A Classification of Fourth-Order Dissipative Differential Operators
This paper is devoted to the classification of the fourth-order dissipative differential operators by the boundary conditions. Subject to certain conditions, we determine some nonself-adjoint boundary conditions that generate the fourth-order differential operators to be dissipative. And under certa...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/7510313 |
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| _version_ | 1832554561332576256 |
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| author | Tao Wang Ji-jun Ao Mei-chun Yang |
| author_facet | Tao Wang Ji-jun Ao Mei-chun Yang |
| author_sort | Tao Wang |
| collection | DOAJ |
| description | This paper is devoted to the classification of the fourth-order dissipative differential operators by the boundary conditions. Subject to certain conditions, we determine some nonself-adjoint boundary conditions that generate the fourth-order differential operators to be dissipative. And under certain conditions, we prove that these dissipative operators have no real eigenvalues. |
| format | Article |
| id | doaj-art-454dcf1ce3d046dca0134aea40865676 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-454dcf1ce3d046dca0134aea408656762025-02-03T05:51:14ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/75103137510313A Classification of Fourth-Order Dissipative Differential OperatorsTao Wang0Ji-jun Ao1Mei-chun Yang2College of Sciences, Inner Mongolia University of Technology, Hohhot 010051, ChinaCollege of Sciences, Inner Mongolia University of Technology, Hohhot 010051, ChinaCollege of Sciences, Inner Mongolia University of Technology, Hohhot 010051, ChinaThis paper is devoted to the classification of the fourth-order dissipative differential operators by the boundary conditions. Subject to certain conditions, we determine some nonself-adjoint boundary conditions that generate the fourth-order differential operators to be dissipative. And under certain conditions, we prove that these dissipative operators have no real eigenvalues.http://dx.doi.org/10.1155/2020/7510313 |
| spellingShingle | Tao Wang Ji-jun Ao Mei-chun Yang A Classification of Fourth-Order Dissipative Differential Operators Journal of Function Spaces |
| title | A Classification of Fourth-Order Dissipative Differential Operators |
| title_full | A Classification of Fourth-Order Dissipative Differential Operators |
| title_fullStr | A Classification of Fourth-Order Dissipative Differential Operators |
| title_full_unstemmed | A Classification of Fourth-Order Dissipative Differential Operators |
| title_short | A Classification of Fourth-Order Dissipative Differential Operators |
| title_sort | classification of fourth order dissipative differential operators |
| url | http://dx.doi.org/10.1155/2020/7510313 |
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