Kapitel
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Dorina Mitrea
, Irina Mitrea , Marius Mitrea und Michael Taylor
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Kapitel in diesem Buch
- Frontmatter i
- Preface v
- Contents vii
- 1. Introduction and Statement of Main Results 1
- 2. Geometric Concepts and Tools 49
- 3. Harmonic Layer Potentials Associated with the Hodge-de Rham Formalism on UR Domains 109
- 4. Harmonic Layer Potentials Associated with the Levi-Civita Connection on UR Domains 139
- 5. Dirichlet and Neumann Boundary Value Problems for the Hodge-Laplacian on Regular SKT Domains 185
- 6. Fatou Theorems and Integral Representations for the Hodge-Laplacian on Regular SKT Domains 231
- 7. Solvability of Boundary Problems for the Hodge-Laplacian in the Hodge-de Rham Formalism 275
- 8. Additional Results and Applications 315
- 9. Further Tools from Differential Geometry, Harmonic Analysis, Geometric Measure Theory, Functional Analysis, Partial Differential Equations, and Clifford Analysis 371
- Bibliography 501
- Index 507
- Backmatter 517
Kapitel in diesem Buch
- Frontmatter i
- Preface v
- Contents vii
- 1. Introduction and Statement of Main Results 1
- 2. Geometric Concepts and Tools 49
- 3. Harmonic Layer Potentials Associated with the Hodge-de Rham Formalism on UR Domains 109
- 4. Harmonic Layer Potentials Associated with the Levi-Civita Connection on UR Domains 139
- 5. Dirichlet and Neumann Boundary Value Problems for the Hodge-Laplacian on Regular SKT Domains 185
- 6. Fatou Theorems and Integral Representations for the Hodge-Laplacian on Regular SKT Domains 231
- 7. Solvability of Boundary Problems for the Hodge-Laplacian in the Hodge-de Rham Formalism 275
- 8. Additional Results and Applications 315
- 9. Further Tools from Differential Geometry, Harmonic Analysis, Geometric Measure Theory, Functional Analysis, Partial Differential Equations, and Clifford Analysis 371
- Bibliography 501
- Index 507
- Backmatter 517