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The Hodge-Laplacian - Boundary Value Problems on Riemannian Manifolds (Hardcover) Loot Price: R4,637
Discovery Miles 46 370
The Hodge-Laplacian - Boundary Value Problems on Riemannian Manifolds (Hardcover): Dorina Mitrea, Irina Mitrea, Marius Mitrea,...

The Hodge-Laplacian - Boundary Value Problems on Riemannian Manifolds (Hardcover)

Dorina Mitrea, Irina Mitrea, Marius Mitrea, Michael Taylor

Series: De Gruyter Studies in Mathematics

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Loot Price R4,637 Discovery Miles 46 370 | Repayment Terms: R435 pm x 12*

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The core of this monograph is the development of tools to derive well-posedness results in very general geometric settings for elliptic differential operators. A new generation of Calderon-Zygmund theory is developed for variable coefficient singular integral operators, which turns out to be particularly versatile in dealing with boundary value problems for the Hodge-Laplacian on uniformly rectifiable subdomains of Riemannian manifolds via boundary layer methods. In addition to absolute and relative boundary conditions for differential forms, this monograph treats the Hodge-Laplacian equipped with classical Dirichlet, Neumann, Transmission, Poincare, and Robin boundary conditions in regular Semmes-Kenig-Toro domains. Lying at the intersection of partial differential equations, harmonic analysis, and differential geometry, this text is suitable for a wide range of PhD students, researchers, and professionals. Contents: Preface Introduction and Statement of Main Results Geometric Concepts and Tools Harmonic Layer Potentials Associated with the Hodge-de Rham Formalism on UR Domains Harmonic Layer Potentials Associated with the Levi-Civita Connection on UR Domains Dirichlet and Neumann Boundary Value Problems for the Hodge-Laplacian on Regular SKT Domains Fatou Theorems and Integral Representations for the Hodge-Laplacian on Regular SKT Domains Solvability of Boundary Problems for the Hodge-Laplacian in the Hodge-de Rham Formalism Additional Results and Applications Further Tools from Differential Geometry, Harmonic Analysis, Geometric Measure Theory, Functional Analysis, Partial Differential Equations, and Clifford Analysis Bibliography Index

General

Imprint: De Gruyter
Country of origin: Germany
Series: De Gruyter Studies in Mathematics
Release date: October 2016
First published: 2016
Authors: Dorina Mitrea • Irina Mitrea • Marius Mitrea • Michael Taylor
Dimensions: 240 x 170 x 33mm (L x W x T)
Format: Hardcover - Cloth over boards
Pages: 528
ISBN-13: 978-3-11-048266-9
Categories: Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
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LSN: 3-11-048266-5
Barcode: 9783110482669

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