7. Solvability of Boundary Problems for the Hodge-Laplacian in the Hodge-de Rham Formalism

Chapters in this book

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