Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds / Dorina Mitrea, Marius Mitrea, Michael Taylor

This monograph studies boundary-value problems for second-order elliptic operators in Lipschitz subdomains of Riemannian manifolds. It develops a theory for Cauchy type operators on Lipschitz submanifolds of codimension one (focused on boundedness properties and jump relations).