What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Real number
- Geometry
His primary scientific interests are in Mathematical analysis, Dirichlet boundary condition, Bounded function, p-Laplacian and Uniqueness.
His Mathematical analysis research focuses on Neumann boundary condition, Boundary value problem, Nonlinear boundary conditions, Initial value problem and Mixed boundary condition.
His studies in Neumann boundary condition integrate themes in fields like Heat equation and Laplace operator.
The study incorporates disciplines such as Elliptic systems, Pure mathematics and Combinatorics in addition to Dirichlet boundary condition.
His study in Bounded function is interdisciplinary in nature, drawing from both Discrete mathematics, Domain, Type, Domain and Existence theorem.
His work carried out in the field of Uniqueness brings together such families of science as Flow and Diffusion equation.
His most cited work include:
- Nonlocal Diffusion Problems (201 citations)
- Asymptotic behavior for nonlocal diffusion equations (197 citations)
- How to Approximate the Heat Equation with Neumann Boundary Conditions by Nonlocal Diffusion Problems (148 citations)
What are the main themes of his work throughout his whole career to date?
Julio D. Rossi mainly investigates Mathematical analysis, Bounded function, Combinatorics, Boundary value problem and Uniqueness.
Mathematical analysis is represented through his Neumann boundary condition, Domain, Limit, p-Laplacian and Mixed boundary condition research.
Julio D. Rossi works mostly in the field of p-Laplacian, limiting it down to concerns involving Laplace operator and, occasionally, Dirichlet problem.
His research on Bounded function also deals with topics like
- Domain that intertwine with fields like Mathematical physics,
- Sobolev space that connect with fields like Trace.
His research in Boundary value problem intersects with topics in Partial differential equation, Heat equation and Diffusion equation.
His Uniqueness research is multidisciplinary, incorporating perspectives in Dirichlet distribution and Applied mathematics.
He most often published in these fields:
- Mathematical analysis (60.31%)
- Bounded function (25.62%)
- Combinatorics (24.06%)
What were the highlights of his more recent work (between 2018-2021)?
- Combinatorics (24.06%)
- Mathematical analysis (60.31%)
- Uniqueness (20.31%)
In recent papers he was focusing on the following fields of study:
His primary areas of investigation include Combinatorics, Mathematical analysis, Uniqueness, Eigenvalues and eigenvectors and Laplace operator.
His Combinatorics research includes themes of Domain, Bounded function and Convex hull, Regular polygon.
His Mathematical analysis research incorporates elements of Mean curvature flow and Perimeter.
The concepts of his Uniqueness study are interwoven with issues in Euclidean space, Limit, Viscosity solution, Applied mathematics and Dirichlet distribution.
In his research, Continuous solution, Affine transformation, Dimension and Interpretation is intimately related to Hessian matrix, which falls under the overarching field of Eigenvalues and eigenvectors.
His Laplace operator research incorporates themes from Infinity, Boundary value problem and Tree.
Between 2018 and 2021, his most popular works were:
- Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets (22 citations)
- Games for eigenvalues of the Hessian and concave/convex envelopes (20 citations)
- Regularity properties for p−dead core problems and their asymptotic limit as p→∞ (14 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Real number
- Geometry
The scientist’s investigation covers issues in Combinatorics, Eigenvalues and eigenvectors, Uniqueness, Applied mathematics and Laplace operator.
His study looks at the relationship between Combinatorics and fields such as Domain, as well as how they intersect with chemical problems.
His Eigenvalues and eigenvectors study incorporates themes from Geometry and topology, Bounded function and Hessian matrix.
His study with Uniqueness involves better knowledge in Mathematical analysis.
Julio D. Rossi studies Mathematical analysis, focusing on Evolution equation in particular.
His Laplace operator research incorporates elements of Infinity, Type, Boundary value problem and Pure mathematics.
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