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

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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 . The solution is represented in the form of layer potentials and optimal nontangential maximal function estimates are established. This analysis is carried out under smoothness assumptions which are in the nature of best possible.

Language: English

Format: Paperback

Publisher: American Mathematical Society

Release: February 15, 2001

ISBN: 082182659X

ISBN 13: 9780821826591

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

Michael Taylor

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Language: English

Format: Paperback

Publisher: American Mathematical Society

Release: February 15, 2001

ISBN: 082182659X

ISBN 13: 9780821826591

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

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

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

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