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The Hodge-laplacian: Boundary Value Problems on Riemannian Manifolds (De Gruyter Studies in Mathematics) (de Gruyter Studies in Mathematics, 64) by Mitrea, Dorina ;Mitrea, Irina ;Mitrea, Marius ;Taylor, Michael is a nonfiction available to read on EtoBox.

What is The Hodge-laplacian: Boundary Value Problems on Riemannian Manifolds (De Gruyter Studies in Mathematics) (de Gruyter Studies in Mathematics, 64) about?

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 Calderón-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, Poincaré, 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 Neum

Who reads The Hodge-laplacian: Boundary Value Problems on Riemannian Manifolds (De Gruyter Studies in Mathematics) (de Gruyter Studies in Mathematics, 64)?

Author

Mitrea, Dorina ;Mitrea, Irina ;Mitrea, Marius ;Taylor, Michael

Publisher

de Gruyter GmbH, Walter

Published

2016

Language

EN

ISBN

9783110482669

Category

nonfiction

Subjects

Mathematics, Stem