Elliptic measure and the geometry of domains in Euclidean space

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.

analysis of PDEs

Audience: researchers in the topic

Comments: To join Prof. Tatiana's talk, please use the following link and information:

puc-rio.zoom.us/j/402375411?pwd=N05uYWVBOGMzRm4yU21kSjBjYVRVUT09

Meeting ID: 402 375 411 Password: 084011

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Rio de Janeiro webinar on analysis and partial differential equations

Series comments: Talks are held twice a month; start time and day of the week may vary, according to the speaker time zone. A link to join each webinar will be made available in due time here and at sites.google.com/view/webinarpde/home

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