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Recent Advances in Lp‐Theory of Homotopy Operator on Differential Forms

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  • Shusen Ding
  • Peilin Shi
  • Yong Wang

Abstract

The purpose of this survey paper is to present an up‐to‐date account of the recent advances made in the study of Lp‐theory of the homotopy operator applied to differential forms. Specifically, we will discuss various local and global norm estimates for the homotopy operator T and its compositions with other operators, such as Green’s operator and potential operator.

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:596704
DOI: 10.1155/2014/596704
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