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

In: High-Dimensional Optimization and Probability

Author

Listed:
  • Shusen Ding

    (Seattle University)

  • Guannan Shi

    (Northeast Petroleum University)

  • Donna Sylvester

    (Seattle University)

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.

Suggested Citation

  • Shusen Ding & Guannan Shi & Donna Sylvester, 2022. "Higher Order Embeddings for the Composition of the Harmonic Projection and Homotopy Operators," Springer Optimization and Its Applications, in: Ashkan Nikeghbali & Panos M. Pardalos & Andrei M. Raigorodskii & Michael Th. Rassias (ed.), High-Dimensional Optimization and Probability, pages 165-183, Springer.
    • Handle: RePEc:spr:spochp:978-3-031-00832-0_4
    DOI: 10.1007/978-3-031-00832-0_4
    as

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