Navigation überspringen
Universitätsbibliothek Heidelberg
Standort: ---
Exemplare: ---
 Online-Ressource
Verfasst von:Mitrea, Dorina [VerfasserIn]   i
 Mitrea, Irina [VerfasserIn]   i
 Mitrea, Marius [VerfasserIn]   i
 Taylor, Michael Eugene [VerfasserIn]   i
Titel:The Hodge-Laplacian
Titelzusatz:boundary value problems on Riemannian manifolds
Institutionen:Walter de Gruyter GmbH & Co. KG [Verlag]   i
Verf.angabe:Dorina Mitrea, Irina Mitrea, Marius Mitrea, Michael Taylor
Ausgabe:2nd edition
Verlagsort:Berlin ; Boston
Verlag:De Gruyter
E-Jahr:2025
Jahr:[2025]
Umfang:1 Online-Ressource (XI, 608 Seiten)
Gesamttitel/Reihe:De Gruyter studies in mathematics ; volume 64
 De Gruyter eBook-Paket Mathematik
ISBN:978-3-11-148140-1
 978-3-11-148389-4
Abstract: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:PrefaceIntroduction and Statement of Main ResultsGeometric Concepts and ToolsHarmonic Layer Potentials Associated with the Hodge-de Rham Formalism on UR DomainsHarmonic Layer Potentials Associated with the Levi-Civita Connection on UR DomainsDirichlet and Neumann Boundary Value Problems for the Hodge-Laplacian on Regular SKT DomainsFatou Theorems and Integral Representations for the Hodge-Laplacian on Regular SKT DomainsSolvability of Boundary Problems for the Hodge-Laplacian in the Hodge-de Rham FormalismAdditional Results and ApplicationsFurther Tools from Differential Geometry, Harmonic Analysis, Geometric Measure Theory, Functional Analysis, Partial Differential Equations, and Clifford AnalysisBibliographyIndex
DOI:doi:10.1515/9783111481401
URL:Volltext: https://dx.doi.org/10.1515/9783111481401
 Volltext: https://doi.org/10.1515/9783111481401
 Verlag: https://www.degruyterbrill.com/isbn/9783111481401
 Cover: https://www.degruyterbrill.com/document/cover/isbn/9783111481401/original
 DOI: https://doi.org/10.1515/9783111481401
Datenträger:Online-Ressource
Sprache:eng
Bibliogr. Hinweis:Erscheint auch als : Druck-Ausgabe: Mitrea, Dorina, 1965 - : The Hodge-Laplacian. - 2nd edition. - Berlin : De Gruyter, 2025. - XI, 608 Seiten
Sach-SW:MATHEMATICS / Differential Equations / Partial
K10plus-PPN:1915198240
Verknüpfungen:→ Übergeordnete Aufnahme
 
 
Lokale URL UB: Zum Volltext

Permanenter Link auf diesen Titel (bookmarkfähig):  https://katalog.ub.uni-heidelberg.de/titel/69345518   QR-Code
zum Seitenanfang