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Fri, May 24, 2024

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Math Seminar Series  (Conferences / Seminars / Lectures)

Analysis and PDE
Speaker: Giulio Tralli
Title: From Gaussian bounds to Wiener-type criteria for parabolic equations
In this talk we discuss the regularity of boundary points for the Dirichlet problem related to a class of linear (possibly degenerate) parabolic equations. We show the validity of Wiener-type criteria for hypoelliptic operators with a fundamental solution satisfying two-sided Gaussian bounds with respect to some reference distance. The Wiener condition is expressed, in analogy with a result by Landis for the heat equation, in terms of a series of balayages. As an application, we present sharp sufficient conditions of regularity for a model class of Hormander operators enjoying suitable homogeneity properties. This is a joint work with F. Uguzzoni.

more information...

Location: C304 Wells Hall [map]
Price: free
Sponsor: Department of Mathematics
Contact: Department of Mathematics
phone pic (517) 353-0844