mathematics study combines topics in areas such as Space and Measure.
He most often published in these fields:
- Mathematical analysis (30.77%)
- Shape optimization (20.15%)
- Mathematical optimization (18.32%)
What were the highlights of his more recent work (between 2012-2021)?
- Shape optimization (20.15%)
- Applied mathematics (16.12%)
- Mathematical analysis (30.77%)
In recent papers he was focusing on the following fields of study:
His main research concerns Shape optimization, Applied mathematics, Mathematical analysis, Optimization problem and Combinatorics.
His work carried out in the field of Shape optimization brings together such families of science as Dirichlet's energy, Open set, Type, Sobolev space and Domain.
The Applied mathematics study combines topics in areas such as Optimal control, Schrödinger's cat, Minimization problem, Control variable and Dirichlet distribution.
In the field of Mathematical analysis, his study on Laplace operator overlaps with subjects such as Elastic membrane.
His research in Optimization problem tackles topics such as Insulator which are related to areas like Mechanics and Circular symmetry.
His Combinatorics research is multidisciplinary, relying on both Lambda, Class, Measure and Omega.
Between 2012 and 2021, his most popular works were:
- The Optimal Sampling Pattern for Linear Control Systems (35 citations)
- Spectral Optimization Problems for Potentials and Measures (18 citations)
- Continuity and Estimates for Multimarginal Optimal Transportation Problems with Singular Costs (17 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Geometry
Giuseppe Buttazzo mainly investigates Shape optimization, Mathematical analysis, Mathematical optimization, Optimization problem and Applied mathematics.
His studies in Shape optimization integrate themes in fields like Dirichlet's energy, Pure mathematics, Sobolev space, Measure and Class.
The Mathematical analysis study combines topics in areas such as Eigenvalues and eigenvectors and Reinforcement.
His work deals with themes such as Computation and Coulomb, which intersect with Mathematical optimization.
His Optimization problem research is multidisciplinary, incorporating perspectives in Symmetry breaking, Dirichlet eigenvalue and Insulator.
His Applied mathematics research integrates issues from Conservation law, Sign, Partial differential equation and Optimal control.
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.
