Recent Advances in Lp-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 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 wi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/596704 |
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| _version_ | 1832552572234235904 |
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| author | Shusen Ding Peilin Shi Yong Wang |
| author_facet | Shusen Ding Peilin Shi Yong Wang |
| author_sort | Shusen Ding |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-784fe6da7c1f412e87ec26c9bf712555 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-784fe6da7c1f412e87ec26c9bf7125552025-02-03T05:58:18ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/596704596704Recent Advances in Lp-Theory of Homotopy Operator on Differential FormsShusen Ding0Peilin Shi1Yong Wang2Department of Mathematics, Seattle University, Seattle, WA 98122, USADepartment of Epidemiology, Harvard University, Boston, MA 02115, USADepartment of Mathematics, Harbin Institute of Technology, Harbin, ChinaThe 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.http://dx.doi.org/10.1155/2014/596704 |
| spellingShingle | Shusen Ding Peilin Shi Yong Wang Recent Advances in Lp-Theory of Homotopy Operator on Differential Forms Abstract and Applied Analysis |
| title | Recent Advances in Lp-Theory of Homotopy Operator on Differential Forms |
| title_full | Recent Advances in Lp-Theory of Homotopy Operator on Differential Forms |
| title_fullStr | Recent Advances in Lp-Theory of Homotopy Operator on Differential Forms |
| title_full_unstemmed | Recent Advances in Lp-Theory of Homotopy Operator on Differential Forms |
| title_short | Recent Advances in Lp-Theory of Homotopy Operator on Differential Forms |
| title_sort | recent advances in lp theory of homotopy operator on differential forms |
| url | http://dx.doi.org/10.1155/2014/596704 |
| work_keys_str_mv | AT shusending recentadvancesinlptheoryofhomotopyoperatorondifferentialforms AT peilinshi recentadvancesinlptheoryofhomotopyoperatorondifferentialforms AT yongwang recentadvancesinlptheoryofhomotopyoperatorondifferentialforms |