Maria Jesús Carro from Universidad Complutense de Madrid will present a colloquium titled “Boundary Value Problems for the Laplacian and Muckenhoupt Weights” as part of the Mathematics Department Colloquium Lecture Series.

Abstract: We shall present several classical boundary value problems for the Laplacian on Graph Lipstchitz Domains in the complex plane which can be solved using Harmonic Analysis techniques via the use of Muckenhoupt weights. We will start by introducing these weights and their main properties, present the original technique due to C. Kenig in the 80’s dealing with the Dirichlet problem and move up to a recent result related with the solution of a transmission problem. This is a joint work with Teresa Luque (Univ. Complutense de Madrid, Spain), Virginia Naibo (Kansas State University), Carmen Ortiz-Caraballo (Univ. of Extremadura, Spain) and María Soria (Rutgers University). 

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.