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Title:
Elliptic measure and the geometry of domains in Euclidean space
Speaker:
Abstract:
In this talk we will discuss the correspondence between the properties of the solutions of a class of PDEs and the geometry of sets in Euclidean space. In particular we will examine the relationship between the behavior of the elliptic measure of a certain class divergence form uniformly elliptic operators on a domain and the structure of its boundary. This work mixes elements of geometric measure theory, free boundary regularity problems and harmonic analysis.
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