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Higher Order Embeddings for the Composition of the Harmonic Projection and Homotopy Operators

Shusen Ding (), Guannan Shi () and Donna Sylvester ()
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Shusen Ding: Seattle University
Guannan Shi: Northeast Petroleum University
Donna Sylvester: Seattle University

A chapter in High-Dimensional Optimization and Probability, 2022, pp 165-183 from Springer

Abstract: Abstract In this chapter, the higher order embedding estimates for the composition of the homotopy and harmonic projection operators on differential forms are constructed, the higher regularity of this composition is discussed, and some applications of the main results are presented.

Keywords: Differential forms; Higher order embeddings; Homotopy operator; Projection operator (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-00832-0_4

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DOI: 10.1007/978-3-031-00832-0_4

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