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