The Hodge-Laplacian
The Hodge-Laplacian Boundary value problems on Riemannian Manifolds / [online] :
Dorina Mitrea, Irina Mitrea, Marius Mitrea, Michael Taylor
- Berlin : De Gruyter, 2016
- 1 resursă online (518 p.)
- De Gruyter Studies in Mathematics, 64 .
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
9783110484380
DE-Matematică
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
9783110484380
DE-Matematică