Abstract
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. © 2017. Acad. Colomb. Cienc. Ex. Fis. Nat.
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