Andere Kunden interessierten sich auch für
![Geometric and Harmonic Analysis on Homogeneous Spaces and Applications]( "Geometric and Harmonic Analysis on Homogeneous Spaces and Applications")
Geometric and Harmonic Analysis on Homogeneous Spaces and Applications74,99 €![Mean Curvature Flow]( "Mean Curvature Flow")
Mean Curvature Flow92,99 €![The Spectrum of Hyperbolic Surfaces]( "The Spectrum of Hyperbolic Surfaces")
The Spectrum of Hyperbolic Surfaces52,99 €![Multivariable Calculus and Differential Geometry]( "Multivariable Calculus and Differential Geometry")
Multivariable Calculus and Differential Geometry27,99 €![Inequalities for Differential Forms]( "Inequalities for Differential Forms")
Inequalities for Differential Forms74,99 €![Generalized Inverse Operators]( "Generalized Inverse Operators")
Generalized Inverse Operators120,99 €![Ergodic Theory and Negative Curvature]( "Ergodic Theory and Negative Curvature")
Ergodic Theory and Negative Curvature55,99 €
The core of this monograph is the development of tools to derive well-posedness results in very general geometric settings for elliptic differential operators. A new generation of Calderón-Zygmund theory is developed for variable coefficient singular integral operators, which turns out to be particularly versatile in dealing with boundary value problems for the Hodge-Laplacian on uniformly rectifiable subdomains of Riemannian manifolds via boundary layer methods. In addition to absolute and relative boundary conditions for differential forms, this monograph treats the Hodge-Laplacian equipped with classical Dirichlet, Neumann, Transmission, Poincaré, and Robin boundary conditions in regular Semmes-Kenig-Toro domains.
Lying at the intersection of partial differential equations, harmonic analysis, and differential geometry, this text is suitable for a wide range of PhD students, researchers, and professionals.
Contents:
Preface
Introduction and Statement of Main Results
Geometric Concepts and Tools
Harmonic Layer Potentials Associated with the Hodge-de Rham Formalism on UR Domains
Harmonic Layer Potentials Associated with the Levi-Civita Connection on UR Domains
Dirichlet and Neumann Boundary Value Problems for the Hodge-Laplacian on Regular SKT Domains
Fatou Theorems and Integral Representations for the Hodge-Laplacian on Regular SKT Domains
Solvability of Boundary Problems for the Hodge-Laplacian in the Hodge-de Rham Formalism
Additional Results and Applications
Further Tools from Differential Geometry, Harmonic Analysis, Geometric Measure Theory, Functional Analysis, Partial Differential Equations, and Clifford Analysis
Bibliography
Index
Lying at the intersection of partial differential equations, harmonic analysis, and differential geometry, this text is suitable for a wide range of PhD students, researchers, and professionals.
Contents:
Preface
Introduction and Statement of Main Results
Geometric Concepts and Tools
Harmonic Layer Potentials Associated with the Hodge-de Rham Formalism on UR Domains
Harmonic Layer Potentials Associated with the Levi-Civita Connection on UR Domains
Dirichlet and Neumann Boundary Value Problems for the Hodge-Laplacian on Regular SKT Domains
Fatou Theorems and Integral Representations for the Hodge-Laplacian on Regular SKT Domains
Solvability of Boundary Problems for the Hodge-Laplacian in the Hodge-de Rham Formalism
Additional Results and Applications
Further Tools from Differential Geometry, Harmonic Analysis, Geometric Measure Theory, Functional Analysis, Partial Differential Equations, and Clifford Analysis
Bibliography
Index
"The book represents the cumulation of a large body of work of the authors. Nonetheless, it is essentially self-contained, including the main geometric and analytic preliminaries. There are a large number of variations of settings. But the book is very well structured, avoiding potential confusions here." Mathematical Reviews