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Gregorio Díaz Díaz
Position: Catedrático de universidad (Professor)
Department of Applied Mathematics, Faculty of Mathematics, UCM (Spain)
Programme MODySIM
e-mail: g_diaz@mat.ucm.es
web: http://ochoa.mat.ucm.es/~gdiaz/

Research interests
  • Nonlinear elliptic and parabolic equations
  • Large solutions and State Constraints
  • Deterministic and Stochastic Optimal Control
  • Conservation Laws and Hamilton-Jacobi equations
Some illustrative researchs

* G. Díaz, The probabilistic Brosamler formula for some nonlinear Neumann boundary value problems governed by elliptic possibly degenerate operators, Differential Equations & Applications,  4 (1), 159-179, 2012.

* G. Díaz, A note on the Liouville method applied to elliptic eventually degenerate fully nonlinear equations governed by the Pucci operators and the Keller--Osserman condition, Mathematische Annalen, 353, 145- 159, 2012.

* S. Alarcón, G. Díaz and J.M. Rey, The influence of sources terms on the boundary behavior of the large solutions of quasilinear elliptic equations: the power like case., Zeitschrift für angewandte Mathematik und Physik (ZAMP), 64 (3), 659-677, 2013.

G. Díaz and J.I. Díaz, On the free boundary associated with the stationary Monge-Ampère operator on the set of non strictly convex functionsDiscrete and Continuous Dynamical Systems, 35 (4), 1447-1468, 2015.

S. Alarcón, G. Díaz and J.M. Rey, Large Solutions of Elliptic Semilinear Equations in the Borderline Case. An Exhaustive and Intrinsic Point of View, Journal of Mathematical Analysis and Applications, 431, 365-405, 2015.

* G. Díaz and J.I. Díaz., Parabolic Monge-Ampère Equations Giving Rise to a Free Boundary: The Worn Stone Model. Dynamical Systems, Dynamical Systems and Differential Equations, AIMS Proceedings 2015. Proceedings of the 10th AIMS International Conference (Madrid, Spain), 369-378, 2015.

* L. Álvarez, G. Díaz and J.I. Díaz, Some Qualitative Properties for Geometric Flows and its Euler Implicit Discretization, Nonlinear Analysis, 137, 43-76, 2016.




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