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The Hodge-Laplacian: Boundary Value Problems on Riemannian Manifolds
Hardcover
Series: de Gruyter Studies in Mathematics, Book 64
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
Volume 64, 2016, is a trailblazer of its kind, having been written at a time when new results in Geometric Measure Theory have just emerged, or were still being developed. In particular, this monograph is heavily reliant on the bibliographical items. The latter was at the time an unpublished manuscript which eventually developed into the five-volume series Geometric Harmonic Analysis published by Springer 2022-2023. The progress registered on this occasion greatly impacts the contents of the Hodge-Laplacian and warrants revisiting this monograph in order to significantly sharpen and expand on previous results. This also allows us to provide specific bibliographical references to external work invoked in the new edition.
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.
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