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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


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Inverse problems for quantum kinetic equations

1Sobolev Institute of Mathematics, Siberian Branch of Russian Academy Sci., pros. Acad. Koptyuga, 4, 630090 Novosibirsk, Russia.

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 18, Issue 7, Pages 727–740, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2011.001, February 2011

Publication History

Received:
2007-10-09
Published Online:
2011-02-24

Abstract

In the paper the differential identity was obtained for quantum kinetic equation. On the basis of this identity the theorem of uniqueness of inverse problem of determining the solution and right-hand was proved given the boundary and initial information. The problem of recovery of the solution and potential was considered. Also, the solution in the quasipolynomial form was constructed.

Keywords.: Quantum kinetic equation; inverse problems

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