Spectral Distribution of Transport Operator Arising in Growing Cell Populations
Transport equation with partly smooth boundary conditions arising in growing cell populations is studied in Lp (1<p<+∞) space. It is to prove that the transport operator AH generates a C0 semigroup and the ninth-order remainder term R9(t) of the Dyson-Phillips expansion of the semigroup is co...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/748792 |
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| _version_ | 1832561996490342400 |
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| author | Hongxing Wu Shenghua Wang Dengbin Yuan |
| author_facet | Hongxing Wu Shenghua Wang Dengbin Yuan |
| author_sort | Hongxing Wu |
| collection | DOAJ |
| description | Transport equation with partly smooth boundary conditions arising in growing cell populations is studied in Lp (1<p<+∞) space. It is to prove that the transport operator AH generates a C0 semigroup and the ninth-order remainder term R9(t) of the Dyson-Phillips expansion of the semigroup is compact, and the spectrum of transport operator AH consists of only finite isolated eigenvalues with finite algebraic multiplicities in a trip Γω. The main methods rely on theory of linear operators, comparison operators, and resolvent operators approach. |
| format | Article |
| id | doaj-art-a34fe426be5f4210bc54555a650913e0 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a34fe426be5f4210bc54555a650913e02025-02-03T01:23:41ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/748792748792Spectral Distribution of Transport Operator Arising in Growing Cell PopulationsHongxing Wu0Shenghua Wang1Dengbin Yuan2Department of Mathematics, Shangrao Normal University, Shangrao, Jiangxi 334001, ChinaDepartment of Mathematics, Shangrao Normal University, Shangrao, Jiangxi 334001, ChinaDepartment of Mathematics, Shangrao Normal University, Shangrao, Jiangxi 334001, ChinaTransport equation with partly smooth boundary conditions arising in growing cell populations is studied in Lp (1<p<+∞) space. It is to prove that the transport operator AH generates a C0 semigroup and the ninth-order remainder term R9(t) of the Dyson-Phillips expansion of the semigroup is compact, and the spectrum of transport operator AH consists of only finite isolated eigenvalues with finite algebraic multiplicities in a trip Γω. The main methods rely on theory of linear operators, comparison operators, and resolvent operators approach.http://dx.doi.org/10.1155/2014/748792 |
| spellingShingle | Hongxing Wu Shenghua Wang Dengbin Yuan Spectral Distribution of Transport Operator Arising in Growing Cell Populations Journal of Function Spaces |
| title | Spectral Distribution of Transport Operator Arising in Growing Cell Populations |
| title_full | Spectral Distribution of Transport Operator Arising in Growing Cell Populations |
| title_fullStr | Spectral Distribution of Transport Operator Arising in Growing Cell Populations |
| title_full_unstemmed | Spectral Distribution of Transport Operator Arising in Growing Cell Populations |
| title_short | Spectral Distribution of Transport Operator Arising in Growing Cell Populations |
| title_sort | spectral distribution of transport operator arising in growing cell populations |
| url | http://dx.doi.org/10.1155/2014/748792 |
| work_keys_str_mv | AT hongxingwu spectraldistributionoftransportoperatorarisingingrowingcellpopulations AT shenghuawang spectraldistributionoftransportoperatorarisingingrowingcellpopulations AT dengbinyuan spectraldistributionoftransportoperatorarisingingrowingcellpopulations |