What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Algebra
- Geometry
Mathematical analysis, Nonlinear system, Uniqueness, Boundary value problem and Elliptic curve are his primary areas of study.
Jesús Ildefonso Díaz Díaz regularly ties together related areas like Function in his Mathematical analysis studies.
His work carried out in the field of Nonlinear system brings together such families of science as Chemical reaction, Geometry, Homogenization, Bounded function and Fluid mechanics.
His study in Uniqueness is interdisciplinary in nature, drawing from both Motion, Parabolic partial differential equation, Boussinesq approximation and Compressibility.
His Boundary value problem research includes themes of Initial value problem and Evolution equation.
The concepts of his Elliptic curve study are interwoven with issues in Open set and Monotone polygon.
His most cited work include:
- Existence et unicité de solutions positives pour certaines équations elliptiques quasilinéaires (195 citations)
- Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics (169 citations)
- On a nonlinear parabolic problem arising in some models related to turbulent flows (135 citations)
What are the main themes of his work throughout his whole career to date?
Jesús Ildefonso Díaz Díaz spends much of his time researching Mathematical analysis, Nonlinear system, Uniqueness, Boundary value problem and Partial differential equation.
His research on Mathematical analysis often connects related areas such as Type.
The various areas that Jesús Ildefonso Díaz Díaz examines in his Type study include Function and Mathematical physics.
In his study, Compact space is inextricably linked to Energy method, which falls within the broad field of Nonlinear system.
His research combines Homogenization and Boundary value problem.
His Free boundary problem study integrates concerns from other disciplines, such as Classical mechanics, Magnetic confinement fusion and Stellarator.
He most often published in these fields:
- Mathematical analysis (60.18%)
- Nonlinear system (29.64%)
- Uniqueness (17.66%)
What were the highlights of his more recent work (between 2012-2021)?
- Mathematical analysis (60.18%)
- Nonlinear system (29.64%)
- Boundary value problem (14.97%)
In recent papers he was focusing on the following fields of study:
His primary areas of study are Mathematical analysis, Nonlinear system, Boundary value problem, Type and Domain.
His work in the fields of Mathematical analysis, such as Uniqueness, Schrödinger equation and Weak solution, overlaps with other areas such as Term.
Jesús Ildefonso Díaz Díaz interconnects Energy method, Partial differential equation, Monotone polygon and Applied mathematics in the investigation of issues within Nonlinear system.
His Boundary value problem research is multidisciplinary, incorporating elements of Operator and Numerical analysis.
His Type research includes elements of Zero and Mathematical physics.
His Domain research incorporates themes from Dirichlet problem and Bounded function.
Between 2012 and 2021, his most popular works were:
- A nonlocal memory strange term arising in the critical scale homogenization of a diffusion equation with a dynamic boundary condition (27 citations)
- Self-similar solutions with compactly supported profile of some nonlinear Schrödinger equations (20 citations)
- Change of homogenized absorption term in diffusion processes with reaction on the boundary of periodically distributed asymmetric particles of critical size (19 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Geometry
Jesús Ildefonso Díaz Díaz mainly investigates Mathematical analysis, Boundary value problem, Nonlinear system, Schrödinger equation and Homogenization.
His research in Mathematical analysis focuses on subjects like Type, which are connected to Zero.
He combines subjects such as Bounded function, Uniqueness and Applied mathematics with his study of Boundary value problem.
His studies deal with areas such as Ode and Diffusion equation as well as Nonlinear system.
He focuses mostly in the field of Schrödinger equation, narrowing it down to topics relating to Function and, in certain cases, Laplace operator, Eigenvalues and eigenvectors, Continuum, Elliptic curve and Energy functional.
His Homogenization research is multidisciplinary, incorporating perspectives in Geometry and topology, p-Laplacian, Elliptic partial differential equation and Special case.
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