The Hodge-Laplacian di Dorina Mitrea, Irina Mitrea, Marius Mitrea, Michael Taylor edito da Gruyter, Walter de GmbH
Alta reperibilità

The Hodge-Laplacian

Boundary Value Problems on Riemannian Manifolds

EAN:

9783110482669

ISBN:

3110482665

Pagine:
528
Formato:
Hardback
Lingua:
Tedesco
18 app bonus cultura per i nati nel 2005libro acquistabile con carta del docente
Acquistabile con il Bonus 18app o la Carta del docente

Descrizione 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

Spedizione gratuita
€ 253.30
o 3 rate da € 84.43 senza interessi con
Disponibile in 10-12 giorni
servizio Prenota Ritiri su libro The Hodge-Laplacian
Prenota e ritira
Scegli il punto di consegna e ritira quando vuoi

Recensioni degli utenti

e condividi la tua opinione con gli altri utenti