CORDIS Project
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This project focuses on the analysis of harmonic functions and their boundary behavior, exploring concepts such as harmonic measure and unique continuation. It aims to advance understanding in analysis and geometry through interconnected research threads.
The study of harmonic functions is a cornerstone of partial differential equations.
This project pursues three connected threads related to boundary behaviour: (i) harmonic measure, where we study its dimension and quantitative stability; (ii) boundary unique continuation for harmonic functions, extending Bers’ theorem in the plane to elliptic operators and improving unique continuation results for Neumann problems in rough domains; and (iii) boundary regularity for area-minimizing currents, in…
UNIVERSITAT AUTONOMA DE BARCELONA
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