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BIRS-CMO Workshop
New Trends
in Nonlinear Diffusion:
a Bridge between PDEs,
Analysis and Geometry
(Online) (21w5127)

CMO Oaxaca (online)
September 6-10, 2021

Past Events

2020 Fields Medal Symposium
Alessio Figalli

Online Event
Fields Institute, Toronto
October 19 - 23, 2020

International Conference on Qualitative Properties for Nonlinear Diffusion Equations
The University of Tokyo,
Tokyo, Japan
January 22-23, 2020

Workshop in honor of Alessio Figalli’s Doctor Honoris Causa at UPC. Five talks and a Round Table with Prof. A. Figalli.
Universitat Poltitecnica de Catalunya, Barcelona, ES, November 21, 2019

Winter Workshop on Elliptic and Parabolic Equations.
UAM, Madrid, ES
December 16-18, 2019.

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, I3) of the Departamento de Matemáticas at the Universidad Autónoma de Madrid.

I am PI1 of the Spanish research group MTM2017-85757-P, "Ecuaciones No Lineales y No Locales. Difusión y Geometría." - "Nonlinear and Nonlocal Equations. Diffusion and Geometry", PI2 Mar Gonzalez and founded by MINECO (Spanish Government).

I am a Faculty member of ICMAT Instituto de Ciencias Matemáticas

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, Caffarelli-Kohn-Nirenberg [...] 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.