Institution: UAM
Position: Profesor Titular de Universidad
Office: 103
Phone: +34 912999 723
Email: matteo.bonforte@uam.es
About:
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 PID2023-150166NB-I00, Nonlinear PDEs: Flows, Inequalities and Geometry, founded by the 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.
