The Hodge-Laplacian
Boundary Value Problems on Riemannian Manifolds
(Sprache: Englisch)
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...
Jetzt vorbestellen
versandkostenfrei
Buch (Gebunden)
154.95 €
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenlose Rücksendung
- Ratenzahlung möglich
Produktdetails
Produktinformationen zu „The Hodge-Laplacian “
Klappentext zu „The Hodge-Laplacian “
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
Autoren-Porträt von Dorina Mitrea, Irina Mitrea, Marius Mitrea, Michael Taylor
D. Mitrea and M. Mitrea, Univ. of Missouri, USA;I. Mitrea, Temple Univ., Philadelphia, USA;M. Taylor, Univ. of North Carolina, USA.
Bibliographische Angaben
- Autoren: Dorina Mitrea , Irina Mitrea , Marius Mitrea , Michael Taylor
- 2016, X, 518 Seiten, Maße: 17,5 x 24,6 cm, Gebunden, Englisch
- Herausgegeben: Dorina Mitrea, Irina Mitrea, Marius Mitrea, Michael Taylor
- Verlag: De Gruyter
- ISBN-10: 3110482665
- ISBN-13: 9783110482669
- Erscheinungsdatum: 10.10.2016
Sprache:
Englisch
Pressezitat
"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
Kommentar zu "The Hodge-Laplacian"
Schreiben Sie einen Kommentar zu "The Hodge-Laplacian".
Kommentar verfassen