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3rd Conference on Recent Trends in Nonlinear Phenomena
Perugia (Italy)
September 28-30, 2016

Past Events

Conference on
Qualitative aspects of the theory of nonlocal equations
The Fields Institute
Toronto (Canada)
May 16-20, 2016

Summer Course
CIME 2016
Nonlocal and nonlinear diffusions and interactions
New methods and directions

Cetraro (Italy)
July 4-8, 2016

Summer Course
Frontiers of Mathematics and Applications IV
Santander (Spain)
July 20-24, 2015

Postal Address...

Departamento de Matemáticas
Universidad Autónoma de Madrid
Campus de Cantoblanco
28049 Madrid

...and more

Building 17 (ex C-XV), Office 405

    [phone]             (+34) 91 497 69 32
[fax]    (+34) 91 497 48 89

Actual Position

I am a Professor (Contratado Doctor con I3) of the Departamento de Matemáticas at the Universidad Autónoma de Madrid.

I am PI2 of the Spanish research group MTM2014-52240-P, "Ecuaciones de Difusión No Lineales y Aplicaciones" - "Nonlinear Diffusion Equations and Applications" - PI1 Juan Luis Vázquez and founded by MINECO (Spanish Government).

In this academic year 2016/2017 I am teaching two courses at UAM: Partial Differential Equations for students of the Master in Mathematics and Calculus I for students of the 1st year of Engineering (Informatics).

Research Interests

Nonlinear and/or nonlocal partial differential equations:
asymptotic properties, rates of convergence to equilibrium, regularity and Harnack inequalities for degenerate and singular nonlinear -and also nonlocal- parabolic PDE in the Euclidean setting and on Riemannian manifolds. Nonlinear (fast) diffusion flows of porous medium or p-Laplacian type. Total variation flow.

Functional inequalities (also with weights): Sobolev, Gagliardo-Nirenberg, Hardy, Poincaré, Logarithmic Sobolev, [...] and their application to PDE.

Entropy methods for nonlinear flows, in the Euclidean setting and on Riemannian manifolds: a bridge from functional inequalities to PDE and geometry.