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Coloquio UAM-ICMAT

PDE in Lie groups

Giovanna Citti (Università di Bologna, Italia)
Viernes, 20 de octubre, Dpto. de Matemáticas, Aula 520, 12:00h.  

[yjsgacs id="Abstract"]
[yjsgacgroup title="Abstract" active="0"]The motivation of the problem comes from a problem of visual perception. Indeed the visual cortex has been modelled as a Lie group, with a totally degenerate metric, also called subriemannian. The associated PDE can be expressed as a sum of squares of vector fields, and the study of these type of equations under suitable geometric condition, has been started by Hormander and Rothschild – Stein. However regularity at the boundary, well known in the Euclidean setting, was still open even for the subriemannian Laplacian. We will face the problem with a suitable extension of a result of Caffarelli and Silvestre to this degenerate setting. [/yjsgacgroup]

Location Departamento de Matemáticas, Aula 520, 12:00h