Home
The Hodge-Laplacian by Dorina Mitrea, Hardcover | Indigo Chapters
Loading Inventory...
Coles
The Hodge-Laplacian by Dorina Mitrea, Hardcover | Indigo Chapters
From Dorina Mitrea
Current price: $273.00
![The Hodge-Laplacian by Dorina Mitrea, Hardcover | Indigo Chapters](https://dynamic.indigoimages.ca/books/9783110482669.jpg?scaleup=true&width=600&quality=85&lang=en)
![The Hodge-Laplacian by Dorina Mitrea, Hardcover | Indigo Chapters](https://dynamic.indigoimages.ca/books/9783110482669.jpg?scaleup=true&width=600&quality=85&lang=en)
Coles
The Hodge-Laplacian by Dorina Mitrea, Hardcover | Indigo Chapters
From Dorina Mitrea
Current price: $273.00
Loading Inventory...
Size: 25.4 x 240 x 1019
*Product information may vary - to confirm product availability, pricing, shipping and return information please contact Coles
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 Calder n-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, Poincar , 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 | The Hodge-Laplacian by Dorina Mitrea, Hardcover | Indigo Chapters