Recent Advances in L^p-Theory of Homotopy Operator on Differential Forms

The purpose of this survey paper is to present an up-to-date account of the recent advances made in the study of L p -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...

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2014; no. 2014; pp. 517 - 536-951
Main Authors Ding, Shusen, Wang, Yong, Shi, Peilin
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2014
Hindawi Publishing Corporation
Hindawi Limited
Subjects
Calculus
Theory
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Summary:The purpose of this survey paper is to present an up-to-date account of the recent advances made in the study of L p -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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/596704