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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Hodge-Laplacian: Boundary Value Problems on Riemannian Manifolds

The Hodge-Laplacian: Boundary Value Problems on Riemannian Manifolds

Mitrea, Dorina
Mitrea, Irina
Mitrea, Marius

Hardcover

Series: de Gruyter Studies in Mathematics, Book 64

General MathematicsGeometry

ISBN10: 3111480984
ISBN13: 9783111480985
Publisher: de Gruyter
Published: Jan 27 2025
Pages: 624
Weight: 2.61
Height: 1.31 Width: 6.69 Depth: 9.61
Language: English
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.

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