An inverse problem for the Vlasov-Poisson system

In this paper, we discuss an inverse problem for the Vlasov-Poisson system. We prove local uniqueness and stability theorems by using the method in Anikonov and Amirov [Dokl. Akad. Nauk SSSR 272 (1983), 1292-1293] under the specular reflection boundary condition and with a prescribed outward electrical field at the boundary. © 2015 by De Gruyter.Council for Higher EducationFunding: The first-named author was supported by a research grant from the Council of Higher Education of Turkey