Higher-order analogues of the exterior derivative complex

Higher-order analogues of the exterior derivative complex

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Loredana Lanzani , University of Arkansas
Fine Hall 314

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.