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The Hodge-Laplacian

Mitrea, Dorina / Mitrea, Irina / Mitrea, Marius / Taylor, Michael

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(Hardback | ISBN 9783110482669 | 518 pages)

Summary

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 CalderÑn-Zygmund theory is developed for variable coefficient singular integral operators. At the intersection of PDEs, harmonic analysis and differential geometry this text is suitable for a wide range of PhD students, researchers and professionals.