[PDF.77jx] Layer Potentials, the Hodge Laplacian, and Global Boundary Problems in Nonsmooth Reimannian Manifolds (Memoirs of the American Mathematical Society)

Layer Potentials, the Hodge Laplacian, and Global Boundary Problems in Nonsmooth Reimannian Manifolds (Memoirs of the American Mathematical Society)

[PDF.sw42] Layer Potentials, the Hodge Laplacian, and Global Boundary Problems in Nonsmooth Reimannian Manifolds (Memoirs of the American Mathematical Society)

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 | #9718075 in Books |  2001-03 | Original language:English |  9.75 x7.00 x.50l,.55 | File type: PDF | 120 pages

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The general aim of the present monograph is to study boundary-value problems for second-order elliptic operators in Lipschitz subdomains of Riemannian manifolds. In the first part it develops a theory for Cauchy type operators on Lipschitz submanifolds of codimension one (focused on boundedness properties and jump relations). The solution is represented in the form of layer potentials and optimal nontangential maximal function estimates are established. This analysis is ...

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