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Licensed Unlicensed Requires Authentication Published by De Gruyter November 5, 2014

An inverse problem for the Vlasov–Poisson system

Fikret Gölgeleyen and Masahiro Yamamoto

Abstract

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.

Funding source: Council of Higher Education of Turkey

The authors would like to thank Professor Asaf Iskenderov for useful discussions on the subject of the paper. They also would like to thank the anonymous referee for the valuable comments and suggestions.

Received: 2014-1-28
Revised: 2014-8-24
Accepted: 2014-9-27
Published Online: 2014-11-5
Published in Print: 2015-8-1

© 2015 by De Gruyter

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