Mathematics Research Institute


Runge approximation and unique continuation properties

M. Ángeles García Ferrero (Max-Planck-Institute for Mathematics in the Sciences, Leipzig)

Fecha: 05/02/2020 12:00
Lugar: Sala de Grados I, Facultad de Ciencias

Holomorphic functions enjoy the following two well-known properties: - if they vanish in a subset, they must be identically zero, - they can be approximated by polynomials, under mild conditions on the set of analyticity. Unique continuation and Runge-type approximation properties share this same flavour in the setting of solutions to more general partial differential equations. In this talk I will review some of these dual properties for both local and nonlocal operators. I will also discuss some applications, including to the context of inverse problems.