Layer Potentials, the Hodge Laplacian, and Global Boundary Problems in Nonsmooth Riemannian Manifolds

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).