Share
The Hodge-Laplacian: Boundary Value Problems on Riemannian Manifolds (de Gruyter Studies in Mathematics) (in English)
Dorina Mitrea; Irina Mitrea; Marius Mitrea; Michael Taylor (Author)
·
De Gruyter
· Hardcover
The Hodge-Laplacian: Boundary Value Problems on Riemannian Manifolds (de Gruyter Studies in Mathematics) (in English) - Dorina Mitrea; Irina Mitrea; Marius Mitrea; Michael Taylor
$ 249.71
$ 312.14
You save: $ 62.43
Choose the list to add your product or create one New List
✓ Product added successfully to the Wishlist.
Go to My WishlistsIt will be shipped from our warehouse between
Tuesday, June 04 and
Wednesday, June 05.
You will receive it anywhere in United States between 1 and 3 business days after shipment.
Synopsis "The Hodge-Laplacian: Boundary Value Problems on Riemannian Manifolds (de Gruyter Studies in Mathematics) (in English)"
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: PrefaceIntroduction and Statement of Main ResultsGeometric Concepts and ToolsHarmonic Layer Potentials Associated with the Hodge-de Rham Formalism on UR DomainsHarmonic Layer Potentials Associated with the Levi-Civita Connection on UR DomainsDirichlet and Neumann Boundary Value Problems for the Hodge-Laplacian on Regular SKT DomainsFatou Theorems and Integral Representations for the Hodge-Laplacian on Regular SKT DomainsSolvability of Boundary Problems for the Hodge-Laplacian in the Hodge-de Rham FormalismAdditional Results and ApplicationsFurther Tools from Differential Geometry, Harmonic Analysis, Geometric Measure Theory, Functional Analysis, Partial Differential Equations, and Clifford AnalysisBibliographyIndex
- 0% (0)
- 0% (0)
- 0% (0)
- 0% (0)
- 0% (0)
All books in our catalog are Original.
The book is written in English.
The binding of this edition is Hardcover.
✓ Producto agregado correctamente al carro, Ir a Pagar.
