Luca Capogna from Smith College will present a Virginia L. Chatelain Memorial Lecture titled "The Neumann problem in metric measure spaces and applications to non-local p-Laplacians " as part of the Mathematics Department Colloquium Lecture Series. 

Abstract: We review the ongoing program joint with Gibara, Kline, Korte, Snipes and Shanmugalingam, aimed at extending the Caffarelli-Silvestre approach to non-local operators from the Euclidean space to general doubling metric measure spaces. An integral component of this program is the study of the well-posedness of the Neumann problem in metric measure spaces that satisfy a Poincaré inequality and a doubling condition.

The Math Department is a part of K-State’s College of Arts and Sciences.  To learn more about opportunities in Math at K-State, visit the math department website.