Existence and uniqueness for nonlinear boundary value problems in kinetic theory |
| |
| Authors: | Carlo Cercignani Andrzej Palczewski |
| |
| Institution: | (1) Dipartimento di Matematica del Politecnico di Milano, Milan, Italy;(2) Department of Mathematics, University of Warsaw, Warsaw, Poland |
| |
| Abstract: | A boundary value problem for the stationary nonlinear Boltzmann equation in a slab has been examined in a weightedL
 space. It has been proved that the problem possesses a unique solution for boundary data small enough. The proof is based on the implicit function theorem. It has also been shown that for the linearized problem the Fredholm alternative applies. |
| |
| Keywords: | Boltzmann equation boundary value problem kinetic theory |
| 本文献已被 SpringerLink 等数据库收录！ |
