Semigroup Generation Theorems of Anti-Triangular Operator Matrices and Their Application
This paper deals with the semigroup generation of anti-triangular operator matrices M with unbounded entries in Hilbert space. Based on the space decomposition, some necessary and sufficient conditions are given for M to generate contraction semigroups. In addition, the anti-triangular differential...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/6621165 |
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| _version_ | 1832546233023987712 |
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| author | Jie Liu Junjie Huang Jiahui Yu Jingying Gao |
| author_facet | Jie Liu Junjie Huang Jiahui Yu Jingying Gao |
| author_sort | Jie Liu |
| collection | DOAJ |
| description | This paper deals with the semigroup generation of anti-triangular operator matrices M with unbounded entries in Hilbert space. Based on the space decomposition, some necessary and sufficient conditions are given for M to generate contraction semigroups. In addition, the anti-triangular differential system, converted from the damping wave equation, is used to explain our work, and it is proved that the corresponding anti-triangular operator matrix satisfies the conditions and generates a contraction semigroup. |
| format | Article |
| id | doaj-art-e7396d0b142f4a2ebcb866e19689d0af |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e7396d0b142f4a2ebcb866e19689d0af2025-02-03T07:23:38ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/6621165Semigroup Generation Theorems of Anti-Triangular Operator Matrices and Their ApplicationJie Liu0Junjie Huang1Jiahui Yu2Jingying Gao3School of Mathematical SciencesSchool of Mathematical SciencesSchool of Mathematical SciencesSchool of Mathematical SciencesThis paper deals with the semigroup generation of anti-triangular operator matrices M with unbounded entries in Hilbert space. Based on the space decomposition, some necessary and sufficient conditions are given for M to generate contraction semigroups. In addition, the anti-triangular differential system, converted from the damping wave equation, is used to explain our work, and it is proved that the corresponding anti-triangular operator matrix satisfies the conditions and generates a contraction semigroup.http://dx.doi.org/10.1155/2024/6621165 |
| spellingShingle | Jie Liu Junjie Huang Jiahui Yu Jingying Gao Semigroup Generation Theorems of Anti-Triangular Operator Matrices and Their Application Journal of Mathematics |
| title | Semigroup Generation Theorems of Anti-Triangular Operator Matrices and Their Application |
| title_full | Semigroup Generation Theorems of Anti-Triangular Operator Matrices and Their Application |
| title_fullStr | Semigroup Generation Theorems of Anti-Triangular Operator Matrices and Their Application |
| title_full_unstemmed | Semigroup Generation Theorems of Anti-Triangular Operator Matrices and Their Application |
| title_short | Semigroup Generation Theorems of Anti-Triangular Operator Matrices and Their Application |
| title_sort | semigroup generation theorems of anti triangular operator matrices and their application |
| url | http://dx.doi.org/10.1155/2024/6621165 |
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