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

Shusen Ding,Guannan Shi,Donna Sylvester

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

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

Shusen Ding, Guannan Shi + Show 1 more

https://doi.org/10.1007/978-3-031-00832-0_4

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Publication Date: Jan 1, 2022

Affiliation: Northeast Petroleum University, Seattle University

#Homotopy Operators #Harmonic Projection + Show 4 more

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Abstract

AbstractIn 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.KeywordsDifferential formsHigher order embeddingsHomotopy operatorProjection operator

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