| Автор | PETTERSSON, ROLF |
| Дата выпуска | 1983 |
| dc.description | This paper studies existence problems in L<sup>1</sup> for the linear, space-inhomogeneous Boltzmann equation with periodic or (perfectly) absorbing boundary conditions under realistic assumptions on the cross-sections. By an iteration technique, solutions are first constructed to an integral equation variant of the transport equation in the case of bounded impact parameters and an L<sup>1</sup> type of cross-sections. They are then used to study the existence of solutions of a measure form of the transport equation in the case of unbounded impact parameters. These solutions conserve mass. Estimates of their higher moments are also given. In particular the results hold for inverse kth-power forces with 3 < k ≤ 5. |
| Формат | application.pdf |
| Издатель | Oxford University Press |
| Копирайт | © 1983, by Academic Press Inc. (London) Ltd |
| Тема | Articles |
| Название | Existence Theorems for the Linear, Space-inhomogeneous Transport Equation |
| Тип | research-article |
| Electronic ISSN | 1464-3634 |
| Print ISSN | 0272-4960 |
| Журнал | IMA Journal of Applied Mathematics |
| Том | 30 |
| Первая страница | 81 |
| Последняя страница | 105 |
| Аффилиация | Department of Mathematics, Chalmers University of Technology and the University of GöteborgS-41296 Göteborg, Sweden |
| Выпуск | 1 |
