Higher-order analogues of the exterior derivative complex

Monday, November 18, 2013 -
3:15pm to 4:15pm
I will begin by presenting earlier joint work with E. M. Stein concerning div-curl type inequalities for the exterior derivative complex and its adjoint in Euclidean space R^n. I will then offer various, higher-order generalizations of the notion of exterior derivative that stem from recent work of Bourgain-Brezis and Van Schaftingen, and discuss related div-curl type estimates for such operators. Part of this work is joint with A. Raich.
Loredana Lanzani
University of Arkansas
Event Location: 
Fine Hall 314