Matteo Bonforte

Postal Address...

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

...and more

Building 17 (ex C-XV), Office 405

matteo.bonforte@uam.es
                 (+34) 91 497 69 32
   (+34) 91 497 48 89

Actual Position

I am a Professor Titular of the Departamento de Matemáticas at the Universidad Autónoma de Madrid.

I am co-PI with Mar Gonzalez of the Spanish research group MTM2017-85757-P, " EDPs No-Lineales: Difusión, Geometría y Aplicaciones" - "Nonlinear PDEs: Diffusion, Geometry and Applications", founded by MINECO (Spanish Government).

I am a Faculty member of ICMAT Instituto de Ciencias Matemáticas

I have co-organized the 2023 Thematic Period on PDEs Diffusion, Geometry, Probability and Free Boundaries at UAM-ICMAT Madrid (ES) in the period June-December 2023.

I am member of the editorial board of the Journal Nonlinear Analysis: Real World Applications.

Research Interests

Nonlinear and/or nonlocal partial differential equations:
asymptotic properties, rates of convergence to equilibrium, Harnack inequalities, higher and boundary regularity for degenerate and singular nonlinear -and also nonlocal- parabolic (and elliptic) 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. Quantitative and constructive stability properties for Gagliardo-Nirenberg-Sobolev inequalities

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