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- Jesús Ildefonso Díaz Díaz

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
30
Citations
6,346
333
World Ranking
2663
National Ranking
52

- 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.

- 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)

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.

- Mathematical analysis (60.18%)
- Nonlinear system (29.64%)
- Uniqueness (17.66%)

- Mathematical analysis (60.18%)
- Nonlinear system (29.64%)
- Boundary value problem (14.97%)

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.

- 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)

- 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.

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.

Nonlinear partial differential equations and free boundaries

J. I. Diaz.

**(1985)**

868 Citations

Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics

S. N Antontsev;J. I Díaz;S Shmarev.

**(2001)**

394 Citations

Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics. Progress in Nonlinear Differential Equations and Their Applications, Vol 48

SN Antontsev;JI Diaz;S Shmarev;AJ Kassab.

Applied Mechanics Reviews **(2002)**

390 Citations

Existence et unicité de solutions positives pour certaines équations elliptiques quasilinéaires

J. I. Diaz;J. E. Saa;Rapp. Haim Brezis.

Comptes rendus de l'Académie des sciences. Série 1, Mathématique **(1987)**

356 Citations

On a nonlinear parabolic problem arising in some models related to turbulent flows

Jesus Ildefonso Diaz;Francois de Thelin.

Siam Journal on Mathematical Analysis **(1994)**

224 Citations

Existence and regularity of renormalized solutions for some elliptic problems involving derivatives of nonlinear terms

L. Boccardo;D. Giachetti;J.I. Diaz;F. Murat.

Journal of Differential Equations **(1993)**

215 Citations

An elliptic equation with singular nonlinearity

Jesús Ildefonso Díaz Díaz;J.M. Morel;L. Oswald.

Communications in Partial Differential Equations **(1987)**

209 Citations

Energy Methods for Free Boundary Problems

S. N. Antontsev;J. I. Díaz;S. Shmarev.

**(2002)**

205 Citations

Some qualitative properties for the total variation flow

Fuensanta Andreu;Vicente Caselles;Jesus Ildefonso Díaz;José Mazón.

Journal of Functional Analysis **(2002)**

186 Citations

On a Nonlinear Degenerate Parabolic Equation in Infiltration or Evaporation through a Porous Medium.

Jesus Ildefonso Diaz;Robert Kersner.

Journal of Differential Equations **(1987)**

159 Citations

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