Abstract

TORO, Tatiana. Analysis and geometry on non-smooth domains. Rev. acad. colomb. cienc. exact. fis. nat. [online]. 2017, vol.41, n.161, pp.521-527. ISSN 0370-3908.  https://doi.org/10.18257/raccefyn.512.

This paper is a summary of the talk given with the occasion of the author’s induction as Corresponding Member of the Academia Colombiana de Ciencias Exactas Fisicas y Naturales. We describe recent results in an area of analysis which focuses on the relationship between the geometric properties of a domain and the behavior near the boundary of the solutions to canonical PDEs in this domain.

Keywords : Harmonic measure; Elliptic measure; Uniform rectifiability, A_∞-weight; Medida armónica; Dominio de Lipschitz.

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