The Hodge-Laplacian [online] : Boundary value problems on Riemannian Manifolds / Dorina Mitrea, Irina Mitrea, Marius Mitrea, Michael Taylor

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Material type: Text

TextLanguage: English Series: De Gruyter Studies in Mathematics ; 64Publication details: Berlin : De Gruyter, 2016Description: 1 resursă online (518 p.)ISBN:

9783110484380

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Acces la textul integral numai din contul de acces mobil.

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Frontmatter Preface Contents 1. Introduction and Statement of Main Results 2. Geometric Concepts and Tools 3. Harmonic Layer Potentials Associated with the Hodge-de Rham Formalism on UR Domains 4. Harmonic Layer Potentials Associated with the Levi-Civita Connection on UR Domains 5. Dirichlet and Neumann Boundary Value Problems for the Hodge-Laplacian on Regular SKT Domains 6. Fatou Theorems and Integral Representations for the Hodge-Laplacian on Regular SKT Domains 7. Solvability of Boundary Problems for the Hodge-Laplacian in the Hodge-de Rham Formalism 8. Additional Results and Applications 9. Further Tools from Differential Geometry, Harmonic Analysis, Geometric Measure Theory, Functional Analysis, Partial Differential Equations, and Clifford Analysis Bibliography Index Backmatter

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E-Books List(s) this item appears in: Titluri cărți electronice achiziționate prin Anelis Plus (De Gruyter) | Titluri carți matematică (DC nave) intrate în 2016-2021 | Titluri cărți matematică intrate în 2010-2021 | Titluri cărți matematică intrate în 2016-2022 | Titluri cărți matematică în limba engleză publicate în 2013-2023 | Titluri cărți matematică în limba engleză

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Frontmatter Preface
Contents 1. Introduction and Statement of Main Results
2. Geometric Concepts and Tools
3. Harmonic Layer Potentials Associated with the Hodge-de Rham Formalism on UR Domains
4. Harmonic Layer Potentials Associated with the Levi-Civita Connection on UR Domains
5. Dirichlet and Neumann Boundary Value Problems for the Hodge-Laplacian on Regular SKT Domains
6. Fatou Theorems and Integral Representations for the Hodge-Laplacian on Regular SKT Domains
7. Solvability of Boundary Problems for the Hodge-Laplacian in the Hodge-de Rham Formalism
8. Additional Results and Applications
9. Further Tools from Differential Geometry, Harmonic Analysis, Geometric Measure Theory, Functional Analysis, Partial Differential Equations, and Clifford Analysis
Bibliography
Index
Backmatter

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