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

Series: Memoirs of the American Mathematical Society

Studies the boundary-value problems for second-order elliptic operators in Lipschitz sub domains of Riemannian manifolds. This book discusses the theory for Cauchy type operators on Lipschitz submanifolds of co dimension one (focused on boundedness properties and jump relations).