On global solutions for the Vlasov-Poisson system
In this article we show that the Vlasov-Poisson system has a unique weak solution in the space $L_1cap L_infty$. For this purpose, we use the method of characteristics, unlike the approach in [12].
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2004-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/58/abstr.html |
| _version_ | 1811251292768567296 |
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| author | Peter E. Zhidkov |
| author_facet | Peter E. Zhidkov |
| author_sort | Peter E. Zhidkov |
| collection | DOAJ |
| description | In this article we show that the Vlasov-Poisson system has a unique weak solution in the space $L_1cap L_infty$. For this purpose, we use the method of characteristics, unlike the approach in [12]. |
| first_indexed | 2024-04-12T16:18:17Z |
| format | Article |
| id | doaj.art-72bb1620622d4a2b925a35c28519da18 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T16:18:17Z |
| publishDate | 2004-04-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-72bb1620622d4a2b925a35c28519da182022-12-22T03:25:40ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-04-01200458111On global solutions for the Vlasov-Poisson systemPeter E. ZhidkovIn this article we show that the Vlasov-Poisson system has a unique weak solution in the space $L_1cap L_infty$. For this purpose, we use the method of characteristics, unlike the approach in [12].http://ejde.math.txstate.edu/Volumes/2004/58/abstr.htmlVlasov equationinitial value problemglobal weak solutionCoulomb potential of interactions |
| spellingShingle | Peter E. Zhidkov On global solutions for the Vlasov-Poisson system Electronic Journal of Differential Equations Vlasov equation initial value problem global weak solution Coulomb potential of interactions |
| title | On global solutions for the Vlasov-Poisson system |
| title_full | On global solutions for the Vlasov-Poisson system |
| title_fullStr | On global solutions for the Vlasov-Poisson system |
| title_full_unstemmed | On global solutions for the Vlasov-Poisson system |
| title_short | On global solutions for the Vlasov-Poisson system |
| title_sort | on global solutions for the vlasov poisson system |
| topic | Vlasov equation initial value problem global weak solution Coulomb potential of interactions |
| url | http://ejde.math.txstate.edu/Volumes/2004/58/abstr.html |
| work_keys_str_mv | AT peterezhidkov onglobalsolutionsforthevlasovpoissonsystem |